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Mathematics

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Mathematics

Kindergarten Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Kindergarten
Objective: Assessment
2 Basic mathematics part 1 The Numbers 1 to 5
Objective: To match words and numbers from 1 to 5
3 Using and applying number The numbers 6 to 9
Objective: On completion of the lesson the student will be able to match cardinal words and numbers with groups of 6-9 objects.
4 Basic mathematics part 1 Ordinal numbers 1-9
Objective: To match ordinal words and numbers with groups of 1-9 objects
5 Basic mathematics part 1 Zero and the Counting Numbers 1 to 9
Objective: To identify ‘0’, to establish numerical order (1-10) and to match spelling
6 Basic mathematics part 1 The Number 10
Objective: To identify 10 things and to match groups (1-10) of things to their number
7 Basic mathematics part 1 The Numbers 11 to 20
Objective: To write the numeral and word for the numbers 11 to 20 and to count up to 20
8 Basic mathematics part 1 Using Place Value to Order Numbers up to 20
Objective: To use place value to understand the value of numbers up to 20
9 Calculations The numbers 20 to 99
Objective: On completion of the lesson the student will be able to identify, name and add groups of ten, counting to ninety-nine.
10 Basic mathematics part 1 Simple addition up to the number 10
Objective: To construct addition sentences (sum to 10) using + and =
11 Basic mathematics part 1 Simple addition up to the number 20
Objective: To add numbers 1 to 10 to a sum <20 using horizontal and vertical formats
12 Calculations Subtraction up to the number 10
Objective: On completion of the lesson the student will be able to calculate the answer to take away or subtraction number sentences up to the number 10.
13 Basic mathematics part 1 Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
14 Measurement – Length Compare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
15 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
16 Area Comparing and ordering areas.
Objective: On completion of the lesson the student will be able to estimate and compare the area of shapes using a standard unit and order shapes according to their area.
17 Time Months and Seasons of the year
Objective: To name and order the months of the year, the number of days in each month and name the seasons in order
18 Time Days of the Week
Objective: To name and recognise the days of the week in order
19 Time Duration
Objective: To choose the difference between a short time and a long time
20 Time Units of time
Objective: To convert units of time by reading simple timetables, timelines and calendars
21 Space Recognise and name triangles
Objective: To recall properties of different triangles
22 Geometry part 1 Special triangles
Objective: To use the properties of equilateral and isosceles triangles to calculate angle size
23 Geometry part 1 Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
24 3-D shapes Recognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
25 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
26 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
27 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
28 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
29 Exam Exam – Kindergarten
Objective: Exam
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Grade 1 Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 1
Objective: Assessment
2 Basic mathematics part 1 The Numbers 1 to 5
Objective: To match words and numbers from 1 to 5
3 Using and applying number The numbers 6 to 9
Objective: On completion of the lesson the student will be able to match cardinal words and numbers with groups of 6-9 objects.
4 Basic mathematics part 1 Zero and the Counting Numbers 1 to 9
Objective: To identify ‘0’, to establish numerical order (1-10) and to match spelling
5 Basic mathematics part 1 The Number 10
Objective: To identify 10 things and to match groups (1-10) of things to their number
6 Basic mathematics part 1 The Numbers 11 to 20
Objective: To write the numeral and word for the numbers 11 to 20 and to count up to 20
7 Calculations The numbers 20 to 99
Objective: On completion of the lesson the student will be able to identify, name and add groups of ten, counting to ninety-nine.
8 Basic mathematics part 1 Simple addition up to the number 10
Objective: To construct addition sentences (sum to 10) using + and =
9 Basic mathematics part 1 Simple addition up to the number 20
Objective: To add numbers 1 to 10 to a sum <20 using horizontal and vertical formats
10 Calculations Subtraction up to the number 10
Objective: On completion of the lesson the student will be able to calculate the answer to take away or subtraction number sentences up to the number 10.
11 Basic mathematics part 1 Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
12 Basic mathematics part 1 Using Place Value to Order Numbers up to 20
Objective: To use place value to understand the value of numbers up to 20
13 Basic mathematics part 1 Multiples of 10 up to 100
Objective: To match numerals and word names for multiples of 10 and add multiples of 10
14 Basic mathematics part 1 Subtraction up to the number 20
Objective: To accurately subtract numbers 1-20 using horizontal and vertical formats
15 Basic mathematics part 1 Multiplication using repeated addition
Objective: To perform repeated addition in preparation for multiplication
16 Basic mathematics part 1 The number 100
Objective: To count by 1, 2, 5 and 10s to 100 and recognise that 10 x 10 = 100
17 Basic mathematics part 1 Addition up to the number 99
Objective: To add two 2-digit numbers to 99
18 Basic mathematics part 1 Subtraction up to the number 99
Objective: To subtract multiples of 10 and subtract 2-digit numbers without trading
19 Basic mathematics part 1 Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
20 Measurement – Length Compare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
21 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
22 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
23 Area Comparing and ordering areas.
Objective: On completion of the lesson the student will be able to estimate and compare the area of shapes using a standard unit and order shapes according to their area.
24 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
25 Time O’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
26 Space Recognise and name triangles
Objective: To recall properties of different triangles
27 Geometry part 1 Special triangles
Objective: To use the properties of equilateral and isosceles triangles to calculate angle size
28 Geometry part 1 Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
29 3-D shapes Recognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
30 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
31 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
32 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
33 Space Position
Objective: To use positional terms such as behind, next to and above, accurately
34 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
35 Data Bar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
36 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
37 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
38 Exam Exam – Grade 1
Objective: Exam
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Grade 2 Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 2
Objective: Assessment
2 Calculations The numbers 20 to 99
Objective: On completion of the lesson the student will be able to identify, name and add groups of ten, counting to ninety-nine.
3 Basic mathematics part 1 The numbers 100 to 999
Objective: To use pictures and numerals for numbers 100 to 999 and count by 10s and 100s
4 Basic mathematics part 1 Using Place Value to Order Numbers up to 20
Objective: To use place value to understand the value of numbers up to 20
5 Basic mathematics part 1 Simple addition up to the number 10
Objective: To construct addition sentences (sum to 10) using + and =
6 Basic mathematics part 1 Simple addition up to the number 20
Objective: To add numbers 1 to 10 to a sum <20 using horizontal and vertical formats
7 Calculations Subtraction up to the number 10
Objective: On completion of the lesson the student will be able to calculate the answer to take away or subtraction number sentences up to the number 10.
8 Basic mathematics part 1 Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
9 Basic mathematics part 1 Subtraction up to the number 20
Objective: To accurately subtract numbers 1-20 using horizontal and vertical formats
10 Basic mathematics part 1 Addition up to the number 99
Objective: To add two 2-digit numbers to 99
11 Basic mathematics part 1 Subtraction up to the number 99
Objective: To subtract multiples of 10 and subtract 2-digit numbers without trading
12 Basic mathematics part 1 Subtraction with trading
Objective: To subtract 1 and 2-digit numbers with trading
13 Basic mathematics part 1 Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
14 Basic mathematics part 2 Addition up to the number 999
Objective: To add up to three 2 and 3-digit numbers with and without trading
15 Basic mathematics part 2 Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
16 Basic mathematics part 1 Multiplication using equal groups
Objective: To identify multiplication as a number of groups of objects
17 Basic mathematics part 1 Multiplication using repeated addition
Objective: To perform repeated addition in preparation for multiplication
18 Basic mathematics part 1 The Multiplication Sign
Objective: To use the ‘x’ sign for repeated addition and perform 1-digit multiplication
19 Basic mathematics part 1 Multiples of 10 up to 100
Objective: To match numerals and word names for multiples of 10 and add multiples of 10
20 Basic mathematics part 1 The number 100
Objective: To count by 1, 2, 5 and 10s to 100 and recognise that 10 x 10 = 100
21 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
22 Basic mathematics part 2 Solve and record division using known facts and sharing
Objective: To divide 100 by its factors and divide 2-digit multiples by factors 1 to 5
23 Basic mathematics part 1 Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
24 Fractions Using fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole
25 Fractions Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects
26 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
27 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
28 Fractions mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
29 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
30 Decimals Intro to Decimals
Objective: To relate the equivalent fraction to a decimal
31 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
32 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
33 Decimals Using decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
34 Basic mathematics part 2 Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
35 Basic mathematics part 2 Multiplication by 2 and 3 Digits
Objective: To multiply 3 or 4-digit numbers by 2 or 3-digit numbers
36 Measurement – Length Compare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
37 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
38 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
39 Data Bar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
40 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
41 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
42 Measurement – Length Compare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
43 Measurement – Length Using the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
44 Time Units of time
Objective: To convert units of time by reading simple timetables, timelines and calendars
45 Time am and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
46 Time Quarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
47 Time Relating analogue and digital time
Objective: To read analogue and digital clocks to the minute
48 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
49 Time O’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
50 3-D shapes Recognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
51 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
52 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
53 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
54 Space Recognise and name triangles
Objective: To recall properties of different triangles
55 Space Use grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
56 Basic mathematics part 1 The Numbers 1 to 5
Objective: To match words and numbers from 1 to 5
57 Using and applying number The numbers 6 to 9
Objective: On completion of the lesson the student will be able to match cardinal words and numbers with groups of 6-9 objects.
58 Basic mathematics part 1 The Number 10
Objective: To identify 10 things and to match groups (1-10) of things to their number
59 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
60 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
61 Exam Exam – Grade 2
Objective: Exam
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Grade 3 Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 3
Objective: Assessment
2 Basic mathematics part 1 The numbers 100 to 999
Objective: To use pictures and numerals for numbers 100 to 999 and count by 10s and 100s
3 Basic mathematics part 2 The numbers 1000 to 9999
Objective: To write words and numbers to 9999 and count by 1, 10, 100 and 1000 to 9999
4 Basic mathematics part 1 Addition up to the number 99
Objective: To add two 2-digit numbers to 99
5 Basic mathematics part 1 Subtraction up to the number 99
Objective: To subtract multiples of 10 and subtract 2-digit numbers without trading
6 Basic mathematics part 1 Subtraction with trading
Objective: To subtract 1 and 2-digit numbers with trading
7 Basic mathematics part 1 Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
8 Basic mathematics part 2 Addition up to the number 999
Objective: To add up to three 2 and 3-digit numbers with and without trading
9 Basic mathematics part 2 Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
10 Basic mathematics part 2 Addition to 9999 and beyond
Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999
11 Subtraction Subtraction involving four digit numbers and beyond using the renaming method.
Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers.
12 Basic mathematics part 1 Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
13 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
14 Basic mathematics part 2 Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
15 Basic mathematics part 2 Solve and record division using known facts and sharing
Objective: To divide 100 by its factors and divide 2-digit multiples by factors 1 to 5
16 Basic mathematics part 2 Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
17 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
18 Decimals Using decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
19 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
20 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
21 Money Problems involving money
Objective: On completion of the lesson the student will be able to solve problems with money.
22 Fractions Using fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole
23 Fractions Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects
24 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
25 Fractions mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
26 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
27 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
28 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
29 Fractions Adding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
30 Decimals Intro to Decimals
Objective: To relate the equivalent fraction to a decimal
31 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
32 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
33 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
34 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
35 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
36 Area Comparing and ordering areas.
Objective: On completion of the lesson the student will be able to estimate and compare the area of shapes using a standard unit and order shapes according to their area.
37 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
38 Measurement – Length Compare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
39 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
40 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
41 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
42 Rules properties Using Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
43 Basic mathematics part 1 Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
44 Basic mathematics part 1 The Multiplication Sign
Objective: To use the ‘x’ sign for repeated addition and perform 1-digit multiplication
45 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
46 Number sets Addition and Multiplication Properties for Real Numbers
Objective: To identify and name addition and multiplication properties for real numbers
47 Basic mathematics part 1 Multiplication using equal groups
Objective: To identify multiplication as a number of groups of objects
48 Basic mathematics part 1 Multiplication using repeated addition
Objective: To perform repeated addition in preparation for multiplication
49 Basic mathematics part 1 Multiples of 10 up to 100
Objective: To match numerals and word names for multiples of 10 and add multiples of 10
50 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
51 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
52 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
53 Measurement – Volume Constructing Models
Objective: To develop volume of prisms as layers of a number of 1 cm cubes
54 Measurement – Volume Using the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
55 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
56 Measurement – Length Using the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
57 Measurement – Length Compare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
58 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
59 Space Recognise and name triangles
Objective: To recall properties of different triangles
60 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
61 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
62 3-D shapes Recognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
63 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
64 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
65 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
66 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
67 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
68 Data Bar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
69 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
70 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
71 Exam Exam – Grade 3
Objective: Exam
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Grade 4 Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 4
Objective: Assessment
2 Basic mathematics part 2 Seven digit numbers
Objective: To determine the place value of digits in, and the name of numbers to 1 000 000
3 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
4 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
5 Decimals Decimals to three decimal places
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.
6 Fractions Using fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole
7 Fractions Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects
8 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
9 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
10 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
11 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
12 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
13 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
14 Fractions Comparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
15 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
16 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
17 Basic mathematics part 2 Addition to 9999 and beyond
Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999
18 Subtraction Subtraction involving four digit numbers and beyond using the renaming method.
Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers.
19 Basic mathematics part 2 Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
20 Basic mathematics part 2 Multiplication by 2 and 3 Digits
Objective: To multiply 3 or 4-digit numbers by 2 or 3-digit numbers
21 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
22 Long multiplication Multiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
23 Long multiplication Multiplying 3 and 4-digit numbers by multiples of 100
Objective: To multiply 4-digit numbers by multiples of 100 using long multiplication
24 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
25 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
26 Basic mathematics part 2 Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
27 Basic mathematics part 1 Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
28 Basic mathematics part 1 The Multiplication Sign
Objective: To use the ‘x’ sign for repeated addition and perform 1-digit multiplication
29 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
30 Basic mathematics part 1 Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
31 Rules properties Using Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
32 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
33 Measurement – Area Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
34 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
35 Number sets Addition and Multiplication Properties for Real Numbers
Objective: To identify and name addition and multiplication properties for real numbers
36 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
37 Measurement – Area Larger Areas: Square Metre, Hectare, Square Kilometre
Objective: To calculate areas in square centimetres, square metres, square kilometres and hectares and convert one to another
38 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
39 Coordinate Geometry-straight line The straight line.
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists.
40 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
41 Geometry-angles Parallel Lines.
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles.
42 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
43 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
44 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
45 Geometry transformations Geometry Transformations without Matrices: Translation
Objective: To find the image of a point or object after a translation
46 Geometry transformations Geometry Transformations without Matrices: Dilation or Enlargement
Objective: To describe dilations and to calculate lengths and scale factors of dilated figures
47 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
48 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
49 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
50 Space Recognise and name triangles
Objective: To recall properties of different triangles
51 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
52 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
53 Data Bar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
54 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
55 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
56 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
57 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
58 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
59 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
60 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
61 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
62 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
63 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
64 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
65 Exam Exam – Grade 4
Objective: Exam
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Grade 5 Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 5
Objective: Assessment
2 Subtraction Subtraction involving four digit numbers and beyond using the renaming method.
Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers.
3 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
4 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
5 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
6 Measurement – Mass The Tonne
Objective: To convert kg to tonnes and solve problems involving heavy masses
7 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
8 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
9 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
10 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
11 Logarithms-Power of 2 Powers of 2.
Objective: On completion of the lesson the student should be able to convert between logarithmic statements and index statements to the power of 2.
12 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
13 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
14 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
15 Basic mathematics part 2 Divide whole numbers by a 2-digit divisor
Objective: To divide up to 4-digit by 1 or 2-digit numbers with remainders as reduced fractions
16 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
17 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
18 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
19 Fractions Dividing fractions
Objective: To divide fractions by other fractions
20 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
21 Rules properties Using Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
22 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
23 Data Bar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
24 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
25 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
26 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
27 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
28 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
29 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
30 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
31 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
32 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
33 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
34 Space Main and intermediate compass points
Objective: To specify direction using the eight points of a compass
35 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
36 Co-ordinate geometry part 1 The Mid-Point Formula
Objective: To determine the mid-point of an interval using the mid-point formula
37 Measurement – Area Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
38 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
39 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
40 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
41 Measurement – Volume Introduction to Volume: using the cubic centimetre as a standard unit
Objective: To count volume using 1 cm cubes
42 Measurement – Volume Constructing Models
Objective: To develop volume of prisms as layers of a number of 1 cm cubes
43 Measurement – Volume Using the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
44 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
45 Volume Using the cubic metre to measure volume.
Objective: On completion of the lesson the student will be able to: recognise the need for a unit larger than the cubic centimetre, use the cubic metre as a formal unit for measuring large volumes, and explain why volume is measured in cubic metres in certain situat
46 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
47 Measurement – Length Using the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
48 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
49 Geometry part 1 Measuring Angles
Objective: To use a protractor to measure angles and identify angles as acute, obtuse or reflex
50 Geometry-constructions Geometric constructions
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.
51 Geometry part 3 Points, Lines and Planes
Objective: To identify collinear points and coplanar lines and points in 2 and 3 dimensions
52 Geometry – angles To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra
Objective: On completion of the lesson the student will label angles, use a protractor and perform calculations using algebra involving angles.
53 Geometry part 1 Angle Sum of a Triangle
Objective: To use the angle sum for a triangle to calculate unknown angles
54 Geometry part 1 Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
55 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
56 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
57 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
58 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
59 Fractions Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects
60 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
61 Exam Exam – Grade 5
Objective: Exam
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Grade 6 Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 6
Objective: Assessment
2 Fractions mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
3 Fractions Using fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole
4 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
5 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
6 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
7 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
8 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
9 Geometry transformations Geometry Transformations without Matrices: Mixed and Combined Transformations
Objective: To identify images produced by a given sequence of transformations
10 Decimals Using decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
11 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
12 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
13 Money Problems involving money
Objective: On completion of the lesson the student will be able to solve problems with money.
14 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
15 Fractions Comparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
16 Fractions Subtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
17 Fractions Adding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
18 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
19 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
20 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
21 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
22 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
23 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
24 Fractions Dividing fractions
Objective: To divide fractions by other fractions
25 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
26 Rules properties Using Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
27 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
28 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
29 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
30 Number sets Addition and Multiplication Properties for Real Numbers
Objective: To identify and name addition and multiplication properties for real numbers
31 Number sets Transformations That Produce Equivalent Equations
Objective: To name properties of equality used to create equivalent equations and solve equations
32 Measurement – Length Compare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
33 Time Average speed
Objective: To understand what is meant by the speed and average speed of an object and read the instantaneous speed of a vehicle on a speedometer
34 Uniform motion Using Subscripted Variables
Objective: To use subscripted variables to solve motion problems
35 Uniform motion Uniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
36 Measurement – Area Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
37 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
38 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
39 Geometry part 1 Complementary and Supplementary Angles
Objective: To recognise and calculate the size of complementary and supplementary angles
40 Geometry part 1 Angle Sum of a Triangle
Objective: To use the angle sum for a triangle to calculate unknown angles
41 Geometry part 1 Exterior angle theorem
Objective: To use the external angle of a triangle theorem to calculate unknown angles
42 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
43 Geometry part 1 Measuring Angles
Objective: To use a protractor to measure angles and identify angles as acute, obtuse or reflex
44 Geometry part 1 Adjacent Angles
Objective: To recognise and calculate the size of adjacent angles
45 Geometry part 1 Vertically Opposite Angles
Objective: To determine values of pronumerals in vertically opposite angles
46 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
47 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
48 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
49 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
50 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
51 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
52 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
53 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
54 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
55 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
56 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
57 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
58 Exam Exam – Grade 6
Objective: Exam
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Grade 7 Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 7
Objective: Assessment
2 Standard/Scientific notation Scientific notation with larger numbers
Objective: To write large numbers in standard or scientific notation
3 Standard/Scientific notation Scientific notation with small numbers
Objective: To write small numbers in standard or scientific notation
4 Scientific notation Changing scientific notation to numerals
Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation.
5 Basic mathematics part 2 Solve and record division using known facts and sharing
Objective: To divide 100 by its factors and divide 2-digit multiples by factors 1 to 5
6 Basic mathematics part 1 Subtraction with trading
Objective: To subtract 1 and 2-digit numbers with trading
7 Basic mathematics part 1 Addition up to the number 99
Objective: To add two 2-digit numbers to 99
8 Basic mathematics part 1 Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
9 Basic mathematics part 2 Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
10 Subtraction Subtraction involving four digit numbers and beyond using the renaming method.
Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers.
11 Basic mathematics part 2 Divide whole numbers by a 2-digit divisor
Objective: To divide up to 4-digit by 1 or 2-digit numbers with remainders as reduced fractions
12 Fractions Subtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
13 Fractions Adding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
14 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
15 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
16 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
17 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
18 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
19 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
20 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
21 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
22 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
23 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
24 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
25 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
26 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
27 Number sets Number Sets and Their Members
Objective: To distinguish between number sets and identify elements and subsets of number sets
28 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
29 Decimals Using decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
30 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
31 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
32 Rules for indices/exponents Subtracting indices when dividing terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.
33 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
34 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
35 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
36 Algebra – Basic Simplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
37 Algebra – Basic Simplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
38 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
39 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
40 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
41 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
42 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
43 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
44 Number sets Addition and Multiplication Properties for Real Numbers
Objective: To identify and name addition and multiplication properties for real numbers
45 Number sets Transformations That Produce Equivalent Equations
Objective: To name properties of equality used to create equivalent equations and solve equations
46 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
47 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
48 Data Bar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
49 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
50 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
51 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
52 Algebra – Basic Algebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
53 Geometry-parabola The parabola: to describe properties of a parabola from its equation
Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions.
54 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
55 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
56 Coordinate Geometry-straight line The straight line.
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists.
57 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
58 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
59 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
60 Algebraic equations Solving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
61 Algebra – Basic Solving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
62 Algebra – Basic Inequalities
Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign
63 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
64 Uniform motion Using Subscripted Variables
Objective: To use subscripted variables to solve motion problems
65 Uniform motion Uniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
66 Uniform motion Uniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
67 Uniform motion Uniform motion with unequal distances
Objective: On completion of the lesson the student will use subscripted variables for calculations of speed, unequal distances and time.
68 Uniform motion Uniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
69 Measurement – Length Compare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
70 Length Read and calculate distances on a map using the formal unit kilometre
Objective: On completion of the lesson the student will be able to read distances in kilometres and calculate total distances between different locations on a map.
71 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
72 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
73 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
74 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
75 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
76 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
77 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
78 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
79 Volume Composite solids.
Objective: On completion of the lesson the student will be able to: dissect composite solids into simpler shapes so that the volume can be calculated, calculate the volume of a variety of composite solids, and use formulae appropriately.
80 Measurement – Volume Using the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
81 Geometry-constructions Geometric constructions
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.
82 Geometry part 3 Points, Lines and Planes
Objective: To identify collinear points and coplanar lines and points in 2 and 3 dimensions
83 Geometry – angles To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra
Objective: On completion of the lesson the student will label angles, use a protractor and perform calculations using algebra involving angles.
84 Geometry part 3 Angle Bisector Construction and its Properties
Objective: To geometrically bisect angles and calculate angle size given bisection
85 Geometry part 3 Circumcenter and Incenter
Objective: To use properties of triangles, circles, circumcentres and incentres
86 Geometry part 3 Orthocentre and Centroids
Objective: To use properties of triangles, circles orthocentres and centroids
87 Geometry part 3 Midsegments
Objective: To determine midsegments, their length, slope and other properties
88 Co-ordinate geometry part 2 Transformations: Reflections
Objective: To identify reflections and to use isometric properties of reflections
89 Geometry transformations Geometry Transformations without Matrices: Translation
Objective: To find the image of a point or object after a translation
90 Geometry transformations Geometry Transformations without Matrices: Rotation
Objective: To determine rotation angle and to perform prescribed rotations
91 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
92 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
93 Pythagoras Calculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
94 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
95 Geometry-congruence Congruent triangles, Test 1 and 2
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent.
96 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
97 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
98 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
99 Surface area Surface Area of Composite Solids
Objective: To calculate the surface area of composite solids
100 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
101 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
102 Decimals Intro to Decimals
Objective: To relate the equivalent fraction to a decimal
103 Exam Exam – Grade 7
Objective: Exam
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Grade 8-12 Algebra I Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Algebra I
Objective: Assessment
2 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
3 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
4 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
5 Rules for indices/exponents Subtracting indices when dividing terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.
6 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
7 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
8 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
9 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
10 Fractional indices/exponents Fractional indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices.
11 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
12 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
13 Absolute value Solving Absolute Value Equations
Objective: To solve equations involving absolute values
14 Absolute value Solving and Graphing Inequalities
Objective: To graph the solution set of absolute value inequalities
15 Algebra – Basic Solving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
16 Algebra – Basic Equations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
17 Algebra – Basic Equations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
18 Algebra – Basic Equations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
19 Algebra- formulae Changing the subject of the formula.
Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously.
20 Number sets Transformations That Produce Equivalent Equations
Objective: To name properties of equality used to create equivalent equations and solve equations
21 Co-ordinate geometry part 1 General Form of a Line and the x and y Intercepts
Objective: To write linear equations in general form, to find the x and y intercepts and to calculate area
22 Co-ordinate geometry part 2 Inequalities on the Number Plane
Objective: To identify the graph which matches a given inequality
23 Co-ordinate geometry part 2 Intercept form of a straight line: find the equation when given x and y
Objective: To find the equation of a line given the x-axis and y-axis intercepts
24 Co-ordinate geometry part 1 Point Slope Form of a Line
Objective: To find the equation of a line given its slope and a point on the line (y-y1) = m(x-x1)
25 Co-ordinate geometry part 2 Parallel Lines: identify equation of a line parallel to another
Objective: To change the standard form of a straight line equation to the y = mx + b form
26 Co-ordinate geometry part 2 Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
27 Simultaneous equations Simultaneous Equations
Objective: To solve simultaneous equations by substitution
28 Simultaneous equations Elimination method
Objective: To solve simultaneous equations by elimination
29 Simultaneous equations Elimination method part 2
Objective: To solve more difficult simultaneous equations by elimination
30 Simultaneous equns Applications of simultaneous equations
Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations.
31 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
32 Algebra – Basic Simplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
33 Algebra – Basic Simplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
34 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
35 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
36 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
37 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
38 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
39 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
40 Algebra – Basic Factorisation of algebraic fractions including binomials
Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions
41 Algebra – Products and factors Binomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
42 Algebra – Products and factors Binomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
43 Algebra – Products and factors Binomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
44 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
45 Squaring binomial Squaring a binomial [non-monic].
Objective: On completion of the lesson the student will apply the same rule that is used with monic binomials.
46 Algebra – Products and factors Expansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
47 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
48 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
49 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
50 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
51 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
52 Algebra – Products and factors Common factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares.
53 Algebra – Basic Simplifying easy algebraic fractions
Objective: To simplify simple algebraic fractions using cancellation of common factors
54 Algebra – Basic Simplifying algebraic fractions using the Index Laws
Objective: To use the index laws for division to simplify algebraic fractions
55 Algebra – Basic Algebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
56 Algebra – Basic Cancelling binomial factors in algebraic fractions
Objective: To simplify algebraic fractions with binomials in both the numerator and denominator
57 Algebraic fractions Simplifying algebraic fractions.
Objective: On completion of the lesson the student should be familiar with all of the factorisation methods presented to this point.
58 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
59 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
60 Algebraic equations Solving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
61 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
62 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
63 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
64 Algebra – Products and factors Quadratic Trinomials (monic): Case 2
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
65 Algebra – Products and factors Quadratic Trinomials (monic): Case 3
Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
66 Factorising quads Factorising quadratic trinomials [monic] – Case 4.
Objective: On completion of the lesson the student will understand how to factorise all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
67 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
68 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
69 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
70 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
71 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
72 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
73 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
74 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
75 Uniform motion Using Subscripted Variables
Objective: To use subscripted variables to solve motion problems
76 Uniform motion Uniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
77 Uniform motion Uniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
78 Uniform motion Uniform motion with unequal distances
Objective: On completion of the lesson the student will use subscripted variables for calculations of speed, unequal distances and time.
79 Uniform motion Uniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
80 Uniform motion Vertical Motion under gravity: Object Dropped from Rest
Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest
81 Uniform motion Vertical Motion under gravity: Initial Velocity not Zero
Objective: To calculate velocity, time and distance for vertical motion with initial velocity not zero
82 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
83 Function Function Notation
Objective: To write and evaluate functions using function notation
84 Functions More on domain and range
Objective: On completion of the lesson the student will be able to describe the domain and range using appropriate set notation.
85 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
86 Quadratic equations Problem solving with quadratic equations
Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it.
87 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
88 Geometry-parabola The parabola: to describe properties of a parabola from its equation
Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions.
89 Graphs part 1 Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
90 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
91 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
92 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
93 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
94 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
95 Logic Conditional statements (converse, inverse and contrapositive) (Stage 2)
Objective: On completion of the lesson the student will be able to form related conditional statements.
96 Exam Exam – Grade 8-12 Algebra I
Objective: Exam
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Grade 8-12 Geometry Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Geometry
Objective: Assessment
2 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
3 Logic Mathematical induction
Objective: To use proof by mathematical induction
4 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
5 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
6 Geometry-congruence Congruent triangles, Test 1 and 2
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent.
7 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
8 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
9 Geometry part 2 Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
10 Similar triangles Using similar triangles to calculate lengths
Objective: On completion of the lesson the student will be able to calculate lengths using similar triangles.
11 Geometry part 2 Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
12 Geometry part 3 The Triangle Inequality Theorem
Objective: To use the triangle inequality theorem to determine constructability of triangles
13 Geometry-angles Parallel Lines.
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles.
14 Geometry part 1 Additional questions involving parallel lines
Objective: To determine angle magnitude for angles formed by parallel lines and transversals
15 Geometry part 2 More difficult exercises involving parallel lines
Objective: To determine the angles of geometric figures using known properties and theorems
16 Geometry part 2 Further difficult exercises involving formal reasoning
Objective: To determine formally angles of geometric figures using known properties and theorems
17 Circle geometry part 1 Theorem – Equal arcs subtend equal angles at the centre
Objective: To know that equal arcs on circles of equal radii subtend equal angles at the centre
18 Circle geometry part 1 Theorem – The perpendicular from the centre to a chord bisects the chord
Objective: To know that the perpendicular from the centre of a circle to a chord bisects the chord and to know that the line from the centre of a circle to the mid-point of a chord is perpendicular to the chord
19 Circle geometry part 1 Theorem – Equal chords in a circle are equidistant from the centre
Objective: To know that equal chords in equal circles are equidistant from the centres
20 Circle geometry part 1 Theorem – The angle at the centre is double the angle at the circumference
Objective: To know that the angle at the centre of a circle is double the angle at the circumference standing on the same arc
21 Circle geometry part 1 Theorem: Angles in the same segment of a circle are equal
Objective: To know that angles in the same segment of a circle are equal
22 Circle Geometry Theorem – The angle of a semi-circle is a right angle.
Objective: On completion of the lesson the student will be able to prove that ‘The angle of a semi-circle is a right-angle.’
23 Circle geometry part 1 Theorem: The opposite angles of a cyclic quadrilateral are supplementary
Objective: To know that the opposite angles of a cyclic quadrilateral are supplementary
24 Circle geometry part 1 Theorem – Exterior angle of cyclic quadrilateral equals interior opposite angles
Objective: To know that the exterior angle at a vertex of a cyclic quadrilateral equals the interior opposite angle
25 Circle geometry part 1 Theorem – At the point of contact a tangent is perpendicular to the radius
Objective: To know that the tangent to a circle is perpendicular to the radius drawn to it
26 Circle geometry part 1 Theorem: Tangents to a circle from an external point are equal
Objective: To know that the tangents to a circle from an external point are equal
27 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
28 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
29 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
30 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
31 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
32 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
33 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
34 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
35 Surface area Surface area of a triangular/trapezoidal prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.
36 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
37 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
38 Surface area Surface Area of Composite Solids
Objective: To calculate the surface area of composite solids
39 Surface area Surface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
40 Measurement – Area Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
41 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
42 Geometry part 1 Angle Sum of a Triangle
Objective: To use the angle sum for a triangle to calculate unknown angles
43 Geometry part 1 Exterior angle theorem
Objective: To use the external angle of a triangle theorem to calculate unknown angles
44 Geometry part 1 Special triangles
Objective: To use the properties of equilateral and isosceles triangles to calculate angle size
45 Geometry part 1 Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
46 Quadrilaterals Quadrilaterals 1
Objective: To recognise, name and describe the properties of quadrilaterals
47 Quadrilaterals Properties of Parallelograms – Opposite Angles Equal
Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’
48 Quadrilaterals Properties of Parallelograms – Diagonals, Sides and Angles
Objective: To prove parallelogram properties and calculate unknown angles and lengths
49 Quadrilaterals The Parallelogram Umbrella
Objective: To prove properties of specific parallelograms and find angles and lengths
50 Quadrilaterals Properties of Trapezoids
Objective: To prove properties of trapezoids and find unknown lengths and angles
51 Geometry-quadrilaterals The quadrilateral family and coordinate methods in geometry
Objective: On completion of this lesson the student will know the relationships between quadrilaterals and use coordinate methods to prove some of the properties.
52 Pythagoras Proofs of Pythagoras’ Theorem
Objective: To examine and complete proofs of Pythagoras’ Theorem
53 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
54 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
55 Pythagoras Calculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
56 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
57 Geometry-constructions Geometric constructions
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.
58 Geometry part 3 Points, Lines and Planes
Objective: To identify collinear points and coplanar lines and points in 2 and 3 dimensions
59 Geometry – angles To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra
Objective: On completion of the lesson the student will label angles, use a protractor and perform calculations using algebra involving angles.
60 Geometry part 3 Angle Bisector Construction and its Properties
Objective: To geometrically bisect angles and calculate angle size given bisection
61 Geometry part 3 Circumcenter and Incenter
Objective: To use properties of triangles, circles, circumcentres and incentres
62 Geometry part 3 Orthocentre and Centroids
Objective: To use properties of triangles, circles orthocentres and centroids
63 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
64 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
65 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
66 Trigonometry-ratios Using the trigonometric ratios to find unknown length. [Case 1 Sine].
Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances.
67 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
68 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
69 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
70 Trigonometry part 1 Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
71 Circle geometry part 1 Theorem – Angle between a tangent and chord equals angle in alternate segment
Objective: To know that the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment
72 Geometry transformations Geometry Transformations without Matrices: Translation
Objective: To find the image of a point or object after a translation
73 Geometry transformations Geometry Transformations without Matrices: Rotation
Objective: To determine rotation angle and to perform prescribed rotations
74 Geometry transformations Geometry Transformations without Matrices: Dilation or Enlargement
Objective: To describe dilations and to calculate lengths and scale factors of dilated figures
75 Exam Exam – Grade 8-12 Geometry
Objective: Exam
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Grade 8-12 Algebra II Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Algebra II
Objective: Assessment
2 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
3 Absolute value Solving Absolute Value Equations
Objective: To solve equations involving absolute values
4 Absolute value Solving and Graphing Inequalities
Objective: To graph the solution set of absolute value inequalities
5 Simultaneous equations Simultaneous Equations
Objective: To solve simultaneous equations by substitution
6 Simultaneous equations Elimination method
Objective: To solve simultaneous equations by elimination
7 Simultaneous equations Elimination method part 2
Objective: To solve more difficult simultaneous equations by elimination
8 Simultaneous equns Applications of simultaneous equations
Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations.
9 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
10 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
11 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
12 Matrices – Linear systems Linear Systems with Matrices
Objective: To identify and describe matrices and perform row operations in matrices
13 Matrices – Linear systems Row Echelon Form
Objective: To identify and create matrices in row echelon form and to solve systems of equations
14 Linear systems Gauss Jordan elimination method (Stage 2)
Objective: On completion of the lesson the student will process matrices formed from linear systems of equations using the Gauss Jordan elimination method.
15 Algebra – Basic Factorisation of algebraic fractions including binomials
Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions
16 Algebra – Basic Cancelling binomial factors in algebraic fractions
Objective: To simplify algebraic fractions with binomials in both the numerator and denominator
17 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
18 Algebra – Products and factors Binomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
19 Algebra – Products and factors Binomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
20 Algebra – Products and factors Binomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
21 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
22 Squaring binomial Squaring a binomial [non-monic].
Objective: On completion of the lesson the student will apply the same rule that is used with monic binomials.
23 Algebra – Products and factors Expansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
24 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
25 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
26 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
27 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
28 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
29 Algebra – Products and factors Common factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares.
30 Algebra – Products and factors Quadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
31 Algebra – Products and factors Quadratic Trinomials (monic): Case 2
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
32 Algebra – Products and factors Quadratic Trinomials (monic): Case 3
Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
33 Factorising quads Factorising quadratic trinomials [monic] – Case 4.
Objective: On completion of the lesson the student will understand how to factorise all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
34 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
35 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
36 Algebra – Products and factors Sum and Difference of Two Cubes
Objective: To factorise the sum and difference of two cubes
37 Algebraic fractions Simplifying algebraic fractions.
Objective: On completion of the lesson the student should be familiar with all of the factorisation methods presented to this point.
38 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
39 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
40 Algebra – Basic Simplifying easy algebraic fractions
Objective: To simplify simple algebraic fractions using cancellation of common factors
41 Algebra – Basic Simplifying algebraic fractions using the Index Laws
Objective: To use the index laws for division to simplify algebraic fractions
42 Algebra – Basic Algebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
43 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
44 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
45 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
46 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
47 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
48 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
49 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
50 Quadratic equations Problem solving with quadratic equations
Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it.
51 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
52 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
53 Geometry-parabola The parabola: to describe properties of a parabola from its equation
Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions.
54 Graphs part 1 Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
55 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
56 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
57 Logarithms-Power of 2 Powers of 2.
Objective: On completion of the lesson the student should be able to convert between logarithmic statements and index statements to the power of 2.
58 Logarithms Equations of type log x to the base 3 = 4
Objective: To find the value of x in a statement of type log x to the base 3 = 4
59 Logarithms Equations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
60 Logarithms Laws of Logarithms
Objective: To review the logarithm laws
61 Logarithms Using the Log Laws to Expand Logarithmic Expressions
Objective: To expand expressions using the logarithm laws
62 Logarithms Using the Log Laws to Simplify Expressions Involving Logarithms
Objective: To simplify expressions using the logarithm laws
63 Logarithms Using the Log Laws to Find the Logarithms of Numbers
Objective: To find the logarithm of a number, with an unknown base, using the logarithm laws
64 Logarithms-Equations and logs Equations involving logarithms.
Objective: On completion of the lesson the student will be able to solve equations with log terms.
65 Logarithms Using Logarithms to Solve Equations
Objective: To use logarithms to solve exponential equations
66 Logarithms Change of Base Formula
Objective: To evaluate log expressions using logarithms
67 Fractional indices/exponents Fractional indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices.
68 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
69 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
70 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
71 Conic sections Introduction to conic sections and their general equation
Objective: On completion of the lesson the student will identify the conic section from the coefficients of the equation.
72 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
73 Conic sections Circles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
74 Conic sections The Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
75 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
76 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
77 Statistic-probability Unordered selections – combinations
Objective: On completion of the lesson the student will be able to use the formula, n c r both with and without a calculator and be able to use it to solve probability problems where unordered selections happen.
78 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
79 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
80 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
81 Series and sequences part 1 General Sequences
Objective: To use the general form of the n’th term of a sequence to find the first 3 terms
82 Sequences and Series Finding Tn given Sn.
Objective: On completion of the lesson the student will understand the concept that the sum of n terms of a series minus the sum of n minus one terms will yield the nth term.
83 Series and sequences part 1 The Arithmetic Progression
Objective: To find the common difference of a given arithmetic progression
84 Arithmetic Progression Finding the position of a term in an A.P.
Objective: On completion of the lesson the student will be able to solve many problems involving finding terms of an Arithmetic Progression.
85 Series and sequences part 1 Given two terms of A.P. find the sequence
Objective: To find the first term and the common difference in an A.P. given the values and positions of two terms
86 Series and sequences part 1 Arithmetic Means
Objective: To find the arithmetic mean of two values
87 Series and sequences part 1 The sum to n terms of an A.P.
Objective: To find the sum of n terms of an arithmetic progression given the first three terms
88 Series and sequences part 1 The Geometric Progression
Objective: To find the common ratio of a given geometric progression
89 Series and sequences part 1 Finding the position of a term in a G.P.
Objective: To find the place of a term in a given geometric progression
90 Series and sequences part 1 Given two terms of G.P. find the sequence
Objective: To find the first term given two terms of a geometric progression
91 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
92 Series and sequences part 2 The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
93 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
94 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
95 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
96 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
97 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
98 Functions Rational functions Part 2
Objective: On completion of the lesson the student will be able to use the degree of polynomials and polynomial division to assist in graphing rational functions on the coordinate number plane showing vertical, horizontal and slant asymptotes.
99 Exam Exam – Grade 8-12 Algebra II
Objective: Exam
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Grade 8-12 Trigonometry Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Trigonometry
Objective: Assessment
2 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
3 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
4 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
5 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
6 Graph sine Graphing the trigonometric ratios – I Sine curve.
Objective: On completion of the lesson the student will recognise and draw the sine curve exploring changes in amplitude and period.
7 Graph cosine Graphing the trigonometric ratios – II Cosine curve.
Objective: On completion of the lesson the student will know how to recognise and draw the cosine curve exploring changes in amplitude and period.
8 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
9 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
10 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
11 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
12 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
13 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
14 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
15 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
16 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
17 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
18 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
19 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
20 Trigonometry part 1 Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
21 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
22 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
23 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
24 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
25 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
26 Trigonometry-ratios Using the trigonometric ratios to find unknown length. [Case 1 Sine].
Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances.
27 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
28 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
29 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
30 Trigonometry-compass Bearings – the compass.
Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north.
31 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
32 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
33 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
34 Trigonometry part 1 Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
35 Trigonometry part 1 The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
36 Trigonometry part 1 The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
37 Trigonometry-sine rule The sine rule to find an unknown side. Case 1.
Objective: On completion of the lesson the student will be able to use the Sine rule to find the length of a particular side when the student is given the sizes of 2 of the angles and one of the sides.
38 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
39 Trigonometry part 1 The Sine Area Formula for a Triangle
Objective: To use the sine formula for the area of a triangle to calculate area
40 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
41 Polar coordinates Converting rectangular coordinates to polar form
Objective: On completion of the lesson the student will understand the polar coordinate system and report these from rectangular coordinates.
42 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
43 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
44 Logarithms-Complex numbers Complex numbers – multiplication and division
Objective: On completion of the lesson the student will use the a+bi form of complex numbers for multiplication and division.
45 Complex numbers Adding and Subtracting Complex Numbers using Vectors
Objective: To perform complex number operations graphically using vectors
46 Complex numbers The Absolute Value of a Complex Number
Objective: To find the absolute value of a complex number
47 Complex numbers Trigonometric Form of a Complex Number
Objective: To find the trigonometric form of a complex number
48 Complex numbers Multiplication and Division of Complex Numbers in Trigonometric Form
Objective: To multiply and divide complex numbers using DeMoivre’s Theorem
49 Complex numbers DeMoivre’s theorem
Objective: To find powers of complex numbers using DeMoivre’s theorem
50 Exam Exam – Grade 8-12 Trigonometry
Objective: Exam
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Grade 8-12 Mathematical Analysis Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Mathematical Analysis
Objective: Assessment
2 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
3 Polar coordinates Converting rectangular coordinates to polar form
Objective: On completion of the lesson the student will understand the polar coordinate system and report these from rectangular coordinates.
4 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
5 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
6 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
7 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
8 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
9 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
10 Logic Mathematical induction
Objective: To use proof by mathematical induction
11 Logarithms-Complex numbers Fundamental theorem of algebra (Stage 2)
Objective: On completion of the lesson the student will recognise and use the fundamental theorem of algebra to find factors for polynomials with real coefficients over the complex number field.
12 Conic sections Introduction to conic sections and their general equation
Objective: On completion of the lesson the student will identify the conic section from the coefficients of the equation.
13 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
14 Conic sections Circles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
15 Conic sections The Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
16 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
17 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
18 Functions Rational functions Part 2
Objective: On completion of the lesson the student will be able to use the degree of polynomials and polynomial division to assist in graphing rational functions on the coordinate number plane showing vertical, horizontal and slant asymptotes.
19 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
20 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
21 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
22 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
23 Series and sequences part 2 Recurring Decimals and the Infinite G.P.
Objective: To express recurring decimals as a G.P. and to express the limiting sum as a fraction
24 Calculus part 1 Limits
Objective: To find the limit value of a function as x approaches n
25 Exam Exam – Grade 8-12 Mathematical Analysis
Objective: Exam
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Grade 8-12 Linear Algebra Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Linear Algebra
Objective: Assessment
2 Matrices – Linear systems Linear Systems with Matrices
Objective: To identify and describe matrices and perform row operations in matrices
3 Matrices – Linear systems Row Echelon Form
Objective: To identify and create matrices in row echelon form and to solve systems of equations
4 Linear systems Gauss Jordan elimination method (Stage 2)
Objective: On completion of the lesson the student will process matrices formed from linear systems of equations using the Gauss Jordan elimination method.
5 Matrices Basic concepts – Matrices
Objective: On completion of the lesson the student will have had an introduction to matrices
6 Matrices Addition and Subtraction of Matrices
Objective: To add and subtract matrices
7 Matrices Scalar matrix: multiplication
Objective: To multiply a matrix by a scalar
8 Matrices Multiplication of one matrix by another matrix
Objective: To perform matrix multiplication and to recognise that AB is not equal to BA
9 Matrices Translation in the number plane
Objective: To use matrix addition to translate points
10 Matrices Translation by matrix multiplication
Objective: To transform points and objects by matrix multiplication
11 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
12 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
13 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
14 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
15 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
16 Exam Exam – Grade 8-12 Linear Algebra
Objective: Exam
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Grade 8-12 Probability and Statistics Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Probability and Statistics
Objective: Assessment
2 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
3 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
4 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
5 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
6 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
7 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
8 Probability P[A or B] When A and B are NOT mutually exclusive
Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B)
9 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
10 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
11 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
12 Statistic-probability Unordered selections – combinations
Objective: On completion of the lesson the student will be able to use the formula, n c r both with and without a calculator and be able to use it to solve probability problems where unordered selections happen.
13 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
14 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
15 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
16 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
17 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
18 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
19 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
20 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
21 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
22 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
23 Data Bar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
24 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
25 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
26 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
27 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
28 Statistics Relative frequency
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.
29 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
30 Statistic-probability Calculating the median from a frequency distribution
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.
31 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
32 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
33 Exam Exam – Grade 8-12 Probability and Statistics
Objective: Exam
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Grade 8-12 Probability and Statistics (Adv) Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Probability and Statistics (Adv)
Objective: Assessment
2 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
3 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
4 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
5 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
6 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
7 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
8 Probability P[A or B] When A and B are NOT mutually exclusive
Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B)
9 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
10 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
11 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
12 Statistic-probability Unordered selections – combinations
Objective: On completion of the lesson the student will be able to use the formula, n c r both with and without a calculator and be able to use it to solve probability problems where unordered selections happen.
13 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
14 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
15 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
16 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
17 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
18 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
19 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
20 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
21 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
22 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
23 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
24 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
25 Data Bar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
26 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
27 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
28 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
29 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
30 Statistics Relative frequency
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.
31 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
32 Statistic-probability Calculating the median from a frequency distribution
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.
33 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
34 Exam Exam – Grade 8-12 Probability and Statistics (Adv)
Objective: Exam
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Grade 8-12 Calculus Mathematics

# TOPIC TITLE
1 Self Assessment Self Assessment – Grade 8-12 Calculus
Objective: Assessment
2 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
3 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
4 Polynomials Polynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
5 Calculus part 1 Limits
Objective: To find the limit value of a function as x approaches n
6 Polynomials Graphs of polynomials
Objective: To derive graphs of polynomials by factorising
7 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
8 Function Function Notation
Objective: To write and evaluate functions using function notation
9 Functions More on domain and range
Objective: On completion of the lesson the student will be able to describe the domain and range using appropriate set notation.
10 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
11 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
12 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
13 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
14 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
15 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
16 Functions Rational functions Part 2
Objective: On completion of the lesson the student will be able to use the degree of polynomials and polynomial division to assist in graphing rational functions on the coordinate number plane showing vertical, horizontal and slant asymptotes.
17 Calculus=1st prin Differentiation from first principles.
Objective: On completion of the lesson the student will be able apply the first principles (calculus) formula to find the gradient of a tangent at any point on a continuous curve.
18 Calculus part 1 Differentiation of y = x to the power of n
Objective: To differentiate algebraic functions using the laws of differentiation
19 Calculus part 1 Meaning of dy over dx – Equations of Tangents and Normals
Objective: To find and use the slope of tangents and normals
20 Calculus part 1 Function of a Function Rule, Product Rule, Quotient Rule.
Objective: To differentiate functions using the product, quotient and chain rules.
21 Calculus part 1 Increasing, Decreasing and Stationary Functions.
Objective: To determine values of x for which f(x) is increasing, decreasing or stationary.
22 Calculus First Derivative – turning points and curve sketching
Objective: On completion of the Calculus lesson the student will be able to use the first derivative to find and identify the nature of stationary points on a curve.
23 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
24 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
25 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
26 Calculus part 1 Classification of Stationary Points.
Objective: To Locate and describe stationary points and points of inflection using differention.
27 Calculus part 2 Curve Sketching.
Objective: To practice curve sketching of polynomials using calculus techniques.
28 Calculus part 2 Practical Applications of Maxima and Minima.
Objective: To use maxima and minima to solve practical problems.
29 Polynomials Methods of Approximating Roots.
Objective: Methods of approximating roots.
30 Polynomials Newton’s Method of Approximation.
Objective: Newton’s method of approximation.
31 Calculus part 2 Antidifferentiation – Primitive Function.
Objective: To find primitive functions using antidifferentiation.
32 Calculus part 2 Computation of Areas.
Objective: To calculate areas under curves using integration.
33 Calculus part 2 The Trapezoidal rule and Simpson’s rule
Objective: To use Simpson’s rule to determine area under a curve.
34 Calculus part 2 Computation of Volumes of Revolution.
Objective: To calculate the volume of a solid using integration.
35 Exam Exam – Grade 8-12 Calculus
Objective: Exam
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HSEE - Stats-Data-Probability Mathematics

# TOPIC TITLE
1 Study Plan Study plan – HSEE – Stats-Data-Probability
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
3 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
4 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
5 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
6 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
7 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
8 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
9 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
10 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
11 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
12 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
13 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
14 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
15 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
16 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
17 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
18 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
19 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
20 Exam Exam – HSEE – Stats-Data-Probability
Objective: Exam
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HSEE - Number Sense Mathematics

# TOPIC TITLE
1 Study Plan Study plan – HSEE – Number Sense
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
3 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
4 Fractions Mixed numerals
Objective: To name and recognise mixed numerals
5 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
6 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
7 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
8 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
9 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
10 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
11 Fractions Subtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
12 Fractions Adding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
13 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
14 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
15 Fractions Comparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
16 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
17 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
18 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
19 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
20 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
21 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
22 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
23 Decimals Multiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
24 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
25 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
26 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
27 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
28 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
29 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
30 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
31 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
32 Fractions Dividing fractions
Objective: To divide fractions by other fractions
33 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
34 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
35 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
36 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
37 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
38 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
39 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
40 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
41 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
42 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
43 Standard/Scientific notation Scientific notation with larger numbers
Objective: To write large numbers in standard or scientific notation
44 Standard/Scientific notation Scientific notation with small numbers
Objective: To write small numbers in standard or scientific notation
45 Standard/Scientific notation Changing scientific notation to numerals
Objective: To interpret scientific notation by writing in base 10 numerals
46 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
47 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
48 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
49 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
50 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
51 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
52 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
53 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
54 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
55 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
56 Exam Exam – HSEE – Number Sense
Objective: Exam
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HSEE - Algebra and Functions Mathematics

# TOPIC TITLE
1 Study Plan Study plan – HSEE – Algebra and Functions
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
3 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
4 Algebra – Basic Inequalities
Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign
5 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
6 Algebra – Basic Simplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
7 Algebra – Basic Simplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
8 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
9 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
10 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
11 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
12 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
13 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
14 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
15 Time 24-hour time
Objective: To tell the time accurately using 24-hour time and change the time from am and pm time to 24-hour time
16 Time Time Zones
Objective: To recognise and compare different time zones within Australia
17 Time Average speed
Objective: To understand what is meant by the speed and average speed of an object and read the instantaneous speed of a vehicle on a speedometer
18 Graphs part 1 The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
19 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
20 Exam Exam – HSEE – Algebra and Functions
Objective: Exam
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HSEE - Measurement and Geometry Mathematics

# TOPIC TITLE
1 Study Plan Study plan – HSEE – Measurement and Geometry
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
3 Measurement – Length Using the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
4 Measurement – Length Read and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
5 Measurement – Length Compare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
6 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
7 Measurement – Area Larger Areas: Square Metre, Hectare, Square Kilometre
Objective: To calculate areas in square centimetres, square metres, square kilometres and hectares and convert one to another
8 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
9 Measurement – Volume Using the Cubic Metre to Measure Volume
Objective: To calculate the volume of rectangular prisms in cubic metres
10 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
11 Measurement – Capacity Using the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
12 Measurement – Capacity The relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
13 Measurement – Capacity Converting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
14 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
15 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
16 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
17 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
18 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
19 Measurement – Mass The Tonne
Objective: To convert kg to tonnes and solve problems involving heavy masses
20 Time Average speed
Objective: To understand what is meant by the speed and average speed of an object and read the instantaneous speed of a vehicle on a speedometer
21 Measurement – Area Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
22 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
23 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
24 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
25 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
26 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
27 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
28 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
29 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
30 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
31 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
32 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
33 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
34 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
35 Surface area Surface Area of Composite Solids
Objective: To calculate the surface area of composite solids
36 Surface area Surface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
37 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
38 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
39 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
40 Pythagoras Calculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
41 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
42 Pythagoras Proofs of Pythagoras’ Theorem
Objective: To examine and complete proofs of Pythagoras’ Theorem
43 Geometry part 2 Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
44 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
45 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
46 Geometry transformations Geometry Transformations without Matrices: Translation
Objective: To find the image of a point or object after a translation
47 Co-ordinate geometry part 2 Transformations: Reflections
Objective: To identify reflections and to use isometric properties of reflections
48 Geometry transformations Geometry Transformations without Matrices: Rotation
Objective: To determine rotation angle and to perform prescribed rotations
49 Exam Exam – HSEE – Measurement and Geometry
Objective: Exam
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HSEE - Mathematical Reasoning Mathematics

# TOPIC TITLE
1 Study Plan Study plan – HSEE – Mathematical Reasoning
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
3 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
4 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
5 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
6 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
7 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
8 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
9 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
10 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
11 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
12 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
13 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
14 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
15 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
16 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
17 Measurement – Mass The Tonne
Objective: To convert kg to tonnes and solve problems involving heavy masses
18 Exam Exam – HSEE – Mathematical Reasoning
Objective: Exam
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HSEE - Algebra 1 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – HSEE – Algebra 1
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
3 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
4 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
5 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
6 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
7 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
8 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
9 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
10 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
11 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
12 Indices/Exponents Fractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
13 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
14 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
15 Absolute value Solving Absolute Value Equations
Objective: To solve equations involving absolute values
16 Absolute value Solving and Graphing Inequalities
Objective: To graph the solution set of absolute value inequalities
17 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
18 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
19 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
20 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
21 Algebra – Basic Solving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
22 Algebra – Basic Equations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
23 Algebra – Basic Equations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
24 Algebra – Basic Inequalities
Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign
25 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
26 Co-ordinate geometry part 1 The Straight Line
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b
27 Co-ordinate geometry part 1 Slope Intercept Form of a Line
Objective: To change equation to slope intercept form and graph it and to find equation given graph
28 Co-ordinate geometry part 2 Inequalities on the Number Plane
Objective: To identify the graph which matches a given inequality
29 Co-ordinate geometry part 2 Parallel Lines: identify equation of a line parallel to another
Objective: To change the standard form of a straight line equation to the y = mx + b form
30 Co-ordinate geometry part 2 Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
31 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
32 Simultaneous equations Simultaneous Equations
Objective: To solve simultaneous equations by substitution
33 Simultaneous equations Elimination method
Objective: To solve simultaneous equations by elimination
34 Simultaneous equations Elimination method part 2
Objective: To solve more difficult simultaneous equations by elimination
35 Simultaneous equations Applications of simultaneous equations
Objective: To solve problems using simultaneous equations
36 Algebra – Products and factors Binomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
37 Algebra – Products and factors Binomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
38 Algebra – Products and factors Binomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
39 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
40 Algebra – Products and factors Squaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
41 Algebra – Products and factors Expansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
42 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
43 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
44 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
45 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
46 Algebra – Products and factors Common factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares.
47 Exam Exam – HSEE – Algebra 1
Objective: Exam
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HSEE - complete Mathematics

# TOPIC TITLE
1 Study Plan Study plan – HSEE – complete
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
3 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
4 Fractions Mixed numerals
Objective: To name and recognise mixed numerals
5 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
6 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
7 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
8 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
9 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
10 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
11 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
12 Measurement – Length Using the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
13 Measurement – Length Read and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
14 Measurement – Length Compare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
15 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
16 Measurement – Area Larger Areas: Square Metre, Hectare, Square Kilometre
Objective: To calculate areas in square centimetres, square metres, square kilometres and hectares and convert one to another
17 Fractions Subtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
18 Fractions Adding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
19 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
20 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
21 Fractions Comparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
22 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
23 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
24 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
25 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
26 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
27 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
28 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
29 Decimals Multiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
30 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
31 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
32 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
33 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
34 Measurement – Volume Using the Cubic Metre to Measure Volume
Objective: To calculate the volume of rectangular prisms in cubic metres
35 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
36 Measurement – Capacity Using the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
37 Measurement – Capacity The relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
38 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
39 Measurement – Capacity Converting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
40 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
41 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
42 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
43 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
44 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
45 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
46 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
47 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
48 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
49 Measurement – Mass The Tonne
Objective: To convert kg to tonnes and solve problems involving heavy masses
50 Time Average speed
Objective: To understand what is meant by the speed and average speed of an object and read the instantaneous speed of a vehicle on a speedometer
51 Time Time Zones
Objective: To recognise and compare different time zones within Australia
52 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
53 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
54 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
55 Fractions Dividing fractions
Objective: To divide fractions by other fractions
56 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
57 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
58 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
59 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
60 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
61 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
62 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
63 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
64 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
65 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
66 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
67 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
68 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
69 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
70 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
71 Algebra – Basic Simplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
72 Algebra – Basic Simplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
73 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
74 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
75 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
76 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
77 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
78 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
79 Measurement – Area Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
80 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
81 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
82 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
83 Standard/Scientific notation Scientific notation with larger numbers
Objective: To write large numbers in standard or scientific notation
84 Standard/Scientific notation Scientific notation with small numbers
Objective: To write small numbers in standard or scientific notation
85 Standard/Scientific notation Changing scientific notation to numerals
Objective: To interpret scientific notation by writing in base 10 numerals
86 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
87 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
88 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
89 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
90 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
91 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
92 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
93 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
94 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
95 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
96 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
97 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
98 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
99 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
100 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
101 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
102 Algebra – Basic Solving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
103 Algebra – Basic Equations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
104 Algebra – Basic Equations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
105 Algebra – Basic Inequalities
Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign
106 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
107 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
108 Pythagoras Calculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
109 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
110 Pythagoras Proofs of Pythagoras’ Theorem
Objective: To examine and complete proofs of Pythagoras’ Theorem
111 Geometry part 2 Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
112 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
113 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
114 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
115 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
116 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
117 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
118 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
119 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
120 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
121 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
122 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
123 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
124 Surface area Surface Area of Composite Solids
Objective: To calculate the surface area of composite solids
125 Surface area Surface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
126 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
127 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
128 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
129 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
130 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
131 Co-ordinate geometry part 1 The Straight Line
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b
132 Co-ordinate geometry part 1 Slope Intercept Form of a Line
Objective: To change equation to slope intercept form and graph it and to find equation given graph
133 Co-ordinate geometry part 2 Inequalities on the Number Plane
Objective: To identify the graph which matches a given inequality
134 Co-ordinate geometry part 2 Parallel Lines: identify equation of a line parallel to another
Objective: To change the standard form of a straight line equation to the y = mx + b form
135 Co-ordinate geometry part 2 Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
136 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
137 Absolute value Solving Absolute Value Equations
Objective: To solve equations involving absolute values
138 Absolute value Solving and Graphing Inequalities
Objective: To graph the solution set of absolute value inequalities
139 Geometry transformations Geometry Transformations without Matrices: Translation
Objective: To find the image of a point or object after a translation
140 Co-ordinate geometry part 2 Transformations: Reflections
Objective: To identify reflections and to use isometric properties of reflections
141 Geometry transformations Geometry Transformations without Matrices: Rotation
Objective: To determine rotation angle and to perform prescribed rotations
142 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
143 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
144 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
145 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
146 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
147 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
148 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
149 Simultaneous equations Simultaneous Equations
Objective: To solve simultaneous equations by substitution
150 Simultaneous equations Elimination method
Objective: To solve simultaneous equations by elimination
151 Simultaneous equations Elimination method part 2
Objective: To solve more difficult simultaneous equations by elimination
152 Simultaneous equations Applications of simultaneous equations
Objective: To solve problems using simultaneous equations
153 Algebra – Products and factors Binomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
154 Algebra – Products and factors Binomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
155 Algebra – Products and factors Binomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
156 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
157 Algebra – Products and factors Squaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
158 Algebra – Products and factors Expansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
159 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
160 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
161 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
162 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
163 Algebra – Products and factors Quadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
164 Graphs part 1 The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
165 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
166 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
167 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
168 Logic Mathematical induction
Objective: To use proof by mathematical induction
169 Exam Exam – HSEE – complete
Objective: Exam
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SAT Trigonometry Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT Trigonometry
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
3 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
4 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
5 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
6 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
7 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
8 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
9 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
10 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
11 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
12 Trigonometry part 1 Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
13 Trigonometry part 1 Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
14 Trigonometry part 1 The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
15 Trigonometry part 1 The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
16 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
17 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
18 Trigonometry part 1 The Sine Area Formula for a Triangle
Objective: To use the sine formula for the area of a triangle to calculate area
19 Co-ordinate geometry part 1 The Distance Formula
Objective: To use the distance formula to calculate the lengths of lines and distances
20 Co-ordinate geometry part 1 The Mid-Point Formula
Objective: To determine the mid-point of an interval using the mid-point formula
21 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
22 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
23 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
24 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
25 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
26 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
27 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
28 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
29 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
30 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
31 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
32 Trigonometry part 2 Using One Trig. Ratio to Find Another
Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier.
33 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
34 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
35 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
36 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
37 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
38 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
39 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
40 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
41 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
42 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
43 Exam Exam – SAT Trigonometry
Objective: Exam
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SAT Linear Algebra Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT Linear Algebra
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Matrices Matrices: basic concepts
Objective: To write and state the order of a matrix and to identify square matrices
3 Matrices Addition and Subtraction of Matrices
Objective: To add and subtract matrices
4 Matrices Scalar matrix: multiplication
Objective: To multiply a matrix by a scalar
5 Matrices Multiplication of one matrix by another matrix
Objective: To perform matrix multiplication and to recognise that AB is not equal to BA
6 Matrices Translation in the number plane
Objective: To use matrix addition to translate points
7 Matrices Translation by matrix multiplication
Objective: To transform points and objects by matrix multiplication
8 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
9 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
10 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
11 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
12 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
13 Matrices – Linear systems Linear Systems with Matrices
Objective: To identify and describe matrices and perform row operations in matrices
14 Matrices – Linear systems Row Echelon Form
Objective: To identify and create matrices in row echelon form and to solve systems of equations
15 Matrices – Linear systems Gauss Jordan Elimination
Objective: To use the Gauss Jordan Elimination Method to solve systems of linear equations
16 Exam Exam – SAT Linear Algebra
Objective: Exam
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SAT Analysis Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT Analysis
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
3 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
4 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
5 Logic Mathematical induction
Objective: To use proof by mathematical induction
6 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
7 Graphs part 2 General equation of a circle: determine and graph the equation
Objective: To determine and graph the equation of a circle with radius a and centre (h,k)
8 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
9 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
10 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
11 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
12 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
13 Conic sections Introduction to Conic Sections and Their General Equation
Objective: To identify the conic from its equation by examining the coefficients of x^2 and y^2
14 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
15 Conic sections Circles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
16 Conic sections The Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
17 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
18 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
19 Function Function Notation
Objective: To write and evaluate functions using function notation
20 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
21 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
22 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
23 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
24 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
25 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
26 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
27 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
28 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
29 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
30 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
31 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
32 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
33 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
34 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
35 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
36 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
37 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
38 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
39 Complex numbers Complex Numbers: Multiplying and Dividing
Objective: To perform multiplication and division of complex numbers
40 Complex numbers Adding and Subtracting Complex Numbers using Vectors
Objective: To perform complex number operations graphically using vectors
41 Complex numbers The Absolute Value of a Complex Number
Objective: To find the absolute value of a complex number
42 Complex numbers Trigonometric Form of a Complex Number
Objective: To find the trigonometric form of a complex number
43 Complex numbers Multiplication and Division of Complex Numbers in Trigonometric Form
Objective: To multiply and divide complex numbers using DeMoivre’s Theorem
44 Complex numbers DeMoivre’s theorem
Objective: To find powers of complex numbers using DeMoivre’s theorem
45 Complex numbers The nth Root of Real and Complex Numbers
Objective: To find the roots of a complex function using DeMoivre’s theorem
46 Complex numbers Fundamental Theorem of Algebra
Objective: To find the nth zeros of a polynomial function both real and complex
47 Calculus part 1 Limits
Objective: To find the limit value of a function as x approaches n
48 Calculus part 1 Differentiation from First Principles
Objective: To differentiate functions from first principles
49 Calculus part 1 Differentiation of y = x to the power of n
Objective: To differentiate algebraic functions using the laws of differentiation
50 Calculus part 1 Meaning of dy over dx – Equations of Tangents and Normals
Objective: To find and use the slope of tangents and normals
51 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
52 Series and sequences part 2 The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
53 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
54 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
55 Exam Exam – SAT Analysis
Objective: Exam
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SAT Advanced Probability - Statistics Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT Advanced Probability
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
3 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
4 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
5 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
6 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
7 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
8 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
9 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
10 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
11 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
12 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
13 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
14 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
15 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
16 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
17 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
18 Probability P[A or B] When A and B are NOT mutually exclusive
Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B)
19 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
20 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
21 Probability Unordered selections – combinations
Objective: To use the nCr formula to solve problems where unordered selections occur
22 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
23 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
24 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
25 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
26 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
27 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
28 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
29 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
30 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
31 Exam Exam – SAT Advanced Probability
Objective: Exam
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SAT Extension Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT Extension
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
3 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
4 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
5 Logic Mathematical induction
Objective: To use proof by mathematical induction
6 Logic Conditional statements (converse, inverse and contrapositive) (Stage 2)
Objective: On completion of the lesson the student will be able to form related conditional statements.
7 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
8 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
9 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
10 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
11 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
12 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
13 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
14 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
15 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
16 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
17 Trigonometry part 1 Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
18 Trigonometry part 1 Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
19 Trigonometry part 1 The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
20 Trigonometry part 1 The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
21 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
22 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
23 Trigonometry part 1 The Sine Area Formula for a Triangle
Objective: To use the sine formula for the area of a triangle to calculate area
24 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
25 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
26 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
27 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
28 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
29 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
30 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
31 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
32 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
33 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
34 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
35 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
36 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
37 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
38 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
39 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
40 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
41 Probability P[A or B] When A and B are NOT mutually exclusive
Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B)
42 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
43 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
44 Probability Unordered selections – combinations
Objective: To use the nCr formula to solve problems where unordered selections occur
45 Matrices Matrices: basic concepts
Objective: To write and state the order of a matrix and to identify square matrices
46 Matrices Addition and Subtraction of Matrices
Objective: To add and subtract matrices
47 Matrices Scalar matrix: multiplication
Objective: To multiply a matrix by a scalar
48 Matrices Multiplication of one matrix by another matrix
Objective: To perform matrix multiplication and to recognise that AB is not equal to BA
49 Matrices Translation in the number plane
Objective: To use matrix addition to translate points
50 Matrices Translation by matrix multiplication
Objective: To transform points and objects by matrix multiplication
51 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
52 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
53 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
54 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
55 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
56 Matrices – Linear systems Linear Systems with Matrices
Objective: To identify and describe matrices and perform row operations in matrices
57 Matrices – Linear systems Row Echelon Form
Objective: To identify and create matrices in row echelon form and to solve systems of equations
58 Matrices – Linear systems Gauss Jordan Elimination
Objective: To use the Gauss Jordan Elimination Method to solve systems of linear equations
59 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
60 Graphs part 2 General equation of a circle: determine and graph the equation
Objective: To determine and graph the equation of a circle with radius a and centre (h,k)
61 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
62 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
63 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
64 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
65 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
66 Conic sections Introduction to Conic Sections and Their General Equation
Objective: To identify the conic from its equation by examining the coefficients of x^2 and y^2
67 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
68 Conic sections Circles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
69 Conic sections The Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
70 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
71 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
72 Function Function Notation
Objective: To write and evaluate functions using function notation
73 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
74 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
75 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
76 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
77 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
78 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
79 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
80 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
81 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
82 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
83 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
84 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
85 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
86 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
87 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
88 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
89 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
90 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
91 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
92 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
93 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
94 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
95 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
96 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
97 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
98 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
99 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
100 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
101 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
102 Trigonometry part 2 Using One Trig. Ratio to Find Another
Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier.
103 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
104 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
105 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
106 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
107 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
108 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
109 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
110 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
111 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
112 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
113 Logarithms The Graph of the Logarithmic Curve
Objective: To solve problems involving logarithmic curves
114 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
115 Complex numbers Complex Numbers: Multiplying and Dividing
Objective: To perform multiplication and division of complex numbers
116 Complex numbers Adding and Subtracting Complex Numbers using Vectors
Objective: To perform complex number operations graphically using vectors
117 Complex numbers The Absolute Value of a Complex Number
Objective: To find the absolute value of a complex number
118 Complex numbers Trigonometric Form of a Complex Number
Objective: To find the trigonometric form of a complex number
119 Complex numbers Multiplication and Division of Complex Numbers in Trigonometric Form
Objective: To multiply and divide complex numbers using DeMoivre’s Theorem
120 Complex numbers DeMoivre’s theorem
Objective: To find powers of complex numbers using DeMoivre’s theorem
121 Complex numbers The nth Root of Real and Complex Numbers
Objective: To find the roots of a complex function using DeMoivre’s theorem
122 Complex numbers Fundamental Theorem of Algebra
Objective: To find the nth zeros of a polynomial function both real and complex
123 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
124 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
125 Polynomials Polynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
126 Polynomials The Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
127 Polynomials More on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
128 Polynomials The factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
129 Polynomials More on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
130 Polynomials Complete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
131 Polynomials Polynomial equations
Objective: To practise solving polynomial equations
132 Polynomials Graphs of polynomials
Objective: To derive graphs of polynomials by factorising
133 Polynomials The Sum and Product of the Roots of Quadratic Equations.
Objective: Sum and product of roots of quadratic equations.
134 Polynomials The Sum and Product of the Roots of Cubic and Quartic Equations.
Objective: Sum and product of toots of cubic and quartic equations.
135 Polynomials Methods of Approximating Roots.
Objective: Methods of approximating roots.
136 Polynomials Newton’s Method of Approximation.
Objective: Newton’s method of approximation.
137 Calculus part 1 Limits
Objective: To find the limit value of a function as x approaches n
138 Calculus part 1 Differentiation from First Principles
Objective: To differentiate functions from first principles
139 Calculus part 1 Differentiation of y = x to the power of n
Objective: To differentiate algebraic functions using the laws of differentiation
140 Calculus part 1 Meaning of dy over dx – Equations of Tangents and Normals
Objective: To find and use the slope of tangents and normals
141 Calculus part 1 Function of a Function Rule, Product Rule, Quotient Rule.
Objective: To differentiate functions using the product, quotient and chain rules.
142 Calculus part 1 Increasing, Decreasing and Stationary Functions.
Objective: To determine values of x for which f(x) is increasing, decreasing or stationary.
143 Calculus part 1 The Second Derivative – Concavity.
Objective: To determine concavity of a curve at a point using the second derivative.
144 Calculus part 1 Classification of Stationary Points.
Objective: To Locate and describe stationary points and points of inflection using differention.
145 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
146 Series and sequences part 2 The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
147 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
148 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
149 Series and sequences part 2 Recurring Decimals and the Infinite G.P.
Objective: To express recurring decimals as a G.P. and to express the limiting sum as a fraction
150 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
151 Series and sequences part 2 Superannuation
Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time
152 Series and sequences part 2 Time Payments
Objective: To calculate the payments required to pay off a loan
153 Calculus part 2 Curve Sketching.
Objective: To practice curve sketching of polynomials using calculus techniques.
154 Calculus part 2 Practical Applications of Maxima and Minima.
Objective: To use maxima and minima to solve practical problems.
155 Calculus part 2 Antidifferentiation – Primitive Function.
Objective: To find primitive functions using antidifferentiation.
156 Calculus part 2 Computation of Areas.
Objective: To calculate areas under curves using integration.
157 Calculus part 2 Computation of Volumes of Revolution.
Objective: To calculate the volume of a solid using integration.
158 Calculus part 2 The Trapezoidal rule and Simpson’s rule
Objective: To use Simpson’s rule to determine area under a curve.
159 Exam Exam – SAT Extension
Objective: Exam
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SAT All Lessons Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT All Lessons
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
3 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
4 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
5 Logic Mathematical induction
Objective: To use proof by mathematical induction
6 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
7 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
8 Trigonometry part 1 Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
9 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
10 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
11 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
12 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
13 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
14 Trigonometry part 1 Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
15 Trigonometry part 1 Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
16 Trigonometry part 1 The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
17 Trigonometry part 1 The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
18 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
19 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
20 Trigonometry part 1 The Sine Area Formula for a Triangle
Objective: To use the sine formula for the area of a triangle to calculate area
21 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
22 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
23 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
24 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
25 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
26 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
27 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
28 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
29 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
30 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
31 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
32 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
33 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
34 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
35 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
36 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
37 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
38 Probability P[A or B] When A and B are NOT mutually exclusive
Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B)
39 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
40 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
41 Probability Unordered selections – combinations
Objective: To use the nCr formula to solve problems where unordered selections occur
42 Matrices Matrices: basic concepts
Objective: To write and state the order of a matrix and to identify square matrices
43 Matrices Addition and Subtraction of Matrices
Objective: To add and subtract matrices
44 Matrices Scalar matrix: multiplication
Objective: To multiply a matrix by a scalar
45 Matrices Multiplication of one matrix by another matrix
Objective: To perform matrix multiplication and to recognise that AB is not equal to BA
46 Matrices Translation in the number plane
Objective: To use matrix addition to translate points
47 Matrices Translation by matrix multiplication
Objective: To transform points and objects by matrix multiplication
48 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
49 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
50 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
51 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
52 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
53 Matrices – Linear systems Linear Systems with Matrices
Objective: To identify and describe matrices and perform row operations in matrices
54 Matrices – Linear systems Row Echelon Form
Objective: To identify and create matrices in row echelon form and to solve systems of equations
55 Matrices – Linear systems Gauss Jordan Elimination
Objective: To use the Gauss Jordan Elimination Method to solve systems of linear equations
56 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
57 Graphs part 2 General equation of a circle: determine and graph the equation
Objective: To determine and graph the equation of a circle with radius a and centre (h,k)
58 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
59 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
60 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
61 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
62 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
63 Conic sections Introduction to Conic Sections and Their General Equation
Objective: To identify the conic from its equation by examining the coefficients of x^2 and y^2
64 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
65 Conic sections Circles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
66 Conic sections The Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
67 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
68 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
69 Function Function Notation
Objective: To write and evaluate functions using function notation
70 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
71 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
72 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
73 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
74 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
75 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
76 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
77 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
78 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
79 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
80 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
81 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
82 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
83 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
84 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
85 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
86 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
87 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
88 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
89 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
90 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
91 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
92 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
93 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
94 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
95 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
96 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
97 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
98 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
99 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
100 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
101 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
102 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
103 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
104 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
105 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
106 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
107 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
108 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
109 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
110 Complex numbers Complex Numbers: Multiplying and Dividing
Objective: To perform multiplication and division of complex numbers
111 Complex numbers Adding and Subtracting Complex Numbers using Vectors
Objective: To perform complex number operations graphically using vectors
112 Complex numbers The Absolute Value of a Complex Number
Objective: To find the absolute value of a complex number
113 Complex numbers Trigonometric Form of a Complex Number
Objective: To find the trigonometric form of a complex number
114 Complex numbers Multiplication and Division of Complex Numbers in Trigonometric Form
Objective: To multiply and divide complex numbers using DeMoivre’s Theorem
115 Complex numbers DeMoivre’s theorem
Objective: To find powers of complex numbers using DeMoivre’s theorem
116 Complex numbers The nth Root of Real and Complex Numbers
Objective: To find the roots of a complex function using DeMoivre’s theorem
117 Complex numbers Fundamental Theorem of Algebra
Objective: To find the nth zeros of a polynomial function both real and complex
118 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
119 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
120 Polynomials Polynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
121 Polynomials The Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
122 Polynomials More on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
123 Polynomials The factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
124 Polynomials More on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
125 Polynomials Complete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
126 Polynomials Polynomial equations
Objective: To practise solving polynomial equations
127 Polynomials Graphs of polynomials
Objective: To derive graphs of polynomials by factorising
128 Polynomials The Sum and Product of the Roots of Quadratic Equations.
Objective: Sum and product of roots of quadratic equations.
129 Polynomials The Sum and Product of the Roots of Cubic and Quartic Equations.
Objective: Sum and product of toots of cubic and quartic equations.
130 Polynomials Methods of Approximating Roots.
Objective: Methods of approximating roots.
131 Polynomials Newton’s Method of Approximation.
Objective: Newton’s method of approximation.
132 Calculus part 1 Limits
Objective: To find the limit value of a function as x approaches n
133 Calculus part 1 Differentiation from First Principles
Objective: To differentiate functions from first principles
134 Calculus part 1 Differentiation of y = x to the power of n
Objective: To differentiate algebraic functions using the laws of differentiation
135 Calculus part 1 Meaning of dy over dx – Equations of Tangents and Normals
Objective: To find and use the slope of tangents and normals
136 Calculus part 1 Function of a Function Rule, Product Rule, Quotient Rule.
Objective: To differentiate functions using the product, quotient and chain rules.
137 Calculus part 1 Increasing, Decreasing and Stationary Functions.
Objective: To determine values of x for which f(x) is increasing, decreasing or stationary.
138 Calculus part 1 The Second Derivative – Concavity.
Objective: To determine concavity of a curve at a point using the second derivative.
139 Calculus part 1 Classification of Stationary Points.
Objective: To Locate and describe stationary points and points of inflection using differention.
140 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
141 Series and sequences part 2 The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
142 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
143 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
144 Series and sequences part 2 Recurring Decimals and the Infinite G.P.
Objective: To express recurring decimals as a G.P. and to express the limiting sum as a fraction
145 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
146 Series and sequences part 2 Superannuation
Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time
147 Series and sequences part 2 Time Payments
Objective: To calculate the payments required to pay off a loan
148 Calculus part 2 Curve Sketching.
Objective: To practice curve sketching of polynomials using calculus techniques.
149 Calculus part 2 Practical Applications of Maxima and Minima.
Objective: To use maxima and minima to solve practical problems.
150 Calculus part 2 Antidifferentiation – Primitive Function.
Objective: To find primitive functions using antidifferentiation.
151 Calculus part 2 Computation of Areas.
Objective: To calculate areas under curves using integration.
152 Calculus part 2 Computation of Volumes of Revolution.
Objective: To calculate the volume of a solid using integration.
153 Calculus part 2 The Trapezoidal rule and Simpson’s rule
Objective: To use Simpson’s rule to determine area under a curve.
154 Exam Exam – SAT All Lessons
Objective: Exam
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Literacy

Kindergarten/Year 1 Literacy

# TOPIC TITLE
1 Do you like hamburgers? It’s the alphabet!
Objective: Students will develop their listening skills and practise saying the alphabet.
2 It’s time to learn your A B C! The Alphabet! Full lesson available
Objective: Students will practise reading the letters of the alphabet and practise recognition of: a, b, c, d, e, f.
3 Hello! How are you? Hello! I’m Lulu.
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story in which they will meet some new friends.
4 Hello! How are you? My name is Jack!
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story in which new friends and new vocabulary are introduced.
5 Eight Purple Stars! Ten Little Pandas Full lesson available
Objective: Students will read a picture story and practise the numbers 1-10.
6 Eight Purple Stars! What colour is it?
Objective: Students will read and practise the words for basic colours. They will learn to answer the question: ‘What colour is …?’ and reply with ‘It’s …’.
7 Fun at School This is my father and mother.
Objective: Students will develop their reading skills. They will read a picture story and become familiar with ‘This is …’ and ‘That is …’.
8 What’s this? It’s my green eraser!
Objective: Students will develop their language skills by reading, and listening to, a picture story in which some possessive pronouns are used. They will also become familiar with the questions: ‘What’s this?’ and ‘What’s that?’.
9 What’s this? What’s in the box?
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will learn to ask and answer the question ‘Is it a …?’.
10 A New Boy at School A Letter from Peter
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also revise colours and numbers, and learn to talk about their families.
11 A New Boy at School Where’s my dog?
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also become familiar with some prepositions.
12 My Family Where’s the red kite?
Objective: Students will develop their comprehension skills by reading and listening to a picture story. They will also practise the use of ‘in’, ‘on’ and ‘under’.
13 My Family My Family Tree
Objective: Students will develop their comprehension skills by reading a text about the family. They will increase their vocabulary for family relationships and occupations, and they will learn to use ‘this’ and ‘that’.
14 About People That’s his cow!
Objective: Students will develop their comprehension skills by reading a text about occupations. They will also learn about the possessive adjectives ‘his’, ‘her’ and ‘their’.
15 About People These are my feet.
Objective: Students will develop their comprehension skills and vocabulary by reading a text about the parts of the body. They will practise using ‘this’ and ‘these’, and learn to form plurals.
16 Animal Mania! What animal is that? Full lesson available
Objective: Students will develop their comprehension skills by reading a text about animals. Students will practise asking and answering questions, and they will revise colours and numbers.
17 Animal Mania! A Very Tall Giraffe
Objective: Students will develop their comprehension skills by reading a text about animals in which more adjectives are used.
18 We like to play games. Holidays!
Objective: Students will develop their comprehension skills by reading a picture story about fun activities to do in the holidays. Students will practise using ‘let’s’ and learn the days of the week.
19 We like to play games. What’s your favourite? Full lesson available
Objective: Students will develop their comprehension skills by reading a picture story about activities they like to do. They will learn to talk about their preferences.
20 Do you like hamburgers? At a Café
Objective: Students will develop their comprehension skills by reading a picture story about food preferences.
21 Do you like hamburgers? This is Bobby.
Objective: Students will develop their comprehension skills by reading a picture story. They will also learn to ask questions about likes and dislikes.
22 It’s time to learn your A B C! It’s time!
Objective: Students will develop their comprehension skills by reading a short text about asking and telling the time on the hour and half hour.
23 It’s time to learn how to tell the time! No school! It’s Sunday!
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about daily routines.
24 It’s time to learn how to tell the time! Where are my clothes?
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about items of clothing. They will learn about the prepositions – ‘on’, ‘under’, ‘in’.
25 Sentences The Sentence
Objective: To identify and use complete sentences.
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Year 2 Literacy

# TOPIC TITLE
1 It’s time to learn your A B C! It’s time!
Objective: Students will develop their comprehension skills by reading a short text about asking and telling the time on the hour and half hour.
2 It’s time to learn how to tell the time! No school! It’s Sunday!
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about daily routines.
3 It’s time to learn how to tell the time! Where are my clothes?
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about items of clothing. They will learn about the prepositions – ‘on’, ‘under’, ‘in’.
4 School and Play I have lots of subjects! Full lesson available
Objective: Students will practise reading, and saying words and simple sentences to describe school subjects and the days of the week.
5 School and Play On the Weekend
Objective: Students will practise reading and recognising simple sentences about weekend activities.
6 It’s Christmas time! It’s time for Maths!
Objective: Students will develop their comprehension skills by reading a short text in which quarter past, quarter to, 5 past, 5 to, 10 past and 10 to the hour are used.
7 It’s Christmas time! Festivals are fun!
Objective: Students will develop their comprehension skills by reading a short text about Christmas and Chinese New Year.
8 I walk in the summer. The Seasons
Objective: Students will develop their reading skills and practise new words to describe the seasons.
9 I walk in the summer. How do you go to school?
Objective: Students will develop their reading skills and practise new words that describe modes of transport. They will also ask and answer questions about transport to different places.
10 What’s the weather like today? It’s a sunny day!
Objective: Students will develop their comprehension skills by reading a story about the weather.
11 What are you doing now? Shhhh! Dad is sleeping!
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used.
12 What are you doing now? We are having a picnic!
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used to ask and answer questions.
13 They’re usually in the lounge room. Hide and Seek
Objective: Students will develop their comprehension skills by reading a story about finding people.
14 They’re usually in the lounge room. An Unusual Day
Objective: Students will develop their comprehension skills by reading a story in which the simple present and the continuous present tenses are used. They will also learn the little words that help to sequence a story.
15 Left! Right! Let’s go! Where’s the shop?
Objective: Students will develop their comprehension skills by reading a story in which simple directions are given using the imperative.
16 Left! Right! Let’s go! Ladies and Gentlemen!
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used to talk about a concert.
17 Up, down and around we go! Roller-coaster Ride
Objective: Students will develop their comprehension skills by reading a story in which routes are described using the present continuous tense.
18 Up, down and around we go! Catch that car!
Objective: Students will develop their comprehension skills by reading a story which focuses on street directions and places.
19 Sentences The Sentence
Objective: To identify and use complete sentences.
20 Spelling Spelling
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.
21 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
22 Vowels and Consonants Vowels and Consonants
Objective: To identify and use vowels and consonants.
23 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
24 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
25 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
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Year 3 Literacy

# TOPIC TITLE
1 We’re very busy. Fast Food
Objective: Students will increase their vocabulary and develop their reading skills by reading what Peter and Chen say about fast food. They will also practise using the present tense, and asking and answering questions using ‘do’.
2 We’re very busy. On the farm Full lesson available
Objective: Students will increase their vocabulary and develop their reading skills by reading, in which the present continuous tense is used.
3 I can’t do that! This is a great park!
Objective: Students will increase their vocabulary and develop their reading skills by reading a story about a park. They will also become familiar with the use of ‘this’ and ‘these’ for things that are near and ‘that’ and ‘those’ for things that are far away.
4 I can’t do that! I can speak English!
Objective: Students will increase their vocabulary and develop their reading skills by reading a short speech about what a person ‘can’ and ‘can’t’ do.
5 Can I look at your new kite? Can I help you?
Objective: Students will increase their vocabulary and develop their reading skills by reading a text using ‘can’ and ‘can’t’ to make offers and requests.
6 Oh, no! Not the Doctor! Doctor, what have I got?
Objective: Students will increase their vocabulary and develop their reading skills by reading a text about illnesses.
7 Oh, no! Not the Doctor! There is a zoo in Sydney!
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘There is’ and ‘There are’ in relation to zoo animals is used.
8 It’s all in the future! One World, One Dream
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘going to’ is used to talk about the future.
9 It’s all in the future! You are going to have a great time!
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘going to’ is used to make future plans.
10 Maybe she’ll be funny! My animal friends are wonderful!
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will revise adjectives that describe personality.
11 Maybe she’ll be funny! What will Fido do next?
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also become familiar with the use of ‘will’ to express a future action.
12 First we’ll see a big city. Sydney: It’s special!
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will focus on the use of adjectives to describe cities.
13 First we’ll see a big city. Then we’ll eat it!
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story. They will also become familiar with the use of ‘will’ when describing a process.
14 We need to take a metal pan. What’s it made of? Full lesson available
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story about what things are made of. They will also revise prepositions of location.
15 We need to take a metal pan. They want to go camping.
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story about a camping trip. They will also become familiar with the terms ‘need to’ and ‘want to’.
16 First we’ll go to the eighth floor. Let’s make pancakes!
Objective: Students will develop their language skills by reading, and listening to, an illustrated recipe. They will also revise words that help them tell a story – ‘First’, ‘Then’, ‘Next’, ‘After that’ and ‘Finally’.
17 First we’ll go to the eighth floor. Who’s shopping at Sunsets?
Objective: Students will develop their language skills by reading, and listening to, a picture story about shopping in a department store. They will also revise some prepositions and learn some more in simple phrases.
18 On Monday I’ll buy new jeans. Whose Shoes?
Objective: Students will develop their comprehension skills by reading, and listening to, a picture poem about shopping. They will also revise colours and pronouns.
19 On Monday I’ll buy new jeans. Chen’s Holiday Plans
Objective: Students will develop their comprehension skills by reading a short story about Chen’s plans for his holidays. They will also practise verbs.
20 Sentences The Sentence
Objective: To identify and use complete sentences.
21 Spelling Spelling
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.
22 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
23 Vowels and Consonants Vowels and Consonants
Objective: To identify and use vowels and consonants.
24 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
25 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
26 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
27 Vowels Vowels – Long and Short
Objective: To identify long and short vowel sounds, and their use.
28 Plurals Plurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
29 Basic Dictionary Use Basic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
30 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
31 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
32 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
33 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
34 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
35 Common Errors Common Errors in spelling and punctuation
Objective: To identify and eliminate common errors.
36 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
37 Contractions Contractions
Objective: To identify and use contractions.
38 Other Places and Other Times A New Penfriend
Objective: Students will develop their reading comprehensions skills by reading a letter of introduction to a penfriend. They will also practise the present continuous tense and become familiar with vocabulary about different nationalities.
39 Other Places and Other Times Will we have robots?
Objective: Students will develop their comprehension skills by reading a text in which the future tense is used.
40 It was different yesterday. We all change.
Objective: Students will increase their vocabulary, particularly adjectives, and develop their reading skills. They will practise using the verb’ to be’ in the present and past tenses.
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Year 4 Literacy

# TOPIC TITLE
1 It was different yesterday. Kate worked hard!
Objective: Students will increase their vocabulary, particularly adjectives, and develop their reading skills. They will also practise using the simple past tense.
2 We learned about another culture. Guess who we met today!
Objective: Students will increase their vocabulary and develop their reading skills. They will also practise using the simple past tense of irregular verbs.
3 We learned about another culture. How the world was made!
Objective: Students will increase their vocabulary and develop their reading skills. They will also learn to identify some storytelling words and narrative structures.
4 They won! Australian Boy Wins!
Objective: Students will increase their vocabulary and develop their comprehension skills by reading a newspaper report. They will also practise using the ‘why/because’ structure.
5 They won! Always be honest!
Objective: Students will increase their vocabulary and develop their comprehension skills by reading a fable in which the simple past tense of regular and irregular verbs is used.
6 There was an accident! A Police Report
Objective: Students will increase their vocabulary and develop their reading skills by reading a simple report about an accident in which the simple past tense is used.
7 There was an accident! I feel sick!
Objective: Students will increase their vocabulary and develop their reading skills by reading a narrative about a visit to the doctor.
8 Let’s compare! A Maths Lesson
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story. They will focus on the use of comparative adjectives.
9 Let’s compare! Be careful! They’re dangerous!
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story in which instructions are given using the imperative. They will also learn more comparative adjectives.
10 A New CD Player The Perfect CD Player
Objective: Students will develop their comprehension skills by reading a text in which comparative adjectives are used.
11 A New CD Player Which do you prefer?
Objective: Students will develop their comprehension skills by reading a story about preferences.
12 That’s a great idea! A Visit to the Art Gallery
Objective: Students will develop their comprehension skills by reading a text in which irregular comparative adjectives are used.
13 That’s a great idea! That’s a great idea!
Objective: Students will develop their comprehension skills by reading a story in which plans for an activity are made.
14 Let’s find out! About the Stars
Objective: Students will develop their comprehension skills by reading a text in which superlative adjectives are used and facts are given.
15 Let’s find out! Two Great Countries
Objective: Students will develop their comprehension skills by reading a text in which China and Australia are described and compared.
16 The Most Beautiful Planet This is my country. Full lesson available
Objective: Students will develop their comprehension skills by reading a text about two countries. They will also practise using superlative adjectives.
17 The Most Beautiful Planet When the rain stops!
Objective: Students will develop their comprehension skills by reading a text in which ‘going to’ and ‘will’ are used to talk about future plans.
18 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
19 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
20 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
21 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
22 Vowels Vowels – Long and Short
Objective: To identify long and short vowel sounds, and their use.
23 Plurals Plurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
24 Basic Dictionary Use Basic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
25 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
26 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
27 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
28 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
29 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
30 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
31 Contractions Contractions
Objective: To identify and use contractions.
32 There weren’t many … There weren’t any flowers!
Objective: Students will increase their vocabulary, develop their reading skills and practise using the simple past tense of the verb ‘to be’.
33 There weren’t many … A Shopping List
Objective: Students will increase their vocabulary, develop their reading skills and practise asking questions using ‘How much …’ and ‘How many …’.
34 It couldn’t be mine! Uncle Bill said we could!
Objective: Students will increase their vocabulary, develop their reading skills and practise using ‘could’ and ‘couldn’t’ to refer to past events.
35 It couldn’t be mine! The Riding Lesson
Objective: Students will build vocabulary, answer comprehension questions and practise using possessive pronouns and adjectives.
36 Clean up Australia! Too much rubbish!
Objective: Students will increase their vocabulary and reading comprehension skills. They will also practise using ‘too much’, ‘too many’ and ‘enough’.
37 Clean up Australia! Sports Report
Objective: Students will increase their vocabulary and reading comprehension skills. They will also practise using the adverbs ‘well’ and ‘badly’.
38 Friends all over the World Now I can do it by myself.
Objective: Students will increase their vocabulary and develop their reading skills. They will practise using ‘too much’, ‘too many’ and ‘enough’.
39 Friends all over the World A Letter to a Pen Pal
Objective: Students will increase their vocabulary, develop their comprehension skills and practise using the simple present tense.
40 What’s the problem? What’s the matter?
Objective: Students will read and comprehend a passage in which words are used to describe feelings.
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Year 5 Literacy

# TOPIC TITLE
1 What’s the problem? A School Outing
Objective: Students will read and comprehend a notice. They will learn about the use of ‘should’ and ‘shouldn’t’.
2 When I was Young Life used to be different.
Objective: Students will develop their comprehension skills by reading, and listening to, an interview. They will learn how to describe finished activities using ‘used to’.
3 When I was Young Have you tidied your room?
Objective: Students will develop their comprehension skills by reading, and listening to, a rhyme. They will also learn the imperfect tense and its use.
4 Space and Time We’ve done our research. Full lesson available
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story. They will learn some irregular verbs in the present perfect tense.
5 Space and Time We’ve written a poem!
Objective: Students will develop their comprehension skills by reading, and listening to, a rhyme. They will learn more irregular verbs in the present perfect tense.
6 Choices and Places A New Jacket
Objective: Students will develop their comprehension skills by reading a text in which preferences are discussed and comparisons are made.
7 Choices and Places He has travelled a lot.
Objective: Students will develop their comprehension skills by reading a text in which the present perfect and the simple past tenses are used.
8 What’s the best way to do it? A Text Message
Objective: Students will develop their comprehension skills by reading a text which focuses on the use of ‘have to’ and adverbs of time.
9 What’s the best way to do it? What will we make?
Objective: Students will develop their comprehension skills by reading a text in which the children discuss a project.
10 Class Camp Dear Parents, …
Objective: Students will develop their comprehension skills by reading a letter which uses a variety of verb tenses.
11 Class Camp A Postcard from Kate
Objective: Students will develop their comprehension skills by reading an informal letter in which the simple past tense of the verb is used.
12 Sentences The Sentence
Objective: To identify and use complete sentences.
13 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
14 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
15 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
16 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
17 Basic Dictionary Use Basic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
18 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
19 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
20 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
21 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
22 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
23 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
24 Contractions Contractions
Objective: To identify and use contractions.
25 Parts of Speech Part h Articles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
26 Antonyms and Synonyms Antonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
27 Spelling Skills Spelling
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.
28 Spelling Skills Syllabification
Objective: To improve spelling by dividing words correctly into syllables.
29 Plurals Plurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
30 Nouns Collective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
31 Verbs Verbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
32 Adjectives Adjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
33 Parts of Speech Part a Prepositions
Objective: To identify and use prepositions correctly.
34 Punctuation Skills Part b Quotation Marks
Objective: To use quotation marks for direct speech.
35 Common Errors Common Errors in writing
Objective: To identify and eliminate common errors.
36 Apostrophe – Possession Apostrophe – Possession
Objective: To use the apostrophe of possession correctly.
37 Mnemonics Spelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
38 Prefixes Prefixes
Objective: The identify and use prefixes.
39 Suffixes Suffixes
Objective: The identify and use suffixes.
40 Similes and Metaphors Similes and Metaphors
Objective: To identify and use similes and metaphors.
41 Figurative Language Onomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
42 Homonyms – Homophones and Homographs Homonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
43 Advanced Dictionary Use Advanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
44 Capitalisation Capital Letters 2
Objective: To use capital letters correctly: in titles and letters.
45 Adjectives Adjectives – from Nouns and Verbs
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese
46 There’s a … It’s famous! Full lesson available
Objective: Students will increase their vocabulary, develop their reading skills and practise using the verb ‘to be’.
47 There’s a … There are lots of things in my town.
Objective: Students will increase their reading comprehension skills and their vocabulary. They will also become familiar with the use of ‘There is …’ and ‘There are …’.
48 Hobbies and Festivals Collecting things
Objective: Students will develop their reading skills and increase their vocabulary. They will learn the verb ‘to have’. They will also learn to use ‘this’ and ‘these’ correctly.
49 Hobbies and Festivals My favourite festival
Objective: Students will build vocabulary; begin to use conjunctions ‘and’, ‘but’ or ‘because’.
50 What can you do? Letter to a penfriend
Objective: Students will be able to read and understand an informal letter and use the present tense of ‘can’ and ‘can’t’.
51 What’s Homestay? Simple Present
Objective: Learn the correct structure for the simple present.
52 What’s Homestay? Simple Past
Objective: Learn the correct structure for the past simple.
53 Setting off Present perfect
Objective: Learn the correct structure for the present perfect.
54 Here we are! Adjectives
Objective: Learn the use of adjectives.
55 Here we are! Comparatives and superlatives
Objective: Learn how to use comparatives and superlatives in English.
56 A new home Prepositions of location
Objective: Learn about prepositions of location.
57 Let’s hit the beach! Modals of obligation
Objective: Learn about modals of obligation.
58 Amazing Aussie animals Present continuous
Objective: Learn about the present continuous tense.
59 Amazing Aussie animals Past continuous
Objective: Learn about the past continuous tense.
60 Amazing Aussie animals Giving facts and opinions
Objective: Present phrases that ask for and give opinions.
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Year 6 Literacy

# TOPIC TITLE
1 A visit to the Zoo About Koalas
Objective: Students will be able to answer questions about the text, identify the target language point ‘like’ + the infinitive) and distinguish between simple facts and opinions.
2 A visit to the Zoo I’m a zookeeper.
Objective: Students will be able to answer comprehension questions on reading, increase their vocabulary and use the frequency adverbs, ‘always’, ‘sometimes’, ‘often’ and ‘never’.
3 What do you want to do? Big Dreams
Objective: Students will be able to answer comprehension questions, increase their vocabulary and be able to use ‘want’ + the infinitive in positive and negative sentences, and in a question.
4 What do you want to do? Fruit Bowl
Objective: Students will be able to read and understand the text, to answer questions and to notice the use of the imperative form.
5 It’s going to be fun! It’s going to be fantastic!
Objective: Students will develop their comprehension skills by reading, and listening to, a story. They will learn how to talk about the future using the verb ‘to go + the infinitive’.
6 It’s going to be fun! What’s on the menu?
Objective: Students will develop their comprehension skills by reading various menus. They will also learn to ask questions politely.
7 We are all doing things! I’m having a great time!
Objective: Students will develop their comprehension skills by reading a letter which focuses on the use of the present continuous tense.
8 We are all doing things! Who can help me?
Objective: Students will develop their comprehension skills by reading a story in which requests for help are made.
9 To Australia and Back! Getting There! Full lesson available
Objective: Students will develop their comprehension skills by reading a text about travel plans. They will also learn about coordinate conjunctions.
10 To Australia and Back! I came back!
Objective: Students will develop their comprehension skills by reading a text in which Chen talks about going home to China. They will also revise the simple past tense.
11 Famous People Bruce Lee
Objective: Students will develop their comprehension skills by reading a text about Bruce Lee. They will also practise the use of the simple past tense and learn more irregular verbs.
12 Famous People Alexander Bell
Objective: Students will develop their comprehension skills by reading a text about Alexander Bell. They will also learn how to use ‘could’ and ‘couldn’t’, and review questions using ‘Wh’ words.
13 Finding Buster! Finding Buster! – A Movie Review
Objective: Students will develop their reading comprehension skills and increase their vocabulary by reading a movie review. They will also learn how to use the conjunction ‘because’ to answer ‘why’ questions.
14 Finding Buster! I’m going to be busy!
Objective: Students will develop their reading comprehension skills by reading a story about plans for the weekend. They will revise the use of the verb ‘to go’ in the present tense + the infinitive to talk about the future.
15 Sentences The Sentence
Objective: To identify and use complete sentences.
16 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
17 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
18 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
19 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
20 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
21 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
22 Parts of Speech Part h Articles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
23 Antonyms and Synonyms Antonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
24 Spelling Skills Syllabification
Objective: To improve spelling by dividing words correctly into syllables.
25 Plurals Plurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
26 Plurals Plurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
27 Nouns Collective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
28 Verbs Verbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
29 Adjectives Adjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
30 Parts of Speech Part a Prepositions
Objective: To identify and use prepositions correctly.
31 Punctuation Skills Part b Quotation Marks
Objective: To use quotation marks for direct speech.
32 Apostrophe – Possession Apostrophe – Possession
Objective: To use the apostrophe of possession correctly.
33 Mnemonics Spelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
34 Prefixes Prefixes
Objective: The identify and use prefixes.
35 Suffixes Suffixes
Objective: The identify and use suffixes.
36 Similes and Metaphors Similes and Metaphors
Objective: To identify and use similes and metaphors.
37 Figurative Language Onomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
38 Homonyms – Homophones and Homographs Homonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
39 Advanced Dictionary Use Advanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
40 Capitalisation Capital Letters 2
Objective: To use capital letters correctly: in titles and letters.
41 Adjectives Adjectives – from Nouns and Verbs
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese
42 Pronouns Pronouns 2
Objective: To recognise and use personal, possessive and relative pronouns.
43 Commas 2 Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
44 Conjunctions – Sentences Conjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
45 Phrases Phrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
46 Clauses Clauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
47 Simple and Compound Verbs Simple and Compound Verbs
Objective: To identify and use simple and compound verbs.
48 Auxiliary Verbs Auxiliary Verbs
Objective: To identify and use auxiliary verbs within compound verbs.
49 Subject-Verb Agreement Subject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
50 Verb tense – Compound Verb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
51 Plurals Plurals 3 – Unusual
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.
52 Common Errors Common Errors in verb usage, spelling and punctuation
Objective: To identify and eliminate common errors.
53 Punctuation Punctuation – Various
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.
54 Vocabulary Development Vocabulary
Objective: To identify and use better words than ‘got’ and ‘said’.
55 What do you like to do? Adverbs of frequency
Objective: Learn about the past continuous tense.
56 BBQ Party! Expressions of quantity
Objective: Learn the words used to express quantity.
57 BBQ Party! Sequence markers
Objective: Learn the words used in sequences or ordering.
58 Big day out! First and second conditionals
Objective: Learn the use of first conditionals. Learn the use of second conditionals.
59 Big day out! The future with ‘will’ and ‘going to’
Objective: Learn the uses of ‘will’ and ‘going to’ to talk about the future.
60 Thanks and goodbye Time clauses
Objective: Learn how to use time clauses.
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Year 7 Literacy

# TOPIC TITLE
1 Have you met? Hello!
Objective: Use the present tense verb to be (am, is and are) correctly in written and spoken work. Answer comprehension questions and apply am, is and are correctly.
2 Have you met? The world in a classroom! Full lesson available
Objective: At the end of this lesson, students will have learnt how to ask a question in English, and how to use the definite and indefinite articles.
3 Let’s get organised! First week fun!
Objective: Students will be able to read a schedule of activities, including a number of time expressions, and answer comprehension questions about the information given.
4 Let’s get organised! Organising your subject timetable.
Objective: Students will read scheduling information, correctly name school subjects in English, use information to complete a weekly timetable and answer simple present questions in affirmative and negative.
5 I like your hat! We are all different!
Objective: At the end of the reading students will be able to answer comprehension questions and use the correct pronouns to replace nouns. They will use correct forms to indicate a person, number, gender or ownership.
6 I like your hat! Fashion tips from Junko!
Objective: At the end of the reading students will be able to answer comprehension questions and identify different articles of clothing. They will be able to use descriptive adjectives and possessive adjectives.
7 Where is it? Getting around the ILC campus.
Objective: At the end of the reading students will be able to locate specific places based on descriptions using prepositions of location.
8 Where is it? Come to my party!
Objective: At the end of this lesson students will be able to give and understand simple directions using the imperative mode.
9 How much is it? Shopping list.
Objective: Students will read and answer comprehension questions, recognise count and uncount nouns and be able to use some/any and much/many correctly.
10 How much is it? Where can I buy it?
Objective: Students will read a brochure describing different types of shops. They will be able to answer comprehension questions and recognise and use comparative adjectives.
11 Tell me what happened! Eyewitness.
Objective: Students will read and understand a text talking about a past experience using the simple past tense with regular and irregular verbs, both positive and negative.
12 Tell me what happened! She screamed loudly!
Objective: Students will read and understand a short newspaper article using the past tense. They will answer comprehension questions and practise identifying and using adverbs and expressions of past time.
13 What’s your favourite? Would you like to play?
Objective: At the end of the reading students will be able to elicit information from a written text. They will be able to recognise the use of the infinitive form ‘to + verb’ to express purpose.
14 What’s your favourite? Do you enjoy going out?
Objective: Students will read ads for different leisure activities. They will be able to answer comprehension questions and recognise the use of gerunds. (verb + ing)
15 May I take your order? Are you eating well?
Objective: At the end of the lesson students will be able to answer comprehension questions based on the text and recognise and use the present continuous.
16 May I take your order? Would you like some tea?
Objective: Students will be able to answer comprehension questions and distinguish between ‘like’ and ‘would like.
17 What will we do? What will we do there?
Objective: At the end of the reading students will be able to elicit information from a reading and identify the use of ‘will’ and ‘going to’ to show future plans and hopes.
18 What will we do? What kind of job?
Objective: At the end of this lesson students will be able to answer questions about different jobs and occupations. They will also be able to talk about ongoing future activities using the ‘present continuous’ form and ‘before’, ‘when’, ‘after’ and ‘as soon as’ in future tense.
19 Let’s celebrate Merry Christmas!
Objective: At the end of this lesson students will be able to answer comprehension questions and distinguish between the present perfect and simple past.
20 Let’s celebrate The Diwali Festival.
Objective: At the end of this reading students will be able to describe an event in some detail using the present perfect/past simple and identify the differences between conjunctions ‘and’, ‘but’ and ‘because’.
21 Sentences The Sentence
Objective: To identify and use complete sentences.
22 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
23 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
24 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
25 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
26 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
27 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
28 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
29 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
30 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
31 Conjunctions – Sentences Conjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
32 Capitalisation Capital Letters 2
Objective: To use capital letters correctly: in titles and letters.
33 Parts of Speech Part h Articles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
34 Antonyms and Synonyms Antonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
35 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
36 Commas 2 Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
37 Spelling Skills Spelling
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.
38 Spelling Skills Syllabification
Objective: To improve spelling by dividing words correctly into syllables.
39 Plurals Plurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
40 Nouns Collective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
41 Verbs Verbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
42 Adjectives Adjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
43 Parts of Speech Part a Prepositions
Objective: To identify and use prepositions correctly.
44 Punctuation Skills Part b Quotation Marks
Objective: To use quotation marks for direct speech.
45 Apostrophe – Possession Apostrophe – Possession
Objective: To use the apostrophe of possession correctly.
46 Mnemonics Spelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
47 Prefixes Prefixes
Objective: The identify and use prefixes.
48 Suffixes Suffixes
Objective: The identify and use suffixes.
49 Similes and Metaphors Similes and Metaphors
Objective: To identify and use similes and metaphors.
50 Figurative Language Onomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
51 Homonyms – Homophones and Homographs Homonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
52 Advanced Dictionary Use Advanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
53 Vocabulary Development Vocabulary
Objective: To identify and use better words than ‘got’ and ‘said’.
54 Phrases Phrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
55 Clauses Clauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
56 Simple and Compound Verbs Simple and Compound Verbs
Objective: To identify and use simple and compound verbs.
57 Auxiliary Verbs Auxiliary Verbs
Objective: To identify and use auxiliary verbs within compound verbs.
58 Subject-Verb Agreement Subject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
59 Verb tense – Compound Verb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
60 Plurals Plurals 3 – Unusual
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.
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Year 8 Literacy

# TOPIC TITLE
1 What’s Homestay? Want to improve your English?
Objective: Learn how to elicit information from an advertisement and text.
2 What’s Homestay? Homestay application
Objective: Learn how to fill in an application form.
3 Setting off Destination ‘Downunder’
Objective: Expand vocabulary, read and understand a travel brochure.
4 Setting off A letter to the Carters Full lesson available
Objective: Read and understand an informal letter of introduction.
5 Here we are! Who are the Carters?
Objective: Elicit information from a letter about people’s physical appearance.
6 Here we are! My new family
Objective: Learn how to elicit information about personality traits from the text.
7 A new home This is our house.
Objective: Read a description of a house using prepositions of location.
8 A new home Our room!
Objective: Read a text using prepositions of location.
9 Let’s hit the beach! Meet Tim. He’s a lifesaver.
Objective: Elicit information to answer questions from the text. Identify strong versus mild obligation.
10 Let’s hit the beach! Be safe at the beach this summer!
Objective: Read and understand a safety pamphlet for Australian beaches. Identify imperatives in the reading.
11 Amazing Aussie animals Marsupials
Objective: Identify factual information within a text, answer questions and recognise a topic sentence.
12 Amazing Aussie animals When we were watching …
Objective: Read postcards about Australian animals. Identify past and present continuous.
13 What do you like to do? Would you like to join?
Objective: Select factual information from a text to answer questions. Identify the different ways to use like, like to and would like to.
14 What do you like to do? How often do you …?
Objective: Use adverbs of frequency and calculate how often activities occur.
15 BBQ Party! A famous Aussie dessert
Objective: Answer comprehension questions and identify expressions of quantity.
16 BBQ Party! A new ‘barbie’!
Objective: Read a set of instructions and complete activities based on comprehension and sequencing details.
17 Big day out! The big three Full lesson available
Objective: Answer comprehension questions and identify first and second conditionals.
18 Big day out! The big plan
Objective: Identify the different uses of ‘going to’. Use different ways of expressing time.
19 Thanks and goodbye My Australian experience
Objective: Read a text and answer comprehension questions. Identify expressions about ‘feelings’.
20 Thanks and goodbye Thank you letter
Objective: Recognise time clauses and identify ‘feeling’ adjectives.
21 Sentences The Sentence
Objective: To identify and use complete sentences.
22 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
23 Capitalisation Capital Letters 2
Objective: To use capital letters correctly: in titles and letters.
24 Pronouns Pronouns 2
Objective: To recognise and use personal, possessive and relative pronouns.
25 Parts of Speech Part a Prepositions
Objective: To identify and use prepositions correctly.
26 Punctuation Skills Part b Quotation Marks
Objective: To use quotation marks for direct speech.
27 Contractions Contractions
Objective: To identify and use contractions.
28 Common Errors Common Errors in writing
Objective: To identify and eliminate common errors.
29 Commas 2 Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
30 Conjunctions – Sentences Conjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
31 Phrases Phrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
32 Clauses Clauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
33 Subject-Verb Agreement Subject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
34 Verb tense – Compound Verb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
35 Verbs – Active and Passive voice Verbs – Active and Passive voice
Objective: To identify and use active and passive voice.
36 Apostrophe – Possession Apostrophe – Possession
Objective: To use the apostrophe of possession correctly.
37 Similes and Metaphors Similes and Metaphors
Objective: To identify and use similes and metaphors.
38 Figurative Language Onomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
39 Common Errors Common Errors in verb usage, spelling and punctuation
Objective: To identify and eliminate common errors.
40 Colons and Semi-Colons Colons and Semi-Colons
Objective: To use colons and semi-colons correctly.
41 Sentence Structure Part a Subject and Predicate
Objective: To identify the subject and predicate within a sentence and to understand they are the two main parts of a sentence.
42 Regular and Irregular Verbs Regular and Irregular Verbs
Objective: To identify and use regular and irregular verbs in the present and past tense.
43 Verbs – Infinitives Verbs – Infinitives
Objective: To identify and use the infinitive form of the verb.
44 Modal Verbs Modal Verbs
Objective: To identify and use modal verbs with the appropriate form of the main verb.
45 Participles – as Verbs and Adjectives Participles – as Verbs and Adjectives
Objective: To identify and use participles as verbs or adjectives as indicators of continuing action.
46 Gerunds Gerunds
Objective: To identify and use gerunds.
47 Interjections Interjections
Objective: To identify and use interjections correctly.
48 Plurals Plurals 4 – Unusual
Objective: To use nouns whose singular and plural forms are the same. To use compound noun plurals.
49 Sentence Improvement Sentence Improvement
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.
50 Punctuation Punctuation – Various
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.
51 Mass and Count Nouns Determiners
Objective: To identify and use determiners correctly with mass and count nouns.
52 Transitive and Intransitive Verbs Transitive and Intransitive Verbs
Objective: To identify and use transitive and intransitive verbs.
53 Case – Nouns and Pronouns Case – Nouns, Pronouns and Possessive Adjectives
Objective: To identify the case of nouns and pronouns.
54 Plurals of Foreign Nouns Plurals 5 – Foreign
Objective: To form plurals of foreign nouns.
55 Variety of Expression Sentence Construction
Objective: To construct expressive and precise sentences to improve meaning.
56 Figurative Language Symbolism and Personification
Objective: To identify, and make use of, symbolism and personification.
57 Review of Figures of Speech Review of Figures of Speech
Objective: To identify multiple uses of figures of speech within writing.
58 Spelling Skills Word Usage
Objective: To correctly choose words with similar spelling, sound and meaning.
59 Essay Writing 1 Essay Writing 1
Objective: To develop and write essays (expositions).
60 Essay Writing 2 Essay Writing 2
Objective: To develop and write essays.
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Year 9-12 Literacy

# TOPIC TITLE
1 Sentences The Sentence
Objective: To identify and use complete sentences.
2 Vowels Vowels – Long and Short
Objective: To identify long and short vowel sounds, and their use.
3 Basic Dictionary Use Basic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
4 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
5 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
6 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
7 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
8 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
9 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
10 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
11 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
12 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
13 Common Errors Common Errors in spelling and punctuation
Objective: To identify and eliminate common errors.
14 Conjunctions – Sentences Conjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
15 Capitalisation Capital Letters 2
Objective: To use capital letters correctly: in titles and letters.
16 Parts of Speech Part h Articles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
17 Antonyms and Synonyms Antonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
18 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
19 Commas 2 Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
20 Spelling Skills Spelling
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.
21 Spelling Skills Syllabification
Objective: To improve spelling by dividing words correctly into syllables.
22 Plurals Plurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
23 Plurals Plurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
24 Nouns Collective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
25 Verbs Verbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
26 Adjectives Adjectives – from Nouns and Verbs
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese
27 Adjectives Adjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
28 Parts of Speech Part a Prepositions
Objective: To identify and use prepositions correctly.
29 Punctuation Skills Part b Quotation Marks
Objective: To use quotation marks for direct speech.
30 Apostrophe – Possession Apostrophe – Possession
Objective: To use the apostrophe of possession correctly.
31 Mnemonics Spelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
32 Prefixes Prefixes
Objective: The identify and use prefixes.
33 Suffixes Suffixes
Objective: The identify and use suffixes.
34 Similes and Metaphors Similes and Metaphors
Objective: To identify and use similes and metaphors.
35 Figurative Language Onomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
36 Homonyms – Homophones and Homographs Homonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
37 Advanced Dictionary Use Advanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
38 Vocabulary Development Vocabulary
Objective: To identify and use better words than ‘got’ and ‘said’.
39 Phrases Phrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
40 Clauses Clauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
41 Simple and Compound Verbs Simple and Compound Verbs
Objective: To identify and use simple and compound verbs.
42 Auxiliary Verbs Auxiliary Verbs
Objective: To identify and use auxiliary verbs within compound verbs.
43 Subject-Verb Agreement Subject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
44 Verb tense – Compound Verb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
45 Plurals Plurals 3 – Unusual
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.
46 Pronouns Pronouns 2
Objective: To recognise and use personal, possessive and relative pronouns.
47 Contractions Contractions
Objective: To identify and use contractions.
48 Common Errors Common Errors in writing
Objective: To identify and eliminate common errors.
49 Verbs – Active and Passive voice Verbs – Active and Passive voice
Objective: To identify and use active and passive voice.
50 Common Errors Common Errors in verb usage, spelling and punctuation
Objective: To identify and eliminate common errors.
51 Colons and Semi-Colons Colons and Semi-Colons
Objective: To use colons and semi-colons correctly.
52 Sentence Structure Part a Subject and Predicate
Objective: To identify the subject and predicate within a sentence and to understand they are the two main parts of a sentence.
53 Regular and Irregular Verbs Regular and Irregular Verbs
Objective: To identify and use regular and irregular verbs in the present and past tense.
54 Verbs – Infinitives Verbs – Infinitives
Objective: To identify and use the infinitive form of the verb.
55 Modal Verbs Modal Verbs
Objective: To identify and use modal verbs with the appropriate form of the main verb.
56 Participles – as Verbs and Adjectives Participles – as Verbs and Adjectives
Objective: To identify and use participles as verbs or adjectives as indicators of continuing action.
57 Gerunds Gerunds
Objective: To identify and use gerunds.
58 Interjections Interjections
Objective: To identify and use interjections correctly.
59 Plurals Plurals 4 – Unusual
Objective: To use nouns whose singular and plural forms are the same. To use compound noun plurals.
60 Sentence Improvement Sentence Improvement
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.
61 Punctuation Punctuation – Various
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.
62 Mass and Count Nouns Determiners
Objective: To identify and use determiners correctly with mass and count nouns.
63 Transitive and Intransitive Verbs Transitive and Intransitive Verbs
Objective: To identify and use transitive and intransitive verbs.
64 Case – Nouns and Pronouns Case – Nouns, Pronouns and Possessive Adjectives
Objective: To identify the case of nouns and pronouns.
65 Plurals of Foreign Nouns Plurals 5 – Foreign
Objective: To form plurals of foreign nouns.
66 Variety of Expression Sentence Construction
Objective: To construct expressive and precise sentences to improve meaning.
67 Figurative Language Symbolism and Personification
Objective: To identify, and make use of, symbolism and personification.
68 Review of Figures of Speech Review of Figures of Speech
Objective: To identify multiple uses of figures of speech within writing.
69 Spelling Skills Word Usage
Objective: To correctly choose words with similar spelling, sound and meaning.
70 Essay Writing 1 Essay Writing 1
Objective: To develop and write essays (expositions).
71 Essay Writing 2 Essay Writing 2
Objective: To develop and write essays.
72 Letter Writing Personal and Business Letters
Objective: To use correct setting out and format for personal and business letters.
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