chapter 1 · web view1.5: multiplying whole numbers 1.6: dividing whole numbers 1.7: order of...

Chapter 1 Whole numbers Suggested time: 4 weeksStrand: NumberTopics: Number concepts, Addition and subtraction, Multiplication and division

Section GC tips, Investigations, Enrichment tasks, History of mathematics, Maths Quest challenge, 10 Quick Questions, Code puzzles

SkillSHEETs, WorkSHEETs, Interactive games,Test yourself, Topic tests(CD–ROM)

Technology applications (CD–ROM)

Core learning outcomes

Are you ready? (page 16) SkillSHEETs (page 16)1.1: Ascending and

descending order1.2: Place value1.3: Adding and

subtracting whole numbers less than 20

1.5: Multiplying whole numbers

1.6: Dividing whole numbers

1.7: Order of operations 1 1.8: Rounding to the first

(leading) digit1.10: Finding the square

root of a number1.12: Multiples1.13: Factor pairs

N 2.2 Students identify and solve addition and subtraction problems involving whole numbers. N 3.1Students compare, order and represent whole numbers to 9999.N 4.3Students identify and solve multiplication and division problems using a range of computation methods and strategies

WORK PROGRAMMaths Quest for Queensland Book 1ISBN: 0-7314-0051-8 RRP: $46.95 Available November 2003

To Order: Enquiries: Mobile: 0410 550 728Contact your local bookseller. Contact Madonna Cavalliotis, Phone: 07 3859 9683

Regional Sales Manager Email: [email protected]

REVISED26/11/03

The need for numbers (page 17)

WE 1Ex 1A The need for

numbers (page 18)

Maths Quest challenge Q1-2 (page 18)

Investigation: Number systems of the past (page 19)

History of mathematics: The Abacus (page 20)

SkillSHEET 1.1: Ascending and descending order (page 18)

N 4.1 (Q 1-4)Students compare and order whole numbers of any size.

Place value (page 21)WE 2a-b, 3Ex 1B Place value

(page 22)

Investigation: Numbers as identifiers (page 23)

SkillSHEET 1.2: Place value (page 22)


Adding and subtracting whole numbers (page 23)

WE 4, 5a-bEx 1C Adding and

subtracting whole numbers (page 26)

Enrichment task: Consecutive whole numbers (page 25)


SkillSHEET 1.3: Adding and subtracting whole numbers less than 20 (page 23)

Mathcad: Adding numbers (page 26)

Excel: Adding numbers (page 26)

Mathcad: Subtracting numbers (page 27)

Excel: Subtracting numbers (page 27)

N 4.2 (Q 1-17)Students identify and solve addition and subtraction problems involving any whole numbers, selecting from a range of computation methods, strategies and known number facts.

Multiplying whole numbers (page 29)

WE 6, 7, 8, 9Ex 1D Multiplying whole

numbers (page 31)

Enrichment task: Going dotty with dice (page 33)

SkillSHEET 1.4: Times tables (page 29)

SkillSHEET 1.5: Multiplying whole numbers (page 31)

Mathcad: Multiplying numbers (page 31)

Excel: Multiplying numbers (page 31)

Excel: Tangle tables (page 31)

GC program – Casio: Tables (page 31)

GC program – TI: Tables (page 31)

N 4.3 (Q 1-22)Students identify and solve multiplication problems involving whole numbers, selecting from a range of computation methods, strategies and known number facts.

Dividing whole numbers (page 34)


SkillSHEET 1.6: Dividing whole numbers

Excel: Dividing numbers (page 36)

N 4.3 (Q 1-16)Students identify and

WE 10, 11, 12Ex 1E Dividing whole

numbers (page 36)

(page 36)Game time 001 (page 37)WorkSHEET 1.1 (page 37)

Mathcad: Dividing numbers (page 36)

Excel: Four operations (DIY) (page 36)

solve division problems involving whole numbers, selecting from a range of computation methods, strategies and known number facts.

Order of operations (page 38)

WE 13Ex 1F Order of operations

(page 39)

GC tip– Casio: Order of operations (page 39)

GC tip– TI: Order of operations (page 39)

Investigation: Darts competition (page 40)

Code puzzle (page 41)

SkillSHEET 1.7: Order of operations I (page 39)

Mathcad: Order of operations (page 39)Excel: The four operations

(page 39)

N 4.2 (Q 1-6)Students identify and solve addition and subtraction problems involving any whole numbers, selecting from a range of computation methods, strategies and known number facts.N 4.3 (Q 1-6)Students identify and solve multiplication and division problems involving whole numbers, selecting from a range of computation methods, strategies and known number facts.

Estimation (page 42)WE 14Ex 1G Estimation

(page 43)

Investigation: Estimating (page 46)

10 Quick Questions 1 (page 48)

SkillSHEET 1.8: Rounding to the first (leading) digit (page 43)

Mathcad: Estimation (page 43)

Excel: The four operations (page 43)

N 4.1 (Q 2-5)Students compare and order whole numbers of any size.N 4.2 (Q 2-4, 6, 7)Students identify and solve addition and subtraction problems

involving any whole numbers, selecting from a range of computation methods, strategies and known number facts.N 4.3 (Q 1-7)Students identify and solve multiplication and division problems involving whole numbers, selecting from a range of computation methods, strategies and known number facts.

Subsets of numbers (page 48)

WE 15, 16, 17a-b, 18, 19Ex 1H Subsets of numbers

(page 53)

GC tip – Casio: Calculating the square of a number (page 49)

GC tip – TI: Calculating the square of a number (page 50)

GC tip – Casio: Calculating the square root of a number (page 50)

GC tip – TI: Calculating the square root of a number (page 51)


Enrichment task: Book numbers (page 56)

SkillSHEET 1.9: Finding the square of a number (page 53)

SkillSHEET 1.10: Finding the square root of a number (page 53)


WorkSHEET 1.2 (page 55)

GC program – TI: Palindromes (page 53)

Excel: Palindromes (page 53)

Mathcad: Squares(page 53)

Mathcad: Square roots (page 54)

Excel: Fibonacci numbers (page 54)

Excel: Palindromes (page 55)

N 4.1 (Q 1-5, 13-20)Students compare and order whole numbers of any size.N 5.1 (Q 6-12, 21, 22)Students compare and order integers, use and interpret index notation.

Index notation (page 56)WE 20a-b, 21Ex 1I Index notation

(page 57)


Mathcad: Index notation (page 57)

N 5.1 (Q 1-12)Students compare and order integers, use and interpret index notation.

Multiples and factors (page 58)

WE 22, 23, 24, 25, 26Ex 1J Multiples and

factors (page 61)


Investigation: How many tiles? (page 65)

SkillSHEET 1.12: Multiples (page 61)

SkillSHEET 1.13: Factor pairs (page 62)

Game time 002 (page 64)

Mathcad: Multiples (page 61)

Mathcad: Factors (page 62)

N 3.1 (Q 1-19)Students compare, order and represent whole numbers to 9999.N 4.3 (Q 20-29)Students identify and solve multiplication and division problems involving whole numbers, selecting from a range of computation methods, strategies and known number facts.

Prime and composite numbers (page 66)

WE 27, 28a-c, 29a-bEx 1K Prime and

composite numbers (page 69)

Investigation: The sieve of Eratosthenes (page 66)



Investigation: Finding square roots and cube roots without a calculator (page 71)

SkillSHEET 1.14: Even and odd numbers (page 69)

SkillSHEET 1.15: Consecutive numbers (page 69)


Excel: Sieve of Eratosthenese (page 66)

Mathcad: Prime numbers (page 69)

Mathcad: Prime factors (page 69)

GC Program – Casio: Prime factors (page 69)

GC Program – TI: Prime factors (page 69)

Excel: Prime factors (page 69)


Summary (page 72)Chapter review (page 73)

‘Test yourself’ multiple choice questions (page 76)

Topic tests (2)

Chapter 2 Common fractions Suggested time: 3 weeksStrand: NumberTopics: Number concepts, Addition and subtraction, Multiplication and division

Section GC tips, Investigations, Rich tasks, History of mathematics, Maths Quest challenge, 10 Quick Questions, Code puzzles




Are you ready? (page 78) SkillSHEETs (page 78)2.1: Types of fractions2.2: Equivalent fractions I2.3: Equivalent fractions II2.4: Lowest common

multiple2.5: Ordering fractions2.6: Highest common

factor2.7: Converting an

improper fraction to a mixed number

2.8: Converting a mixed number to an improper fraction

2.9: Adding and subtracting fractions with the same denominator

N 3.1Students compare, order and represent whole numbers to 9999 and common fractions.N 4.1Students compare and order common fractions of any size.N 5.2Students identify and solve addition and subtraction problems involving common fractions.

Understanding common fractions (page 79)

WE 1, 2, 3, 4, 5, 6



SkillSHEET 2.1: Types of fractions (page 83)

SkillSHEET 2.2:

Mathcad: Lowest common multiple (page 82)

GC program – Casio:

N 4.1 (Q 1-12)Students compare and order common fractions of

Ex 2A Understanding common fractions (page 83)

Equivalent fractions I (page 84)

SkillSHEET 2.3: Equivalent fractions II (page 84)

SkillSHEET 2.4: Lowest common multiple (page 85)

SkillSHEET 2.5: Ordering fractions (page 85)


Lowest common multiple (page 82)

GC program – TI: Lowest common multiple (page 82)

Excel: Equivalent fractions (page 84)

Excel: Equivalent fractions (DIY) (page 84)

GC program – Casio: Comparing fractions (page 85)

GC program – TI: Comparing fractions (page 85)

any size.

Simplifying common fractions (page 87)

WE 7, 8Ex 2B Simplifying

common fractions (page 88)

GC tip - Casio: Simplifying fractions (page 87)

GC tip - TI: Simplifying fractions (page 88)

SkillSHEET 2.6: Highest common factor (page 88)

Mathcad: Highest common factor (page 87)

GC program – Casio: Highest common factor (page 87)

GC program - TI: Highest common factor (page 87)

Excel: Simplifying a fraction (page 88)

Mathcad: Simplifying a fraction (page 88)

N 4.1 (Q 1-6)Students compare and order common fractions of any size.

Improper fractions and mixed numbers (page 89)

WE 9, 10Ex 2C Improper fractions

GC tip – Casio: Changing a mixed number to an improper fraction (page 90)

GC tip – TI: Changing a

SkillSHEET 2.7: Converting an improper fraction to a mixed number (page 91)

SkillSHEET 2.8:

Excel: Converting improper fractions to mixed numbers (page 92)

N 4.1 (Q 1-15)Students compare and order common fractions of any size.

and mixed numbers (page 91)

mixed number to an improper fraction (page 91)


Converting a mixed number to an improper fraction (page 92)


Mathcad: Converting improper fractions to mixed numbers (page 92)

Excel: Converting improper fractions to mixed numbers (DIY) (page 92)

Excel: Converting mixed numbers to improper fractions (page 93)

Mathcad: Converting mixed numbers to improper fractions (page 93)

Excel: Converting mixed numbers to improper fractions (DIY) (page 93)

Adding and subtracting common fractions (page 94)

WE 11, 12, 13, 14Ex 2D Adding and

subtracting common fractions (page 97)

GC tip - Casio: Adding and subtracting fractions (page 96)

GC tip - TI: Adding and subtracting fractions (page 96)


Investigation: Egyptian fractions (page 100)

SkillSHEET 2.9: Adding and subtracting fractions with the same denominator (page 97)

SkillSHEET 2.10: Lowest common multiple (page 97)

Excel: Adding and subtracting fractions (page 97)

Mathcad: Adding fractions (page 97)

Mathcad: Subtracting fractions (page 97)

Mathcad: Adding and subtracting fractions (page 98)

N 5.2 (Q 1-20)Students identify and solve addition and subtraction problems involving common fractions using a range of computation methods and strategies.

Multiplying common fractions (page 101)

WE 15, 16, 17, 18, 19, 20

Enrichment task: Musical fractions (page 106)

Game time 002 (page 106) Mathcad: Multiplying fractions (page 104)

Excel: Multiplying

N 4.3 (Q 1-4, 7)Students identify and solve multiplication

Ex 2E Multiplying common fractions (page 104)

fractions (page 104)Mathcad: Fraction of a

number (page 105)

problems involving common fractions, selecting from a range of computation methods, strategies and known number facts.N 5.3 (Q 5, 6, 8-14)Students identify and solve multiplication problems involving common fractions using a range of computation methods and strategies.

Dividing common fractions (page 108)

WE 21, 22, 23, 24Ex 2F Dividing common

fractions (page 110)

GC tip – Casio: Dividing a fraction by a fraction (page 109)

GC tip – TI: Dividing a fraction by a fraction (page 109)

Enrichment task: Averages and fractions (page 111)



Mathcad: Reciprocals (page 110)

Mathcad: Dividing fractions (page 110)

Excel: Dividing fractions (page 110)

N 4.3 (Q 1-5)Students identify and solve division problems involving common fractions, selecting from a range of computation methods, strategies and known number facts.N 5.3 (Q 6-9)Students identify and solve division problems involving common fractions using a range of computation methods and strategies.

Mixed operations with common fractions (page 112)

WE 25

GC tip - Casio: Mixed operations with fractions (page 112)

GC tip - TI: Mixed

Mathcad: Mixed operations (page 113)

Excel: Four operations with fractions

N 5.2 (Q 1-3)Students identify and solve addition and subtraction problems

Ex 2G Mixed operations with common fractions (page 113)

operations with fractions (page 112)


Investigation: You want more pizza? (page 114)

(page 113)GC program – TI: Mixed

operations (page 113)

involving common fractions using a range of computation methods and strategies.N 5.3 (Q 1-3)Students identify and solve multiplication and division problems involving common fractions using a range of computation methods and strategies.

Rates (page 114)WE 26, 27Ex 2H Rates (page 115)


N 4.3 (Q 1-17)Students identify and solve multiplication and division problems involving whole numbers, common fractions and rates, selecting from a range of computation methods, strategies and known number facts.



Topic tests (2)

Chapter 3 Decimal fractions Suggested time: 4 weeksStrand: NumberTopics: Number concepts, Addition and subtraction, Multiplication and division





Are you ready? (page 122) SkillSHEETs (page 122)3.1: Writing decimal

fractions3.2: Comparing decimal

fractions3.4: Rounding to the

nearest whole number3.5: Adding decimal

fractions with the same number of decimal places

3.6: Adding decimal fractions with the same number of decimal places

3.7: Subtracting decimal fractions with the same number of decimal places

3.8: Subtracting decimal fractions with a different number of

N 3.1Students compare, order and represent decimal fractions.N 3.2 Students identify and solve addition and subtraction problems involving decimal fractions.N 3.3Students identify and solve multiplication and division problems involving decimal fractions.N 4.2 Students identify and solve addition and subtraction problems involving decimal fractions, selecting from a

decimal places3.9: Multiplying decimal

fractions by a single-digit number

3.10: Multiplying decimal fractions by 10, 100 or 1000

3.12: Dividing decimal fractions by a single-digit number

3.13: Dividing decimal fractions by 10, 100 or 1000

range of computation methods, strategies and known number facts.N 4.3Students identify and solve multiplication and division problems involving decimal fractions selecting from a range of computation methods, strategies and known number facts.

Place value (page 123)WE 1a-c, 2, 3Ex 3A Place value

(page 125)

SkillSHEET 3.1: Writing decimal fractions (page 125)

N 4.1 (Q 1-13)Students compare and order decimal fractions of any size.

Comparing decimal fractions (page 126)

WE 4a-c, 5a-bEx 3B Comparing decimal


Investigation: The javelin event (page 129)

SkillSHEET 3.2: Comparing decimal fractions (page 128)


Converting decimal fractions to common fractions (page 129)

WE 6a-d, 7Ex 3C Converting decimal

fractions to common fractions (page 131)

SkillSHEET 3.3: Simplifying fractions (with denominators that are powers of 10) (page 131)

Excel: Converting decimals to fractions (page 131)

Mathcad: Converting decimals to fractions (page 131)


Rounding (page 131)WE 8a-b, 9a-b, 10, 11Ex 3D Rounding

(page 134)


SkillSHEET 3.4: Rounding to the nearest whole number (page 134)


Excel: Rounding (page 134)

Excel: Rounding (DIY) (page 134)


Adding and subtracting decimal fractions (page 135)

WE 12, 13a-bEx 3E Adding and

subtracting decimal fractions (page 137)

Investigation: Palindromic decimals (page 139)

SkillSHEET 3.5: Adding decimal fractions with the same number of decimal places (page 137)

SkillSHEET 3.6: Adding decimal fractions with a different number of decimal places (page 137)

SkillSHEET 3.7: Subtracting decimal fractions with the same number of decimal places (page 137)

SkillSHEET 3.8: Subtracting decimal fractions with a different number of decimal places (page 137)


Excel: Adding decimals (page 137)

Mathcad: Adding decimals (page 137)

Excel: Adding decimals (DIY) (page 137)

Mathcad: Subtracting decimals (page 138)

Excel: Subtracting decimals (page 138)

N 4.2 (Q 1-16)Students identify and solve addition and subtraction problems involving any decimal fractions, selecting from a range of computation methods, strategies and known number facts.

Multiplying decimal fractions (page 140)

WE 14a-cEx 3F Multiplying decimal



SkillSHEET 3.9: Multiplying decimal fractions by a single-digit number (page 141)

SkillSHEET 3.10:

Mathcad: Multiplying decimals by a whole number (page 141)

Mathcad: Multiplying decimal fractions

N 4.3 (Q 1-20)Students identify and solve multiplication problems involving decimal fractions,

Multiplying decimal fractions by 10, 100 or 1000 (page 141)

SkillSHEET 3.11: Multiplying decimal fractions I (page 142)

(page 142)Excel: Multiplying decimal


selecting from a range of computation methods, strategies and known number facts.

Dividing decimal fractions (page 144)

WE 15, 16a-bEx 3G Dividing decimal



SkillSHEET 3.12: Dividing decimal fractions by a single-digit number (page 145)

SkillSHEET 3.13: Dividing decimal fractions by 10, 100 or 1000 (page 145)

Game time 002 (page 147)WorkSHEET 3.2

(page 147)

Mathcad: Dividing decimals by whole numbers (page 145)

N 4.3 (Q 1-14)Students identify and solve division problems involving decimal fractions, selecting from a range of computation methods, strategies and known number facts.

Converting common fractions to decimal fractions (page 148)

WE 17a-b, 18Ex 3H Converting

common fractions to decimal fractions (page 149)

Enrichment task: Common fractions to decimal fractions (page 150)

GC program – Casio: Converting fractions to decimals (page 149)

GC program - TI: Converting fractions to decimals (page 149)

Excel: Converting fractions to decimals (page 149)

Mathcad: Converting fractions to decimals (page 149)

N 4.3 (Q 1-4)Students identify and solve division problems involving decimal fractions, selecting from a range of computation methods, strategies and known number facts.

Percentages (page 151)WE 19, 20, 21, 22a-b, 23Ex 3I Percentages

(page 154)

Code puzzle (page 156) SkillSHEET 3.14: Multiplying fractions by 100 (page 154)

Excel: Converting fractions to percentages (page 154)

Excel: Converting decimals to percentages

N 5.3 (Q 1-16)Students identify and solve multiplication and division problems involving percentages

(page 154)Excel: Converting

percentages to fractions and decimal fractions (page 154)

Mathcad: Converting percentages to fractions and decimal fractions (page 154)

Excel: One amount as a percentage of another (page 155)

using a range of computation methods and strategies.

Money (page 157)WE 24Ex 3J Money (page 158)

Investigation: Sale time – spending time! (page 160)


Excel: Calculating percentages (page 158)

Mathcad: Calculating percentages (page 158)

N 4.1 (Q 1-13)Students compare and order whole numbers and common and decimal fractions of any size, make connections between key percentages and fractions and describe how a range of factors influence financial decisions.



Topic tests (2)

Chapter 4 Positive and negative numbers Suggested time: 4 weeksStrand: NumberTopics: Number concepts, Addition and subtraction, Multiplication and division





Are you ready? (page 166) SkillSHEETs(page 166)4.1: Using < or > to

compare the size of numbers

4.2: Ascending and descending order

4.3: Marking numbers on a number line

4.4: Working with numbers on a number line

4.5: Evaluating squares, cubes and cube roots

4.6: Order of operations II

N 3.1Students compare, order and represent whole numbers to 9999.N 4.1Students compare and order whole numbers (square and cubic notation)N 4.2Students identify and solve addition and subtraction problems involving any whole numbers, selecting from a range of computation methods, strategies and known number facts.N 4.3Students identify and solve multiplication and division problems

involving whole numbers, selecting from a range of computation methods, strategies and known number facts.

Integers on the number line (page 167)

WE 1a-b, 2a-d, 3a-dEx 4A Integers on the

number line (page 170)

Investigation: Comparing temperatures (page 171)

SkillSHEET 4.1: Using < or > to compare the size of numbers (page 170)

SkillSHEET 4.2: Ascending and descending order (page 170)

SkillSHEET 4.3: Marking numbers on a number line (page 170)

SkillSHEET 4.4: Working with numbers on a number line (page 170)

Mathcad: Greater than or less than (page 170)

Excel: The number line (page 170)

N 4.1 (Q 1)Students compare and order whole numbers of any size.N 5.1 (Q 2-12)Students compare and order integers.

Positive integers and zero on the number plane (page 172)

WE 4a-b, 5a-bEx 4B Positive integers

and zero on the number plane (page 173)

Maths Quest challenge (page 173)

Mathcad: Number plane (positive axis) (page 173)


Integers on the number plane (page 174)

WE 6a-bEx 4C Integers on the

number plane (page 175)



Mathcad: Number plane (page 175)

N 5.1 (Q 1-12)Students compare and order integers.

Addition of integers (page 177)

WE 7a-bEx 4D Addition of integers

(page 178)

Code puzzle (page 181) Mathcad: Addition and subtraction of integers (page 178)

Excel: Addition of integers (page 179)

N 6.2 (Q 1-11)Students identify and solve addition problems involving rational numbers using a range of computation methods and strategies.

Subtraction of integers (page 182)

WE 8a-d, 9Ex 4E Subtraction of

integers (page 184)

GC tip – Casio: Entering a negative number (page 183)

GC tip – TI: Entering a negative number (page 183)

Mathcad: Addition and subtraction of integers (page 184)

Excel: Subtraction of integers (page 184)

N 6.2 (Q 1-9)Students identify and solve subtraction problems involving rational numbers using a range of computation methods and strategies.

Multiplication of integers (page 185)

WE 10a-eEx 4F Multiplication of

integers (page 187)

Investigation: Movies (page 185)

Investigation: Number pattern table (page 186)

SkillSHEET 4.5: Evaluating squares, cubes and cube roots (page 187)


Mathcad: Multiplication of integers (page 187)

Excel: Multiplication of integers (page 187)

N 6.3 (Q 1-8)Students identify and solve multiplication problems involving rational numbers, using a range of computation methods and strategies.

Division of integers (page 188)

WE 11a-c, 12a-bEx 4G Division of integers

(page 190)

GC tip – Casio: Division with negative numbers (page 189)

GC tip – TI: Division with negative numbers (page 189)


Investigation: Mountain climbing (page 191)

Mathcad: Division of integers (page 190)

Excel: Division of integers (page 190)

N 6.3 (Q 1-5)Students identify and solve division problems involving rational numbers, using a range of computation methods and strategies.

Combined operations (page 191)

WE 13Ex 4H Combined


GC tip – Casio: Finding the square of a number (page 192)

GC tip – TI: Finding the square of a number (page 192)

Investigation: Wet or dry reunion? (page 194)


SkillSHEET 4.6: Order of operations II (page 193)


(page 193)

Mathcad: Combined operations (page 193)

N 6.2 (Q 1-4)Students identify and solve addition and subtraction problems involving rational numbers using a range of computation methods and strategies.N 6.3 (Q 1-4)Students identify and solve multiplication and division problems involving rational numbers using a range of computation methods and strategies.

Directed numbers on the number line (page 195)

WE 14a-cEx 4I Directed numbers on

the number line (page 195)

Mathcad: Directed numbers on the number line (page 196)


Directed numbers on the number plane (page 196)

Ex 4J Directed numbers on the number plane (page 196)

Enrichment task: Tangrams on number planes (page 197)


Mathcad: Directed numbers on the number plane (page 196)




Topic tests (2)

Chapter 5 Patterns and functions Suggested time: 4 weeksStrand: Patterns and algebraTopic: Patterns and function, Equivalence and equations





Are you ready? (page 202) SkillSHEETs (page 202)5.1: Number patterns5.3: Using tables to show

number patterns5.4: Describing a number

pattern from a table5.6: Order of operations I5.7: Order of operations

with brackets5.8: Alternative

expressions used to describe the four operations

5.10: Simplifying fractions

PA 3.1Students create and continue number patterns, identify, describe and represent relationships between two quantities.PA 3.2Students represent and describe equivalence in equations that involve combinations of multiplication and division or addition and subtraction.N 4.1Students compare and order common fractions (simplifying)N 4.2Students identify and solve addition and subtraction problems

involving any whole numbers, selecting from a range of computation methods, strategies and known number facts.N 4.3Students identify and solve multiplication and division problems involving whole numbers, selecting from a range of computation methods, strategies and known number facts.

Number patterns (page 203)

WE 1a-b, 2a-b, 3Ex 5A Number patterns

(page 204)

SkillSHEET 5.1: Number patterns (page 204)

SkillSHEET 5.2: Worded operations (page 204)

PA 4.1 (Q 1-5)Students identify and create representations of patterns and functions.

Geometric patterns (page 205)

WE 4a-dEx 5B Geometric patterns

(page 208)

Code puzzle (page 207)Enrichment task: Even

number triangle (page 208)

SkillSHEET 5.3: Using tables to show number patterns (page 208)

SkillSHEET 5.4: Describing a number pattern from a table (page 208)

PA 4.1 (Q 1-4)Students identify and create representations of patterns and functions.

Graphing number patterns and geometric patterns (page 209)

WE 5a-c, 6a-c, 7a-b, 8a-bEx 5C Graphing number

patterns and geometric patterns (page 214)

PA 5.1 (Q 1-11)Students interpret and compare different representations of linear and simple non-linear functions and solve the related problems.

Writing and finding formulas (page 215)

WE 9a-c, 10, 11Ex 5D Writing and finding

formulas (page 218)

Enrichment task: Predicting values (page 221)


GC program – Casio: Finding the formula (page 218)

GC program – TI: Finding the formula (page 218)

PA 5.1 (Q 1-12)Students interpret and compare different representations of linear functions.

Using formulas (page 221)WE 12a-b, 13, 14Ex 5E Using formulas

(page 223)

Investigation: ‘Rules of thumb’ (page 224)

Enrichment task: Nutrition panels (page 225)

SkillSHEET 5.5: Substitution into rules (page 223)


SkillSHEET 5.7: Order of operations with brackets (page 223)

Excel: Substitution (page 224)

Mathcad: Substitution (page 224)

Excel: Substitution game (page 224)


Problem solving using algebra (page 227)

WE 15Ex 5F Problem solving

using algebra (page 228)

Investigation: How high will it grow? (page 231)


GC program – Casio: Finding the formula (page 228)

GC program – TI: Finding the formula (page 228)




Terms, expressions and equations (page 232)

WE 16, 17a-e, 18a-dEx 5G Terms, expressions

and equations (page 235)


SkillSHEET 5.8: Alternative expressions used to describe the four operations (page 235)



Simplifying expressions (page 237)

WE 19a-c

SkillSHEET 5.9: Combining like terms (page 238)

Mathcad: Simplifying expressions (page 238)

PA 6.2 (Q 1-6)Students interpret and solve mathematical

Ex 5H Simplifying expressions (page 238)

Game time 001 (page 238) models using algebraic methods

Multiplying and dividing pronumerals (page 239)

WE 20a-c, 21a-b, 22Ex 5I Multiplying and

dividing pronumerals (page 241)


SkillSHEET 5.10: Simplifying fractions (page 241)

PA 5.2 (Q 1-6)Students interpret and solve problems using algebraic methods

Expanding and simplifying (page 243)

WE 23a-b, 24a-bEx 5J Expanding and

simplifying (page 244)


(page 244)

Mathcad: Expanding brackets (page 244)

Excel: Expanding brackets (page 244)

GC program – Casio: Expanding (page 244)

GC program - TI: Expanding (page 244)

PA6.2 (Q 1-3)Students interpret and solve mathematical models using algebraic methods



Topic tests (2)

Chapter 6 Equivalence and equations Suggested time: 3 weeksStrand: Patterns and algebraTopics: Patterns and functions; Equivalence and equations





Are you ready? (page 250) SkillSHEETs (page 250)6.1: Completing number

sentences6.2: Writing number

sentences from written information

6.4: Applying the four operations

6.6: Inverse operations6.8: Combining like terms6.9: Checking solutions by

substitution

PA 3.1Students create and continue number patterns, identify, describe and represent relationships between two quantities.PA 3.2Students represent and describe equivalence in equations that involve combinations of multiplication and division or addition and subtraction.PA 6.2Students interpret and solve problems using algebraic methodsN 3.2Students solve addition and subtraction problems involving whole numbers.

N 3.3Students solve multiplication and division problems involving whole numbers.

Using inverse operations (page 251)

WE 1a-b, 2a-b, 3Ex 6A Using inverse


SkillSHEET 6.1: Completing number sentences (page 253)

SkillSHEET 6.2: Writing number sentences from written information (page 253)

SkillSHEET 6.3: Solving equations by inspection (page 254)

SkillSHEET 6.4: Applying the four operations (page 254)

SkillSHEET 6.5: Flow charts (page 254)

SkillSHEET 6.6: Inverse operations (page 255)


Excel: Backtracking (page 255)

PA 4.1 (Q 3-6)Students identify and create representations of patterns and functions and apply backtracking to solve simple equations that involve combinations of the four operations.PA 4.2 (Q 1, 2)Students create and interpret equations, explain the effect of order of operations, and justify solutions to equations

Building up expressions (page 256)

WE 4a-b, 5Ex 6B Building up

expressions (page 258)

History of mathematics: Robert Recorde (page 260)

SkillSHEET 6.7: Building expressions (page 258)

PA 4.1 (Q 1-3)Students identify and create representations of patterns and functions and apply backtracking to solve simple equations that involve combinations of the four operations.PA 4.2 (Q 4, 5)

Students create and interpret equations, explain the effect of order of operations, and justify solutions to equations

Solving equations using backtracking (page 261)

WE 6, 7a-b, 8Ex 6C Solving equations

using backtracking (page 263)

Enrichment task: Mystical powers (page 265)

Code puzzle (page 266)10 Quick Questions 1

(page 267)

SkillSHEET 6.8: Combining like terms (page 264)


Excel: Backtracking (page 263)

Mathcad: Solving equations (page 264)

GC program – Casio: Solving equations (page 264)

GC program – TI: Solving equations (page 264)

Excel: Solving equations (page 264)

PA 4.1 (Q 1-5)Students identify and create representations of patterns and functions and apply backtracking to solve simple equations that involve combinations of the four operations.PA 4.2 (Q 6, 7)Students create and interpret equations, explain the effect of order of operations, and justify solutions to equations

Checking solutions (page 268)

WE 9a-b, 10a-b, 11Ex 6D Checking solutions

(page 271)


SkillSHEET 6.9: Checking solutions by substitution (page 271)




Mathcad: Guess and check (page 272)



PA 4.2 (Q 1-3, 6)Students create and interpret equations, explain the effect of order of operations, and justify solutions to equationsPA 5.2 (Q 4, 5, 7, 8)Students interpret and solve linear equations related to realistic problems using algebraic methods.

Keeping equations balanced (page 273)

WE 12a-cEx 6E Keeping equations

balanced (page 274)



Enrichment task: Mobiles (page 277)

Enrichment task: Number game (page 277)


(page 275)

PA 5.2 (Q 1-9)Students interpret and solve linear equations related to realistic problems using algebraic methods.

Doing the same to both sides (page 278)

WE 13a-b, 14a-bEx 6F Doing the same to

both sides (page 280)

Mathcad: Doing the same to both sides (page 280)

Excel: 2-step equations (page 280)




Excel: 3-step equations (page 281)

PA 5.2 (Q 1-8)Students interpret and solve linear equations related to realistic problems using algebraic methods

Solving word problems (page 281)

WE 15a-c, 16, 17Ex 6G Solving word

problems (page 283)

Investigation: Kids’ hotline walk-a-thon (page 286)

SkillSHEET 6.10: Finding an average (page 283)

SkillSHEET 6.11: Consecutive numbers (page 284)






PA 5.2 (Q 1-21)Students interpret and solve linear equations related to realistic problems using algebraic methods.



Topic tests (2)

Chapter 7 Length, area and volume Suggested time: 4 weeksStrand: MeasurementTopic: Length, mass, area and volume





Are you ready? (page 292) SkillSHEETs(page 292)7.1: Metric units of length7.2: Reading scales (how

much is each interval worth?)

7.3: Measuring the length of a line

7.4: Relationship between unit size and the number of units used

7.9: Perimeter7.10: Area units7.11: Area of figures

drawn on centimetre grid paper

7.16: Volume of a solid constructed from cubic-centimetre blocks

M 3.1Students identify and use equivalent forms of standard units when measuring, comparing and ordering.M 4.1Students choose appropriate units when estimating and measuring lengths.

Metric units of length (page 293)

WE 1, 2Ex 7A Metric units of

length (page 295)

Investigation: Measuring lengths (page 300)

SkillSHEET 7.1: Metric units of length (page 295)

SkillSHEET 7.2: Reading scales (how much is each interval worth?) (page 297)

SkillSHEET 7.3: Measuring the length of a line (page 299)

M 4.1 (Q 1-14)Students choose appropriate units when estimating and measuring lengths.

Converting units of length (page 300)

WE 3a-cEx 7B Converting units of

length (page 302)

Investigation: A metric unit converter (page 304)


SkillSHEET 7.4: Relationship between unit size and the number of units used (page 302)

SkillSHEET 7.5: Converting units of length (metres and kilometres) (page 302)

SkillSHEET 7.6: Converting units of length to compare length or distances (page 303)

SkillSHEET 7.7: Adding and subtracting decimal fractions (page 303)

SkillSHEET 7.8: Multiplying decimal fractions II (page 303)

Game time 001 (page 304)WorkSHEET 7.1 (page 304)

Excel: Length conversions (page 302)

Mathcad: Converting units (page 302)

Excel: Length conversions (page 304)

M 4.1 (Q 1-23)Students choose appropriate units when estimating and measuring lengths.

Perimeter (page 306)WE 4a-b, 5Ex 7C Perimeter

(page 307)

Maths Quest challenge: Q1-4 (page 311)


Investigation: Measuring curves (page 312)

Investigation: Maximise the perimeter (page 312)

Investigation: Cost of a new fence (page 313)

SkillSHEET 7.9: Perimeter (page 307)

Cabri geometry: Perimeter of a rectangle (page 307)

Cabri geometry: Maximise the perimeter (page 312)

M 4.1 (Q 1-20)Students choose appropriate units when estimating and measuring and explain relationships between dimensions when investigating lengths of boundaries of rectangles.

Metric units of area (page 314)

WE 6a-b, 7, 8a-cEx 7D Metric units of area

(page 317)


SkillSHEET 7.10: Area units (page 317)

SkillSHEET 7.11: Area of figures drawn on centimetre grid paper (page 318)

SkillSHEET 7.12: Multiplying and dividing by powers of 10 (page 319)

Mathcad: Converting units of area (page 319)

Excel: Area units converter (page 319)

Excel: Area units converter (DIY) (page 319)

M 4.1 (Q 1-7, 9-12)Students choose appropriate units when estimating and measuring and explain relationships between dimensions when investigating areas of rectangles.M 5.1 (Q 8)Students develop formulae to calculate areas where the relationships between dimensions are known.

Area of rectangles and triangles (page 320)

WE 9a-b, 10, 11a-bEx 7E Area of rectangles

and triangles (page 323)

Investigation: Investigating the area of a rectangle (page 320)


Investigation: What area does your hand cover? (page 329)

SkillSHEET 7.13: Area of rectangles (page 324)

SkillSHEET 7.14: Area of triangles (page 325)


Mathcad: Area of a rectangle (page 324)

Excel: Area of a rectangle (page 324)

Cabri geometry: Area of a rectangle (page 324)

Cabri geometry: Area of a triangle (page 325)

M 5.1 (Q 1-22)Students develop formulae to calculate areas where the relationships between dimensions are known and investigate a range of other shapes to explain the relationships between

Enrichment task: The size of tangram pieces (page 330)

Mathcad: Area of a triangle (page 325)

Excel: Area of a triangle (page 325)

GC program – Casio: Measurement ( 325)

GC program – TI: Measurement ( 325)

dimensions.

Area of composite shapes (page 331)

WE 12Ex 7F Area of composite

shapes (page 332)


Game time 002 (page 333) Excel: Area (page 332)GC program – Casio:

Measurement (page 332)

GC program – TI: Measurement (page 332)

M 5.1 (Q 1-10)Students develop formulae to calculate areas where the relationships between dimensions are known and investigate a range of other shapes to explain the relationships between dimensions.

Volume and capacity (page 335)

WE 13a-b, 14, 15a-cEx 7G Volume and

capacity (page 338)

Investigation: Volume of a rectangular prism (page 336)


Investigation: Around the house (page 344)

SkillSHEET 7.15: Volume units (page 338)

SkillSHEET 7.16: Volume of a solid constructed from cubic-centimetre blocks (page 338)


Excel: Volume of a rectangular prism (page 339)

Mathcad: Volume of a rectangular prism (page 339)

Excel: Capacity unit conversions (page 341)

Mathcad: Capacity unit conversions (page 341)

M 4.1 (Q 1, 2, 13-26)Students choose appropriate units when estimating and measuring and explain relationships between dimensions when investigating volumes of prisms.M 5.1 (Q 3-12, 27-30)Students develop formulae to calculate volumes where the relationships between dimensions are known.



Topic tests (2)

Chapter 8 Time and mass Suggested time: 3 weeksStrand: MeasurementTopics: Time; Length, mass, area and volume





Are you ready? (page 352) SkillSHEETs (page 352)8.1: Reading the time

(from analogue clocks)8.2: Comparing times

shown on digital and analogue watches

8.3: Calculating the time elapsed between two events

8.4: 24-hour time8.5: Drawing time lines8.6: Mass units

M 3.2Students read, record and calculate with 12-hour time.M 4.2Students read, record and calculate with 24-hour time.M 4.1Students choose appropriate units estimating and measuring mass.

Time calculations (page 353)

WE 1, 2, 3a-b, 4a-cEx 8A Time calculations


SkillSHEET 8.1: Reading the time (from analogue clocks) (page 356)

SkillSHEET 8.2:

Mathcad: Converting units of time (page 357)

Excel: Time differences (page 357)

M 3.2 (Q 1-11, 13-15)Students read, record and calculate with 12-hour time.

(page 356) Comparing times shown on digital and analogue watches (page 357)

SkillSHEET 8.3: Calculating the time elapsed between two events (page 357)


M 4.2 (Q 12, 16-23)Students read, record and calculate with 24-hour time and develop timetables and calendars to plan and organise events or activities.

24-hour clock (page 359)WE 5a-bEx 8B 24-hour clock

(page 360)

Investigation: Using 24-hour time (page 362)


SkillSHEET 8.4: 24-hour time (page 360)


(page 361)

Mathcad: 12-h/24-h time (page 360)

Excel: 12-h 24-h time (DIY) (page 360)

Excel: 24-h 12-h time (DIY) (page 360)

M 4.2 (Q 1-13)Students read, record and calculate with 24-hour time and develop timetables and calendars to plan and organise events or activities.

The calendar (page 362)WE 6a-b, 7, 8Ex 8C The calendar

(page 366)

History of mathematics: The calendar (page 364)

Excel: Time differences (page 367)

Excel: Leap year calculator (page 368)

Excel: Leap year calculator (DIY) (page 368)


Time lines (page 369)WE 9Ex 8D Time lines

(page 370)

SkillSHEET 8.5: Drawing time lines (page 370)


Timetables (page 372)WE 10a-c, 11

M 5.2 (Q 1-20)Students interpret and

Ex 8E Timetables (page 376)

solve realistic problems related to time management and time zones within Australia.

Time zones and flight schedules (page 377)

WE 12a-bEx 8F Time zones and

flight schedules (page 380)


Investigation: Up, up and away! (page 382)



Excel: Time zones (page 377)

M 5.2 (Q 1-23)Students interpret and solve realistic problems related to time management and time zones within Australia.

Mass (page 383)WE 13, 14, 15Ex 8G Mass (page 386)

Enrichment task: Estimating length and mass (page 385)

Investigation: Comparing mass (page 388)


SkillSHEET 8.6: Mass units (page 386)


Excel: Converting units of mass (page 386)

Mathcad: Converting units of mass (page 386)

M 4.1 (Q 1-17)Students choose appropriate units when estimating and measuring mass.



Topic tests (2)

Chapter 9 Chance Suggested time: 3 weeksStrand: Chance and dataTopic: Chance





Are you ready? (page 394) SkillSHEETs (page 394)9.1: Understanding

‘chance’ words9.2: Comparing the

likelihood of different events occurring

9.3: Describing the chance of an event occurring as more or less than half

9.4: Listing all possible outcomes for an event

9.5: Understanding a standard deck of playing cards

9.6: Writing a simple probability as a fraction

CD 3.1Students identify all possible outcomes of familiar situations or actions and, for these sample spaces, order the likelihood of occurrence of the identified outcomes using experimental data

The language of chance (page 395)

WE 1a-e, 2a-cEx 9A The language of

chance (page 398)

SkillSHEET 9.1: Understanding ‘chance’ words (page 398)

SkillSHEET 9.2: Comparing the likelihood of different

CD 4.1 (Q 1-7)Students analyse experimental data and compare numerical results with predicted results to inform judgments about

events occurring (page 398)

SkillSHEET 9.3: Describing the chance of an event occurring as more or less than half (page 399)

the likelihood of particular outcomes.

The sample space (page 400)

WE 3, 4Ex 9B The sample space

(page 401)

SkillSHEET 9.4: Listing all possible outcomes for an event (page 401)

SkillSHEET 9.5: Understanding a standard deck of playing cards (page 401)


CD 5.1 (Q 1-7)Students model and determine probabilities for single events to justify statements and decisions.

Simple probability (page 402)

WE 5a-c, 6a-bEx 9C Simple probability

(page 404)

Enrichment task: Parachute landing (page 406)


(page 408)

SkillSHEET 9.6: Writing a simple probability as a fractions (page 404)



Using tables to show sample spaces (page 408)

WE 7a-cEx 9D Using tables to

show sample spaces (page 411)



Experimenting with chance (page 413)


SkillSHEET 9.7: Converting a fraction to

Excel: Simulating coin tosses (page 416)

CD 5.1 (Q 1-6)Students model and

WE 8a-fEx 9E Experimenting with

chance (page 417)


Enrichment task: Petals (page 420)

a percentage (page 417)Game time 002 (page 418)

Excel: Simulating coin tosses (page 417)

GC program – Casio: Coin flip (page 417)

GC program – TI: Coin flip (page 417)

Excel: Simulating coin tosses (DIY) (page 417)

GC program – Casio: Rolling a die (page 418)

GC program – TI: Rolling a die (page 418)

determine probabilities for single events to justify statements and decisions.

Fair games (page 421)WE 9a-bEx 9F Fair games

(page 422)

Investigation: I win! (page 423)





Topic tests (2)

Chapter 10 Data Suggested time: 3 weeksStrand: Chance and dataTopic: Data





Are you ready? (page 428) SkillSHEETs (page 428)10.1: Distinguishing

between qualitative and quantitative data

10.2: Distinguishing between discrete and continuous data

10.4: Reading scales (how much is each interval worth?)

10.5: Forming fractions10.6: Multiplying fractions

by a whole number10.10: Constructing angles

with a protractor10.13: Finding the mean of

ungrouped data10.15: Finding the median

CD 4.2Students make comparisons about data based on displays and measures of location.N 4.1Students compare and order common fractions.

Collecting and classifying data (page 429)

WE 1, 2a-dEx 10A Collecting and

Investigation: Generating random numbers (page 431)

Maths Quest challenge:

SkillSHEET 10.1: Distinguishing between qualitative and quantitative data

Mathcad: Collecting data (page 432)

CD 4.2 (Q 1-9)Students plan and carry out data collections using their own data record

classifying data (page 432)

Q1-3 (page 434)Investigation: Bias

(page 435)Investigation: Collecting

data for surveys and questionnaires (page 436)

Enrichment task: How many red smarties are in a pack? (page 438)

(page 433)SkillSHEET 10.2:

Distinguishing between discrete and continuous data (page 433)

templates, choose or construct appropriate displays and make comparisons about the data based on the displays.

Displaying data in tables (page 439)

WE 3a-f, 4a-gEx 10B Displaying data in

tables (page 443)

SkillSHEET 10.3: Frequency distribution tables (page 443)


Excel: Frequency tally tables (page 443)

Excel: Frequency tally tables (DIY) (page 443)

Mathcad: Tables and charts (page 444)

CD 4.2 (Q 1-11)Students carry out data collections, choose or construct appropriate displays and make comparisons about the data based on the displays.

Understanding graphical displays (page 447)

Ex 10C Understanding graphical displays (page 448)


(page 453)

SkillSHEET 10.4: Reading scales (how much is each interval worth?)

CD 4.2 (Q 1-8)Students make comparisons about data based on displays.

Displaying data as graphs (page 454)

WE 5, 6, 7a-d, 8a-b, 9a-e, 10a-b, 11a-b

Ex 10D Displaying data as graphs (page 464)

Investigation: Walking billboard (page 470)


Investigation: Pictographs (page 472)

SkillSHEET 10.5: Forming fractions (page 467)

SkillSHEET 10.6: Multiplying fractions by a whole number (page 467)

SkillSHEET 10.7: Simplifying fractions (page 467)

SkillSHEET 10.8:

Excel: Column graphs (page 464)

Mathcad: Column graphs (page 464)

Excel: Column graphs (DIY) (page 464)

Excel: Bar graphs (page 465)

Excel: Bar graphs (DIY) (page 464)

CD 4.2 (Q 1-22)Students carry out data collections, choose or construct appropriate displays and make comparisons about the data based on the displays.

Converting a fraction to a percentage (page 467)

SkillSHEET 10.9: Measuring angles with a protractor (page 467)

SkillSHEET 10.10: Constructing angles with a protractor (page 468)

SkillSHEET 10.11: Drawing pie graphs (page 468)

SkillSHEET 10.12: Choosing an appropriate scale for dot plots (page 469)



Excel: Line graphs (page 466)

Mathcad: Line graphs (page 466)

Excel: Line graphs (DIY) (page 466)

Excel: Pie graphs (page 467)

Mathcad: Pie graphs (page 467)

Excel: Pie graphs (DIY) (page 467)

Excel: Dotplots (DIY) (page 469)

Summary statistics (page 473)

WE 12a-b, 13a-b, 14a-c, 15

Ex 10E Summary statistics (page 478)

GC tip – Casio: Finding the mean, median, mode and range (page 476)

GC tip – TI: Finding the mean, median, mode and range (page 477)

Investigation: Families (page 481)

SkillSHEET 10.13: Finding the mean of ungrouped data (page 478)

SkillSHEET 10.14: Finding the location of the median (page 479)

SkillSHEET 10.15: Finding the median (page 479)


(page 481)

Mathcad: Summary statistics (page 478)

Excel: Mean (page 478)Excel: Mean (DIY)

(page 478)Excel: Median (page 479)Excel: Median (DIY)

(page 479)Excel: Mode (page 479)Excel: Mode (DIY)

(page 479)

CD 4.2 (Q 1-19)Students construct appropriate displays and make comparisons about the data based on the displays and measures of location.CD 5.2 (Q 20-25)Students plan investigations involving discrete and continuous data, produce and compare data displays involving

grouping, and compare measures of location.



Topic tests (2)

Chapter 11 Shape and line Suggested time: 3 weeksStrand: SpaceTopic: Shape and line





Are you ready? (page 492) SkillSHEETs (page 492)11.1: Reading the scale on

a protractor11.2: Comparing the size

of angles11.4: Measuring angles

with a protractor11.5: Constructing angles

with a protractor11.6: Classifying angles11.7: Naming angles11.9: Classifying triangles

according to the length of their sides

S 3.1Students identify and describe the properties of specific families of 2D shapes.S 4.1Students analyse the geometric properties of a range of 2D shapes to classify shapes into subgroups of families.

Measuring and constructing angles with a protractor (page 493)

WE 1a-b, 2a-bEx 11A Measuring and

constructing angles with a protractor (page 497)


Code puzzle (page 500)Investigation: Estimating

the size of an angle (page 501)

SkillSHEET 11.1: Reading the scale on a protractor (page 497)

SkillSHEET 11.2: Comparing the size of angles (page 497)

SkillSHEET 11.3: Estimating the size of an angle (page 497)




Cabri geometry: Angles (page 498)

GC program – Casio: Constructing angles (page 499)

GC program – TI: Constructing angles (page 499)

Excel: Constructing angles (page 499)

S 4.1 (Q 1-7)Students analyse the geometric properties of a range of 2D shapes to classify shapes into subgroups of families and justify reasoning.

Classifying and naming angles (page 502)

WE 3a-c, 4a-b, 5Ex 11B Classifying and

naming angles (page 504)

SkillSHEET 11.6: Classifying angles (page 504)

SkillSHEET 11.7: Naming angles (page 506)


Cabri geometry: Types of angles (page 504)

Cabri geometry: Naming and measuring angles (page 506)

S 3.1 (Q 1-7)Students identify and describe the properties of specific families of 2D shapes.S 4.1 (Q 8-11)Students analyse the geometric properties of a range of 2D shapes to classify shapes into subgroups of families and justify reasoning.

Angle relationships (page 507)

WE 6, 7, 8a-b, 9a-b, 10a-c,


10 Quick Questions 1

SkillSHEET 11.8: Solving equations by backtracking (page 511)

Mathcad: Finding the complement (page 510)

Mathcad: Finding the

S 6.1 (Q 1-10)Students use deductive reasoning to generalise

11Ex 11C Angle

relationships (page 510)

(page 513) supplement (page 510)Cabri geometry:

Complementary angles (page 510)

Cabri geometry: Supplementary angles (page 510)

about the properties of lines and angles referring to relationships between these properties to justify arguments.

Constructing angles with a pair of compasses (page 514)

WE 12, 13, 14, 15Ex 11D Constructing

angles with a pair of compasses (page 518)

Investigation: Copying triangles (page 518)


Cabri geometry: Constructing a right angle (DIY) (page 514)

Cabri geometry: Constructing an angle of 60 (DIY) (page 514)

Cabri geometry: Bisecting an angle (DIY) (page 515)

Cabri geometry: Copying an angle (DIY) (page 517)

S 5.1 (Q 1-8)Students analyse the relationships between the properties of shapes, lines and angles to create representations of geometric objects that satisfy design specifications.

Triangles (page 519)WE 16a-c, 17a-c, 18, 19,

20Ex 11E Triangles

(page 524)

Investigation: Sum of angles in a triangle (page 521)


Enrichment task: Properties of triangles (page 528)

SkillSHEET 11.9: Classifying triangles according to the length of their sides (page 524)

SkillSHEET 11.10: Classifying triangles according to the size of their angles (page 524)

Cabri geometry: Angle sum of a triangle (page 522)

Cabri geometry: Classifying triangles (sides) (page 524)

Cabri geometry: Classifying triangles (angles) (page 524)

Cabri geometry: Angle sum of a triangle (page 526)

Mathcad: Angles in a


triangle (page 526)Cabri geometry: Angles in

right-angled triangles (page 526)

Quadrilaterals (page 529)WE 21a-b, 22, 23, 24Ex 11F Quadrilaterals

(page 533)

Investigation: Sum of angles in a quadrilateral (page 530)

Investigation: Design for a front gate (page 536)

Investigation: Constructing quadrilaterals (page 537)

Game time 002 (page 536) Cabri geometry: Quadrilaterals (page 529)

Cabri geometry: Parallelograms (page 529)

Cabri geometry: Rectangles (page 529)

Cabri geometry: Rhombuses (page 529)

Cabri geometry: Squares (page 529)

Cabri geometry: Trapeziums (page 530)

Cabri geometry: Kites (page 530)

Cabri geometry: Parallelogram (page 531)

Cabri geometry: Trapezium (page 531)



Cabri geometry: Angle sum in a quadrilateral (page 531)


Cabri geometry: Parallelograms (page 533)

Cabri geometry: Rectangles (page 533)

Cabri geometry: Rhombuses (page 533)


Cabri geometry: Trapeziums (page 533)


Cabri geometry: Angle sum in a quadrilateral (page 534)

Mathcad: Angles in a quadrilateral (page 534)

Polygons (page 537)WE 25a-cEx 11G Polygons

(page 539)

Investigation: In search of polygons (page 540)


SkillSHEET 11.11: Naming polygons (page 539)


Cabri geometry: Polygons (page 539)

Cabri geometry: Regular polygons (page 539)




Topic tests (2)

Chapter 12 Location, direction and movement Suggested time: 2 weeksStrand: SpaceTopic: Location, direction and movement





Are you ready? (page 550) SkillSHEETs (page 550)12.1: Converting units of

length12.2: Multiplying and

dividing by powers of 10

12.3: Angles around a circle (as in a compass)

12.4: Constructing angles with a protractor

12.5: Measuring angles with a protractor

S 3.2Students give directions using major compass points and angles.S 4.1Students analyse the geometric properties of a range of 2D shapes to classify shapes into subgroups of families and justify reasoning.M 4.1Students choose appropriate units when measuring lengths.N 4.3Students identify and solve multiplication and division problems using a range of computation methods and strategies

Interpreting maps – scale (page 551)

WE 1, 2, 3Ex 12A Interpreting maps

– scale (page 553)



SkillSHEET 12.1: Converting units of length (page 553)

SkillSHEET 12.2: Multiplying and dividing by powers of 10


Mathcad: Map scales (page 553)

Excel: Map scales (page 553)

Excel: Map scales (DIY) (page 553)

S 4.2 (Q 3, 5, 6, 9, 11-14)Students interpret maps and plans with reference to conventions. S 5.2 (Q 1, 2, 4, 7, 8 10)Students interpret and describe maps and plans that use scale.

Locations on Earth (page 558)

WE 4a-c, 5a-c, 6a-c, 7a-cEx 12B Locations on Earth

(page 563)

Investigation: Parallels of latitude and meridians of longitude (page 561)



(page 563)

S 4.2 (Q 3, 4)Students interpret maps and plans with reference to conventions and describe the effects of changes in latitude and longitude.S 5.2 (Q 1, 2)Students interpret maps and globes referring to latitude and longitude, interpret and describe plans that use scale.

Maps, bearings and plans (page 565)

WE 8a-c, 9, 10, 11a-b, 12a-c, 13a-c

Ex 12C Maps, bearings and plans (page 573)


Enrichment task: The Bicentennial symbol (page 576)

Investigation: Our national capital (page 577)

Enrichment task: Suncorp Stadium (page 579)

SkillSHEET 12.3: Angles around a circle (as in a compass) (page 573)




Cabri geometry: True bearings (page 567)

Cabri geometry: True bearings (page 573)

Excel: Compass true bearings (page 575)

S 4.2 (Q 5a, b, 7, 9, 11, 13)Students interpret maps and plans with reference to conventions and describe movements using compass points and distance.S 5.2 (Q 1-4, 5c, 6, 8, 10-12)Students interpret and describe maps and plans that use scale and describe


movements using compass bearings and distance.



Topic tests (2)

chapter 1 · web view1.5: multiplying whole numbers 1.6: dividing whole numbers 1.7: order of...

Documents