Chapter 1



Chapter 1 Whole numbers Suggested time: 4 weeks

Strand: Number

Topics: Number concepts, Addition and subtraction, Multiplication and division

|Section |GC tips, Investigations, Enrichment |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |tasks, History of mathematics, Maths |games, |(CD–ROM) | |

| |Quest challenge, 10 Quick Questions, Code|Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 16) | |SkillSHEETs (page 16) | |N 2.2 |

| | |1.1: Ascending and descending order | |Students identify and solve addition and |

| | |1.2: Place value | |subtraction problems involving whole |

| | |1.3: Adding and subtracting whole numbers| |numbers. |

| | |less than 20 | |N 3.1 |

| | |1.5: Multiplying whole numbers | |Students compare, order and represent |

| | |1.6: Dividing whole numbers | |whole numbers to 9999. |

| | |1.7: Order of operations 1 | |N 4.3 |

| | |1.8: Rounding to the first (leading) | |Students identify and solve |

| | |digit | |multiplication and division problems |

| | |1.10: Finding the square root of a number| |using a range of computation methods and |

| | |1.12: Multiples | |strategies |

| | |1.13: Factor pairs | | |

|The need for numbers (page 17) |Maths Quest challenge Q1-2 (page 18) |SkillSHEET 1.1: Ascending and descending | |N 4.1 (Q 1-4) |

|WE 1 |Investigation: Number systems of the past|order (page 18) | |Students compare and order whole numbers |

|Ex 1A The need for numbers (page 18) |(page 19) | | |of any size. |

| |History of mathematics: The Abacus | | | |

| |(page 20) | | | |

|Place value (page 21) |Investigation: Numbers as identifiers |SkillSHEET 1.2: Place value (page 22) | |N 4.1 (Q 1-9) |

|WE 2a-b, 3 |(page 23) | | |Students compare and order whole numbers |

|Ex 1B Place value (page 22) | | | |of any size. |

|Adding and subtracting whole numbers |Enrichment task: Consecutive whole |SkillSHEET 1.3: Adding and subtracting |Mathcad: Adding numbers (page 26) |N 4.2 (Q 1-17) |

|(page 23) |numbers (page 25) |whole numbers less than 20 (page 23) |Excel: Adding numbers (page 26) |Students identify and solve addition and |

|WE 4, 5a-b |Maths Quest challenge Q1-3 (page 28) | |Mathcad: Subtracting numbers (page 27) |subtraction problems involving any whole |

|Ex 1C Adding and subtracting whole | | |Excel: Subtracting numbers (page 27) |numbers, selecting from a range of |

|numbers (page 26) | | | |computation methods, strategies and known|

| | | | |number facts. |

|Multiplying whole numbers (page 29) |Enrichment task: Going dotty with dice |SkillSHEET 1.4: Times tables (page 29) |Mathcad: Multiplying numbers (page 31) |N 4.3 (Q 1-22) |

|WE 6, 7, 8, 9 |(page 33) |SkillSHEET 1.5: Multiplying whole numbers|Excel: Multiplying numbers (page 31) |Students identify and solve |

|Ex 1D Multiplying whole numbers (page 31)| |(page 31) |Excel: Tangle tables (page 31) |multiplication problems involving whole |

| | | |GC program – Casio: Tables (page 31) |numbers, selecting from a range of |

| | | |GC program – TI: Tables (page 31) |computation methods, strategies and known|

| | | | |number facts. |

|Dividing whole numbers (page 34) |Maths Quest challenge Q1-2 (page 38) |SkillSHEET 1.6: Dividing whole numbers |Excel: Dividing numbers (page 36) |N 4.3 (Q 1-16) |

|WE 10, 11, 12 | |(page 36) |Mathcad: Dividing numbers (page 36) |Students identify and solve division |

|Ex 1E Dividing whole numbers (page 36) | |Game time 001 (page 37) |Excel: Four operations (DIY) (page 36) |problems involving whole numbers, |

| | |WorkSHEET 1.1 (page 37) | |selecting from a range of computation |

| | | | |methods, strategies and known number |

| | | | |facts. |

|Order of operations (page 38) |GC tip– Casio: Order of operations (page |SkillSHEET 1.7: Order of operations I |Mathcad: Order of |N 4.2 (Q 1-6) |

|WE 13 |39) |(page 39) |operations (page 39) |Students identify and solve addition and |

|Ex 1F Order of operations (page 39) |GC tip– TI: Order of operations (page 39)| |Excel: The four operations (page 39) |subtraction problems involving any whole |

| |Investigation: Darts competition (page | | |numbers, selecting from a range of |

| |40) | | |computation methods, strategies and known|

| |Code puzzle (page 41) | | |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) |Investigation: Estimating (page 46) |SkillSHEET 1.8: Rounding to the first |Mathcad: Estimation (page 43) |N 4.1 (Q 2-5) |

|WE 14 |10 Quick Questions 1 (page 48) |(leading) digit (page 43) |Excel: The four operations (page 43) |Students compare and order whole numbers |

|Ex 1G Estimation (page 43) | | | |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) |GC tip – Casio: Calculating the square |SkillSHEET 1.9: Finding the square of a |GC program – TI: Palindromes (page 53) |N 4.1 (Q 1-5, 13-20) |

|WE 15, 16, 17a-b, 18, 19 |of a number (page 49) |number (page 53) |Excel: Palindromes (page 53) |Students compare and order whole numbers |

|Ex 1H Subsets of numbers (page 53) |GC tip – TI: Calculating the square of a|SkillSHEET 1.10: Finding the square root |Mathcad: Squares |of any size. |

| |number (page 50) |of a number (page 53) |(page 53) |N 5.1 (Q 6-12, 21, 22) |

| |GC tip – Casio: Calculating the square |SkillSHEET 1.11: Order of operations I |Mathcad: Square roots (page 54) |Students compare and order integers, use |

| |root of a number (page 50) |(page 54) |Excel: Fibonacci numbers (page 54) |and interpret index notation. |

| |GC tip – TI: Calculating the square root |WorkSHEET 1.2 (page 55) |Excel: Palindromes (page 55) | |

| |of a number (page 51) | | | |

| |Maths Quest challenge Q1-3 (page 56) | | | |

| |Enrichment task: Book numbers (page 56) | | | |

|Index notation (page 56) |Maths Quest challenge Q1-2 (page 58) | |Mathcad: Index notation (page 57) |N 5.1 (Q 1-12) |

|WE 20a-b, 21 | | | |Students compare and order integers, use |

|Ex 1I Index notation (page 57) | | | |and interpret index notation. |

|Multiples and factors (page 58) |Maths Quest challenge Q1-3 (page 65) |SkillSHEET 1.12: Multiples (page 61) |Mathcad: Multiples (page 61) |N 3.1 (Q 1-19) |

|WE 22, 23, 24, 25, 26 |Investigation: How many tiles? (page 65) |SkillSHEET 1.13: Factor pairs (page 62) |Mathcad: Factors (page 62) |Students compare, order and represent |

|Ex 1J Multiples and factors (page 61) | |Game time 002 (page 64) | |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) |Investigation: The sieve of Eratosthenes |SkillSHEET 1.14: Even and odd numbers |Excel: Sieve of Eratosthenese (page 66) |N 4.1 (Q 1-13) |

|WE 27, 28a-c, 29a-b |(page 66) |(page 69) |Mathcad: Prime numbers (page 69) |Students compare and order whole numbers |

|Ex 1K Prime and composite numbers (page |Maths Quest challenge Q1-5 (page 70) |SkillSHEET 1.15: Consecutive numbers |Mathcad: Prime factors (page 69) |of any size. |

|69) |10 Quick Questions 2 (page 71) |(page 69) |GC Program – Casio: Prime factors (page | |

| |Investigation: Finding square roots and |WorkSHEET 1.3 (page 70) |69) | |

| |cube roots without a calculator (page 71)| |GC Program – TI: Prime factors (page 69) | |

| | | |Excel: Prime factors (page 69) | |

|Summary (page 72) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 73) | |(page 76) | | |

| | |Topic tests (2) | | |

Chapter 2 Common fractions Suggested time: 3 weeks

Strand: Number

Topics: Number concepts, Addition and subtraction, Multiplication and division

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 78) | |SkillSHEETs (page 78) | |N 3.1 |

| | |2.1: Types of fractions | |Students compare, order and represent |

| | |2.2: Equivalent fractions I | |whole numbers to 9999 and common |

| | |2.3: Equivalent fractions II | |fractions. |

| | |2.4: Lowest common multiple | |N 4.1 |

| | |2.5: Ordering fractions | |Students compare and order common |

| | |2.6: Highest common factor | |fractions of any size. |

| | |2.7: Converting an improper fraction to a| |N 5.2 |

| | |mixed number | |Students identify and solve addition and |

| | |2.8: Converting a mixed number to an | |subtraction problems involving common |

| | |improper fraction | |fractions. |

| | |2.9: Adding and subtracting fractions | | |

| | |with the same denominator | | |

|Understanding common fractions (page 79) |Maths Quest challenge Q1-2 (page 85) |SkillSHEET 2.1: Types of fractions (page |Mathcad: Lowest common multiple (page 82) |N 4.1 (Q 1-12) |

|WE 1, 2, 3, 4, 5, 6 |Code puzzle (page 86) |83) |GC program – Casio: Lowest common multiple|Students compare and order common |

|Ex 2A Understanding common fractions | |SkillSHEET 2.2: Equivalent fractions I |(page 82) |fractions of any size. |

|(page 83) | |(page 84) |GC program – TI: Lowest common multiple | |

| | |SkillSHEET 2.3: Equivalent fractions II |(page 82) | |

| | |(page 84) |Excel: Equivalent fractions (page 84) | |

| | |SkillSHEET 2.4: Lowest common multiple |Excel: Equivalent fractions (DIY) (page | |

| | |(page 85) |84) | |

| | |SkillSHEET 2.5: Ordering fractions (page |GC program – Casio: Comparing fractions | |

| | |85) |(page 85) | |

| | |Game time 001 (page 85) |GC program – TI: Comparing fractions (page| |

| | | |85) | |

|Simplifying common fractions (page 87) |GC tip - Casio: Simplifying fractions |SkillSHEET 2.6: Highest common factor |Mathcad: Highest common factor (page 87) |N 4.1 (Q 1-6) |

|WE 7, 8 |(page 87) |(page 88) |GC program – Casio: Highest common factor |Students compare and order common |

|Ex 2B Simplifying common fractions |GC tip - TI: Simplifying fractions (page | |(page 87) |fractions of any size. |

|(page 88) |88) | |GC program - TI: Highest common factor | |

| | | |(page 87) | |

| | | |Excel: Simplifying a fraction (page 88) | |

| | | |Mathcad: Simplifying a fraction (page 88) | |

|Improper fractions and mixed numbers |GC tip – Casio: Changing a mixed number |SkillSHEET 2.7: Converting an improper | |N 4.1 (Q 1-15) |

|(page 89) |to an improper fraction (page 90) |fraction to a mixed number (page 91) |Excel: Converting improper fractions to |Students compare and order common |

|WE 9, 10 |GC tip – TI: Changing a mixed number to |SkillSHEET 2.8: Converting a mixed number|mixed numbers (page 92) |fractions of any size. |

|Ex 2C Improper fractions and mixed |an improper fraction (page 91) |to an improper fraction (page 92) |Mathcad: Converting improper fractions to | |

|numbers (page 91) |10 Quick Questions 1 (page 94) |WorkSHEET 2.1 (page 93) |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 |GC tip - Casio: Adding and subtracting |SkillSHEET 2.9: Adding and subtracting |Excel: Adding and subtracting fractions |N 5.2 (Q 1-20) |

|(page 94) |fractions (page 96) |fractions with the same denominator (page|(page 97) |Students identify and solve addition and |

|WE 11, 12, 13, 14 |GC tip - TI: Adding and subtracting |97) |Mathcad: Adding fractions (page 97) |subtraction problems involving common |

|Ex 2D Adding and subtracting common |fractions (page 96) |SkillSHEET 2.10: Lowest common multiple |Mathcad: Subtracting fractions (page 97) |fractions using a range of computation |

|fractions (page 97) |Maths Quest challenge Q1-4 (page 99) |(page 97) |Mathcad: Adding and subtracting fractions |methods and strategies. |

| |Investigation: Egyptian fractions (page | |(page 98) | |

| |100) | | | |

|Multiplying common fractions (page 101) |Enrichment task: Musical fractions (page |Game time 002 (page 106) |Mathcad: Multiplying fractions (page 104) |N 4.3 (Q 1-4, 7) |

|WE 15, 16, 17, 18, 19, 20 |106) | |Excel: Multiplying fractions (page 104) |Students identify and solve |

|Ex 2E Multiplying common fractions | | |Mathcad: Fraction of a number (page 105) |multiplication problems involving common |

|(page 104) | | | |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) |GC tip – Casio: Dividing a fraction by a |WorkSHEET 2.2 (page 111) |Mathcad: Reciprocals (page 110) |N 4.3 (Q 1-5) |

|WE 21, 22, 23, 24 |fraction (page 109) | |Mathcad: Dividing fractions (page 110) |Students identify and solve division |

|Ex 2F Dividing common fractions (page |GC tip – TI: Dividing a fraction by a | |Excel: Dividing fractions (page 110) |problems involving common fractions, |

|110) |fraction (page 109) | | |selecting from a range of computation |

| |Enrichment task: Averages and fractions | | |methods, strategies and known number |

| |(page 111) | | |facts. |

| |10 Quick Questions 2 (page 111) | | |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 |GC tip - Casio: Mixed operations with | |Mathcad: Mixed operations (page 113) |N 5.2 (Q 1-3) |

|(page 112) |fractions (page 112) | |Excel: Four operations with fractions |Students identify and solve addition and |

|WE 25 |GC tip - TI: Mixed operations with | |(page 113) |subtraction problems involving common |

|Ex 2G Mixed operations with common |fractions (page 112) | |GC program – TI: Mixed operations (page |fractions using a range of computation |

|fractions (page 113) |Maths Quest challenge Q1-5 (page 113) | |113) |methods and strategies. |

| |Investigation: You want more pizza? (page| | |N 5.3 (Q 1-3) |

| |114) | | |Students identify and solve |

| | | | |multiplication and division problems |

| | | | |involving common fractions using a range |

| | | | |of computation methods and strategies. |

|Rates (page 114) | |WorkSHEET 2.3 (page 117) | |N 4.3 (Q 1-17) |

|WE 26, 27 | | | |Students identify and solve |

|Ex 2H Rates (page 115) | | | |multiplication and division problems |

| | | | |involving whole numbers, common fractions|

| | | | |and rates, selecting from a range of |

| | | | |computation methods, strategies and known|

| | | | |number facts. |

|Summary (page 118) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 119) | | | | |

| | |(page 120) | | |

| | |Topic tests (2) | | |

Chapter 3 Decimal fractions Suggested time: 4 weeks

Strand: Number

Topics: Number concepts, Addition and subtraction, Multiplication and division

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 122) | |SkillSHEETs (page 122) | |N 3.1 |

| | |3.1: Writing decimal fractions | |Students compare, order and represent |

| | |3.2: Comparing decimal fractions | |decimal fractions. |

| | |3.4: Rounding to the nearest whole number| |N 3.2 |

| | |3.5: Adding decimal fractions with the | |Students identify and solve addition and |

| | |same number of decimal places | |subtraction problems involving decimal |

| | |3.6: Adding decimal fractions with the | |fractions. |

| | |same number of decimal places | |N 3.3 |

| | |3.7: Subtracting decimal fractions with | |Students identify and solve |

| | |the same number of decimal places | |multiplication and division problems |

| | |3.8: Subtracting decimal fractions with a| |involving decimal fractions. |

| | |different number of decimal places | |N 4.2 |

| | |3.9: Multiplying decimal fractions by a | |Students identify and solve addition and |

| | |single-digit number | |subtraction problems involving decimal |

| | |3.10: Multiplying decimal fractions by | |fractions, selecting from a range of |

| | |10, 100 or 1000 | |computation methods, strategies and known|

| | |3.12: Dividing decimal fractions by a | |number facts. |

| | |single-digit number | |N 4.3 |

| | |3.13: Dividing decimal fractions by 10, | |Students identify and solve |

| | |100 or 1000 | |multiplication and division problems |

| | | | |involving decimal fractions selecting |

| | | | |from a range of computation methods, |

| | | | |strategies and known number facts. |

| | | | | |

|Place value (page 123) | |SkillSHEET 3.1: Writing decimal fractions| |N 4.1 (Q 1-13) |

|WE 1a-c, 2, 3 | |(page 125) | |Students compare and order decimal |

|Ex 3A Place value (page 125) | | | |fractions of any size. |

|Comparing decimal fractions (page 126) |Investigation: The javelin event (page |SkillSHEET 3.2: Comparing decimal | |N 4.1 (Q 1-5) |

|WE 4a-c, 5a-b |129) |fractions (page 128) | |Students compare and order decimal |

|Ex 3B Comparing decimal fractions (page | | | |fractions of any size. |

|128) | | | | |

|Converting decimal fractions to common | |SkillSHEET 3.3: Simplifying fractions |Excel: Converting decimals to fractions |N 4.1 (Q 1-5) |

|fractions (page 129) | |(with denominators that are powers of 10)|(page 131) |Students compare and order decimal |

|WE 6a-d, 7 | |(page 131) |Mathcad: Converting decimals to fractions |fractions of any size. |

|Ex 3C Converting decimal fractions to | | |(page 131) | |

|common fractions (page 131) | | | | |

|Rounding (page 131) |10 Quick Questions 1 (page 135) |SkillSHEET 3.4: Rounding to the nearest |Excel: Rounding (page 134) |N 4.1 (Q 1-11) |

|WE 8a-b, 9a-b, 10, 11 | |whole number (page 134) |Excel: Rounding (DIY) (page 134) |Students compare and order decimal |

|Ex 3D Rounding (page 134) | |WorkSHEET 3.1 (page 135) | |fractions of any size. |

|Adding and subtracting decimal fractions |Investigation: Palindromic decimals (page|SkillSHEET 3.5: Adding decimal fractions |Excel: Adding decimals (page 137) |N 4.2 (Q 1-16) |

|(page 135) |139) |with the same number of decimal places |Mathcad: Adding decimals (page 137) |Students identify and solve addition and |

|WE 12, 13a-b | |(page 137) |Excel: Adding decimals (DIY) (page 137) |subtraction problems involving any |

|Ex 3E Adding and subtracting decimal | |SkillSHEET 3.6: Adding decimal fractions |Mathcad: Subtracting decimals (page 138) |decimal fractions, selecting from a range|

|fractions (page 137) | |with a different number of decimal places|Excel: Subtracting decimals (page 138) |of computation methods, strategies and |

| | |(page 137) | |known number facts. |

| | |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) | | |

| | |Game time 001 (page 139) | | |

|Multiplying decimal fractions (page 140) |Maths Quest challenge Q1-5 (page 144) |SkillSHEET 3.9: Multiplying decimal |Mathcad: Multiplying decimals by a whole |N 4.3 (Q 1-20) |

|WE 14a-c | |fractions by a single-digit number (page |number (page 141) |Students identify and solve |

|Ex 3F Multiplying decimal fractions (page| |141) |Mathcad: Multiplying decimal fractions |multiplication problems involving decimal|

|141) | |SkillSHEET 3.10: Multiplying decimal |(page 142) |fractions, selecting from a range of |

| | |fractions by 10, 100 or 1000 (page 141) |Excel: Multiplying decimal fractions (page|computation methods, strategies and known|

| | |SkillSHEET 3.11: Multiplying decimal |142) |number facts. |

| | |fractions I (page 142) | | |

|Dividing decimal fractions (page 144) |10 Quick Questions 2 (page 147) |SkillSHEET 3.12: Dividing decimal |Mathcad: Dividing decimals by whole |N 4.3 (Q 1-14) |

|WE 15, 16a-b | |fractions by a single-digit number (page |numbers (page 145) |Students identify and solve division |

|Ex 3G Dividing decimal fractions (page | |145) | |problems involving decimal fractions, |

|145) | |SkillSHEET 3.13: Dividing decimal | |selecting from a range of computation |

| | |fractions by 10, 100 or 1000 (page 145) | |methods, strategies and known number |

| | |Game time 002 (page 147) | |facts. |

| | |WorkSHEET 3.2 (page 147) | | |

|Converting common fractions to decimal |Enrichment task: Common fractions to | |GC program – Casio: Converting fractions |N 4.3 (Q 1-4) |

|fractions (page 148) |decimal fractions (page 150) | |to decimals (page 149) |Students identify and solve division |

|WE 17a-b, 18 | | |GC program - TI: Converting fractions to |problems involving decimal fractions, |

|Ex 3H Converting common fractions to | | |decimals (page 149) |selecting from a range of computation |

|decimal fractions (page 149) | | |Excel: Converting fractions to decimals |methods, strategies and known number |

| | | |(page 149) |facts. |

| | | |Mathcad: Converting fractions to decimals | |

| | | |(page 149) | |

|Percentages (page 151) |Code puzzle (page 156) |SkillSHEET 3.14: Multiplying fractions by|Excel: Converting fractions to percentages|N 5.3 (Q 1-16) |

|WE 19, 20, 21, 22a-b, 23 | |100 (page 154) |(page 154) |Students identify and solve |

|Ex 3I Percentages (page 154) | | |Excel: Converting decimals to percentages |multiplication and division problems |

| | | |(page 154) |involving percentages using a range of |

| | | |Excel: Converting percentages to fractions|computation methods and strategies. |

| | | |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) | |

|Money (page 157) |Investigation: Sale time – spending time!|WorkSHEET 3.3 (page 159) |Excel: Calculating percentages (page 158) |N 4.1 (Q 1-13) |

|WE 24 |(page 160) | |Mathcad: Calculating percentages (page |Students compare and order whole numbers |

|Ex 3J Money (page 158) | | |158) |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. |

|Summary (page 161) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 162) | | | | |

| | |(page 164) | | |

| | |Topic tests (2) | | |

Chapter 4 Positive and negative numbers Suggested time: 4 weeks

Strand: Number

Topics: Number concepts, Addition and subtraction, Multiplication and division

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 166) | |SkillSHEETs(page 166) | |N 3.1 |

| | |4.1: Using < or > to compare the size of | |Students compare, order and represent |

| | |numbers | |whole numbers to 9999. |

| | |4.2: Ascending and descending order | |N 4.1 |

| | |4.3: Marking numbers on a number line | |Students compare and order whole numbers |

| | |4.4: Working with numbers on a number | |(square and cubic notation) |

| | |line | |N 4.2 |

| | |4.5: Evaluating squares, cubes and cube | |Students identify and solve addition and |

| | |roots | |subtraction problems involving any whole |

| | |4.6: Order of operations II | |numbers, selecting from a range of |

| | | | |computation methods, strategies and known|

| | | | |number facts. |

| | | | |N 4.3 |

| | | | |Students 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) |Investigation: Comparing temperatures |SkillSHEET 4.1: Using < or > to compare |Mathcad: Greater than or less than (page |N 4.1 (Q 1) |

|WE 1a-b, 2a-d, 3a-d |(page 171) |the size of numbers (page 170) |170) |Students compare and order whole numbers |

|Ex 4A Integers on the number line (page | |SkillSHEET 4.2: Ascending and descending |Excel: The number line (page 170) |of any size. |

|170) | |order (page 170) | |N 5.1 (Q 2-12) |

| | |SkillSHEET 4.3: Marking numbers on a | |Students compare and order integers. |

| | |number line (page 170) | | |

| | |SkillSHEET 4.4: Working with numbers on a| | |

| | |number line (page 170) | | |

|Positive integers and zero on the number |Maths Quest challenge (page 173) | |Mathcad: Number plane (positive axis) |N 4.1 (Q 1-4) |

|plane (page 172) | | |(page 173) |Students compare and order whole numbers |

|WE 4a-b, 5a-b | | | |of any size. |

|Ex 4B Positive integers and zero on the | | | | |

|number plane (page 173) | | | | |

|Integers on the number plane (page 174) |10 Quick Questions 1 (page 176) |WorkSHEET 4.1 (page 176) |Mathcad: Number plane (page 175) |N 5.1 (Q 1-12) |

|WE 6a-b | | | |Students compare and order integers. |

|Ex 4C Integers on the number plane | | | | |

|(page 175) | | | | |

|Addition of integers (page 177) |Code puzzle (page 181) | |Mathcad: Addition and subtraction of |N 6.2 (Q 1-11) |

|WE 7a-b | | |integers (page 178) |Students identify and solve addition |

|Ex 4D Addition of integers (page 178) | | |Excel: Addition of integers (page 179) |problems involving rational numbers using|

| | | | |a range of computation methods and |

| | | | |strategies. |

|Subtraction of integers (page 182) |GC tip – Casio: Entering a negative | |Mathcad: Addition and subtraction of |N 6.2 (Q 1-9) |

|WE 8a-d, 9 |number (page 183) | |integers (page 184) |Students identify and solve subtraction |

|Ex 4E Subtraction of integers (page 184) |GC tip – TI: Entering a negative number | |Excel: Subtraction of integers (page 184) |problems involving rational numbers using|

| |(page 183) | | |a range of computation methods and |

| | | | |strategies. |

|Multiplication of integers (page 185) |Investigation: Movies (page 185) |SkillSHEET 4.5: Evaluating squares, cubes|Mathcad: Multiplication of integers (page |N 6.3 (Q 1-8) |

|WE 10a-e |Investigation: Number pattern table (page|and cube roots (page 187) |187) |Students identify and solve |

|Ex 4F Multiplication of integers (page |186) |Game time 001 (page 187) |Excel: Multiplication of integers (page |multiplication problems involving |

|187) | | |187) |rational numbers, using a range of |

| | | | |computation methods and strategies. |

|Division of integers (page 188) |GC tip – Casio: Division with negative | |Mathcad: Division of integers (page 190) |N 6.3 (Q 1-5) |

|WE 11a-c, 12a-b |numbers (page 189) | |Excel: Division of integers (page 190) |Students identify and solve division |

|Ex 4G Division of integers (page 190) |GC tip – TI: Division with negative | | |problems involving rational numbers, |

| |numbers (page 189) | | |using a range of computation methods and |

| |Maths Quest challenge Q1-2 (page 190) | | |strategies. |

| |Investigation: Mountain climbing (page | | | |

| |191) | | | |

|Combined operations (page 191) |GC tip – Casio: Finding the square of a |SkillSHEET 4.6: Order of operations II |Mathcad: Combined operations (page 193) | N 6.2 (Q 1-4) |

|WE 13 |number (page 192) |(page 193) | |Students identify and solve addition and |

|Ex 4H Combined operations (page 193) |GC tip – TI: Finding the square of a |Game time 002 (page 193) | |subtraction problems involving rational |

| |number (page 192) |WorkSHEET 4.2 (page 193) | |numbers using a range of computation |

| |Investigation: Wet or dry reunion? (page | | |methods and strategies. |

| |194) | | |N 6.3 (Q 1-4) |

| |10 Quick Questions 2 (page 194) | | |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| | |Mathcad: Directed numbers on the number |N 5.1 (Q 1-4) |

|195) | | |line (page 196) |Students compare and order integers. |

|WE 14a-c | | | | |

|Ex 4I Directed numbers on the number line| | | | |

|(page 195) | | | | |

|Directed numbers on the number plane |Enrichment task: Tangrams on number |WorkSHEET 4.3 (page 197) |Mathcad: Directed numbers on the number |N 5.1 (Q 1-11) |

|(page 196) |planes (page 197) | |plane (page 196) |Students compare and order integers. |

|Ex 4J Directed numbers on the number | | | | |

|plane (page 196) | | | | |

|Summary (page 198) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 199) | | | | |

| | |(page 200) | | |

| | |Topic tests (2) | | |

Chapter 5 Patterns and functions Suggested time: 4 weeks

Strand: Patterns and algebra

Topic: Patterns and function, Equivalence and equations

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 202) | |SkillSHEETs (page 202) | |PA 3.1 |

| | |5.1: Number patterns | |Students create and continue number |

| | |5.3: Using tables to show number patterns| |patterns, identify, describe and |

| | |5.4: Describing a number pattern from a | |represent relationships between two |

| | |table | |quantities. |

| | |5.6: Order of operations I | |PA 3.2 |

| | |5.7: Order of operations with brackets | |Students represent and describe |

| | |5.8: Alternative expressions used to | |equivalence in equations that involve |

| | |describe the four operations | |combinations of multiplication and |

| | |5.10: Simplifying fractions | |division or addition and subtraction. |

| | | | |N 4.1 |

| | | | |Students compare and order common |

| | | | |fractions (simplifying) |

| | | | |N 4.2 |

| | | | |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 |

| | | | |Students 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) | |SkillSHEET 5.1: Number patterns (page | |PA 4.1 (Q 1-5) |

|WE 1a-b, 2a-b, 3 | |204) | |Students identify and create |

|Ex 5A Number patterns (page 204) | |SkillSHEET 5.2: Worded operations (page | |representations of patterns and |

| | |204) | |functions. |

|Geometric patterns (page 205) |Code puzzle (page 207) |SkillSHEET 5.3: Using tables to show | |PA 4.1 (Q 1-4) |

|WE 4a-d |Enrichment task: Even number triangle |number patterns (page 208) | |Students identify and create |

|Ex 5B Geometric patterns (page 208) |(page 208) |SkillSHEET 5.4: Describing a number | |representations of patterns and |

| | |pattern from a table (page 208) | |functions. |

|Graphing number patterns and geometric | | | |PA 5.1 (Q 1-11) |

|patterns (page 209) | | | |Students interpret and compare different |

|WE 5a-c, 6a-c, 7a-b, 8a-b | | | |representations of linear and simple |

|Ex 5C Graphing number patterns and | | | |non-linear functions and solve the |

|geometric patterns (page 214) | | | |related problems. |

|Writing and finding formulas (page 215) |Enrichment task: Predicting values (page |WorkSHEET 5.1 (page 220) |GC program – Casio: Finding the formula |PA 5.1 (Q 1-12) |

|WE 9a-c, 10, 11 |221) | |(page 218) |Students interpret and compare different |

|Ex 5D Writing and finding formulas (page | | |GC program – TI: Finding the formula (page|representations of linear functions. |

|218) | | |218) | |

|Using formulas (page 221) |Investigation: ‘Rules of thumb’ (page |SkillSHEET 5.5: Substitution into rules |Excel: Substitution (page 224) |PA 5.1 (Q 1-3) |

|WE 12a-b, 13, 14 |224) |(page 223) |Mathcad: Substitution (page 224) |Students interpret and compare different |

|Ex 5E Using formulas (page 223) |Enrichment task: Nutrition panels (page |SkillSHEET 5.6: Order of operations I |Excel: Substitution game (page 224) |representations of linear and simple |

| |225) |(page 223) | |non-linear functions and solve the |

| | |SkillSHEET 5.7: Order of operations with | |related problems. |

| | |brackets (page 223) | | |

|Problem solving using algebra (page 227) |Investigation: How high will it grow? | |GC program – Casio: Finding the formula |PA 5.1 (Q 1-7) |

|WE 15 |(page 231) | |(page 228) |Students interpret and compare different |

|Ex 5F Problem solving using algebra |10 Quick Questions 1 (page 232) | |GC program – TI: Finding the formula (page|representations of linear and simple |

|(page 228) | | |228) |non-linear functions and solve the |

| | | |Excel: Substitution (page 228) |related problems. |

| | | |Mathcad: Substitution (page 228) | |

|Terms, expressions and equations (page |Maths Quest challenge Q1-3 (page 236) |SkillSHEET 5.8: Alternative expressions | |PA 5.1 (Q 1-5) |

|232) | |used to describe the four operations | |Students interpret and compare different |

|WE 16, 17a-e, 18a-d | |(page 235) | |representations of linear and simple |

|Ex 5G Terms, expressions and equations | |WorkSHEET 5.2 (page 236) | |non-linear functions and solve the |

|(page 235) | | | |related problems. |

|Simplifying expressions (page 237) | |SkillSHEET 5.9: Combining like terms |Mathcad: Simplifying expressions (page |PA 6.2 (Q 1-6) |

|WE 19a-c | |(page 238) |238) |Students interpret and solve mathematical|

|Ex 5H Simplifying expressions (page 238) | |Game time 001 (page 238) | |models using algebraic methods |

|Multiplying and dividing pronumerals |10 Quick Questions 2 (page 242) |SkillSHEET 5.10: Simplifying fractions | |PA 5.2 (Q 1-6) |

|(page 239) | |(page 241) | |Students interpret and solve problems |

|WE 20a-c, 21a-b, 22 | | | |using algebraic methods |

|Ex 5I Multiplying and dividing | | | | |

|pronumerals (page 241) | | | | |

|Expanding and simplifying (page 243) | |Game time 001 (page 244) |Mathcad: Expanding brackets (page 244) |PA6.2 (Q 1-3) |

|WE 23a-b, 24a-b | |WorkSHEET 4.3 (page 244) |Excel: Expanding brackets (page 244) |Students interpret and solve mathematical|

|Ex 5J Expanding and simplifying (page | | |GC program – Casio: Expanding (page 244) |models using algebraic methods |

|244) | | |GC program - TI: Expanding (page 244) | |

|Summary (page 245) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 246) | | | | |

| | |(page 248) | | |

| | |Topic tests (2) | | |

Chapter 6 Equivalence and equations Suggested time: 3 weeks

Strand: Patterns and algebra

Topics: Patterns and functions; Equivalence and equations

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 250) | |SkillSHEETs (page 250) | |PA 3.1 |

| | |6.1: Completing number sentences | |Students create and continue number |

| | |6.2: Writing number sentences from | |patterns, identify, describe and |

| | |written information | |represent relationships between two |

| | |6.4: Applying the four operations | |quantities. |

| | |6.6: Inverse operations | |PA 3.2 |

| | |6.8: Combining like terms | |Students represent and describe |

| | |6.9: Checking solutions by substitution | |equivalence in equations that involve |

| | | | |combinations of multiplication and |

| | | | |division or addition and subtraction. |

| | | | |PA 6.2 |

| | | | |Students interpret and solve problems |

| | | | |using algebraic methods |

| | | | |N 3.2 |

| | | | |Students solve addition and subtraction |

| | | | |problems involving whole numbers. |

| | | | |N 3.3 |

| | | | |Students solve multiplication and |

| | | | |division problems involving whole |

| | | | |numbers. |

|Using inverse operations (page 251) | |SkillSHEET 6.1: Completing number |Excel: Backtracking (page 255) |PA 4.1 (Q 3-6) |

|WE 1a-b, 2a-b, 3 | |sentences (page 253) | |Students identify and create |

|Ex 6A Using inverse operations (page 253)| |SkillSHEET 6.2: Writing number sentences | |representations of patterns and functions|

| | |from written information (page 253) | |and apply backtracking to solve simple |

| | |SkillSHEET 6.3: Solving equations by | |equations that involve combinations of |

| | |inspection (page 254) | |the four operations. |

| | |SkillSHEET 6.4: Applying the four | |PA 4.2 (Q 1, 2) |

| | |operations (page 254) | |Students create and interpret equations, |

| | |SkillSHEET 6.5: Flow charts (page 254) | |explain the effect of order of |

| | |SkillSHEET 6.6: Inverse operations (page | |operations, and justify solutions to |

| | |255) | |equations |

| | |Game time 001 (page 255) | | |

|Building up expressions (page 256) |History of mathematics: Robert Recorde |SkillSHEET 6.7: Building expressions | |PA 4.1 (Q 1-3) |

|WE 4a-b, 5 |(page 260) |(page 258) | |Students identify and create |

|Ex 6B Building up expressions (page 258) | | | |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 |Enrichment task: Mystical powers (page |SkillSHEET 6.8: Combining like terms |Excel: Backtracking (page 263) |PA 4.1 (Q 1-5) |

|(page 261) |265) |(page 264) |Mathcad: Solving equations (page 264) |Students identify and create |

|WE 6, 7a-b, 8 |Code puzzle (page 266) |WorkSHEET 6.1 (page 264) |GC program – Casio: Solving equations |representations of patterns and functions|

|Ex 6C Solving equations using |10 Quick Questions 1 (page 267) | |(page 264) |and apply backtracking to solve simple |

|backtracking (page 263) | | |GC program – TI: Solving equations (page |equations that involve combinations of |

| | | |264) |the four operations. |

| | | |Excel: Solving equations (page 264) |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) |Maths Quest challenge Q1-4 (page 273) |SkillSHEET 6.9: Checking solutions by |Mathcad: Substitution (page 271) |PA 4.2 (Q 1-3, 6) |

|WE 9a-b, 10a-b, 11 | |substitution (page 271) |Excel: Substitution (page 271) |Students create and interpret equations, |

|Ex 6D Checking solutions (page 271) | | |Excel: Solving equations (page 272) |explain the effect of order of |

| | | |Mathcad: Guess and check (page 272) |operations, and justify solutions to |

| | | |GC program – Casio: Solving equations |equations |

| | | |(page 272) |PA 5.2 (Q 4, 5, 7, 8) |

| | | |GC program – TI: Solving equations (page |Students interpret and solve linear |

| | | |272) |equations related to realistic problems |

| | | | |using algebraic methods. |

|Keeping equations balanced (page 273) |Maths Quest challenge Q1-2 (page 276) |Game time 002 (page 275) | |PA 5.2 (Q 1-9) |

|WE 12a-c |10 Quick Questions 2 (page 276) |WorkSHEET 6.2 (page 275) | |Students interpret and solve linear |

|Ex 6E Keeping equations balanced (page |Enrichment task: Mobiles (page 277) | | |equations related to realistic problems |

|274) |Enrichment task: Number game (page 277) | | |using algebraic methods. |

|Doing the same to both sides (page 278) | | |Mathcad: Doing the same to both sides |PA 5.2 (Q 1-8) |

|WE 13a-b, 14a-b | | |(page 280) |Students interpret and solve linear |

|Ex 6F Doing the same to both sides (page | | |Excel: 2-step equations (page 280) |equations related to realistic problems |

|280) | | |Mathcad: Solving equations (page 280) |using algebraic methods |

| | | |GC program – Casio: Solving equations | |

| | | |(page 281) | |

| | | |GC program – TI: Solving equations (page | |

| | | |281) | |

| | | |Excel: 3-step equations (page 281) | |

|Solving word problems (page 281) |Investigation: Kids’ hotline walk-a-thon |SkillSHEET 6.10: Finding an average |Mathcad: Solving equations (page 284) |PA 5.2 (Q 1-21) |

|WE 15a-c, 16, 17 |(page 286) |(page 283) |GC program – Casio: Solving equations |Students interpret and solve linear |

|Ex 6G Solving word problems (page 283) | |SkillSHEET 6.11: Consecutive numbers |(page 284) |equations related to realistic problems |

| | |(page 284) |GC program – TI: Solving equations |using algebraic methods. |

| | |WorkSHEET 6.3 (page 285) |(page 284) | |

| | | |Excel: Solving equations (page 284) | |

| | | | | |

|Summary (page 287) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 288) | | | | |

| | |(page 290) | | |

| | |Topic tests (2) | | |

Chapter 7 Length, area and volume Suggested time: 4 weeks

Strand: Measurement

Topic: Length, mass, area and volume

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 292) | |SkillSHEETs(page 292) | |M 3.1 |

| | |7.1: Metric units of length | |Students identify and use equivalent |

| | |7.2: Reading scales (how much is each | |forms of standard units when measuring, |

| | |interval worth?) | |comparing and ordering. |

| | |7.3: Measuring the length of a line | |M 4.1 |

| | |7.4: Relationship between unit size and | |Students choose appropriate units when |

| | |the number of units used | |estimating and measuring lengths. |

| | |7.9: Perimeter | | |

| | |7.10: Area units | | |

| | |7.11: Area of figures drawn on centimetre| | |

| | |grid paper | | |

| | |7.16: Volume of a solid constructed from | | |

| | |cubic-centimetre blocks | | |

|Metric units of length (page 293) |Investigation: Measuring lengths (page |SkillSHEET 7.1: Metric units of length | |M 4.1 (Q 1-14) |

|WE 1, 2 |300) |(page 295) | |Students choose appropriate units when |

|Ex 7A Metric units of length (page 295) | |SkillSHEET 7.2: Reading scales (how much | |estimating and measuring lengths. |

| | |is each interval worth?) (page 297) | | |

| | |SkillSHEET 7.3: Measuring the length of a| | |

| | |line (page 299) | | |

|Converting units of length (page 300) |Investigation: A metric unit converter |SkillSHEET 7.4: Relationship between unit|Excel: Length conversions (page 302) |M 4.1 (Q 1-23) |

|WE 3a-c |(page 304) |size and the number of units used (page |Mathcad: Converting units (page 302) |Students choose appropriate units when |

|Ex 7B Converting units of length (page |Code puzzle (page 305) |302) |Excel: Length conversions (page 304) |estimating and measuring lengths. |

|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) | | |

|Perimeter (page 306) |Maths Quest challenge: Q1-4 (page 311) |SkillSHEET 7.9: Perimeter (page 307) |Cabri geometry: Perimeter of a rectangle |M 4.1 (Q 1-20) |

|WE 4a-b, 5 |10 Quick Questions 1 (page 311) | |(page 307) |Students choose appropriate units when |

|Ex 7C Perimeter (page 307) |Investigation: Measuring curves (page | |Cabri geometry: Maximise the perimeter |estimating and measuring and explain |

| |312) | |(page 312) |relationships between dimensions when |

| |Investigation: Maximise the perimeter | | |investigating lengths of boundaries of |

| |(page 312) | | |rectangles. |

| |Investigation: Cost of a new fence (page | | | |

| |313) | | | |

|Metric units of area (page 314) |Maths Quest challenge: Q1-5 (page 320) |SkillSHEET 7.10: Area units (page 317) |Mathcad: Converting units of area (page |M 4.1 (Q 1-7, 9-12) |

|WE 6a-b, 7, 8a-c | |SkillSHEET 7.11: Area of figures drawn on|319) |Students choose appropriate units when |

|Ex 7D Metric units of area (page 317) | |centimetre grid paper (page 318) |Excel: Area units converter (page 319) |estimating and measuring and explain |

| | |SkillSHEET 7.12: Multiplying and dividing|Excel: Area units converter (DIY) (page |relationships between dimensions when |

| | |by powers of 10 (page 319) |319) |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 |Investigation: Investigating the area of |SkillSHEET 7.13: Area of rectangles (page|Mathcad: Area of a rectangle (page 324) |M 5.1 (Q 1-22) |

|320) |a rectangle (page 320) |324) |Excel: Area of a rectangle (page 324) |Students develop formulae to calculate |

|WE 9a-b, 10, 11a-b |Maths Quest challenge: Q1-4 (page 329) |SkillSHEET 7.14: Area of triangles (page |Cabri geometry: Area of a rectangle (page |areas where the relationships between |

|Ex 7E Area of rectangles and triangles |Investigation: What area does your hand |325) |324) |dimensions are known and investigate a |

|(page 323) |cover? (page 329) |WorkSHEET 7.2 (page 328) |Cabri geometry: Area of a triangle (page |range of other shapes to explain the |

| |Enrichment task: The size of tangram | |325) |relationships between dimensions. |

| |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) | |

|Area of composite shapes (page 331) |10 Quick Questions 2 (page 334) |Game time 002 (page 333) |Excel: Area (page 332) |M 5.1 (Q 1-10) |

|WE 12 | | |GC program – Casio: Measurement (page 332)|Students develop formulae to calculate |

|Ex 7F Area of composite shapes (page 332)| | |GC program – TI: Measurement (page 332) |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) |Investigation: Volume of a rectangular |SkillSHEET 7.15: Volume units (page 338) |Excel: Volume of a rectangular prism |M 4.1 (Q 1, 2, 13-26) |

|WE 13a-b, 14, 15a-c |prism (page 336) |SkillSHEET 7.16: Volume of a solid |(page 339) |Students choose appropriate units when |

|Ex 7G Volume and capacity (page 338) |Maths Quest challenge: Q1-2 (page 343) |constructed from cubic-centimetre blocks |Mathcad: Volume of a rectangular prism |estimating and measuring and explain |

| |Investigation: Around the house (page |(page 338) |(page 339) |relationships between dimensions when |

| |344) |WorkSHEET 7.3 (page 343) |Excel: Capacity unit conversions (page |investigating volumes of prisms. |

| | | |341) |M 5.1 (Q 3-12, 27-30) |

| | | |Mathcad: Capacity unit conversions (page |Students develop formulae to calculate |

| | | |341) |volumes where the relationships between |

| | | | |dimensions are known. |

|Summary (page 345) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 346) | | | | |

| | |(page 350) | | |

| | |Topic tests (2) | | |

Chapter 8 Time and mass Suggested time: 3 weeks

Strand: Measurement

Topics: Time; Length, mass, area and volume

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 352) | |SkillSHEETs (page 352) | |M 3.2 |

| | |8.1: Reading the time (from analogue | |Students read, record and calculate with |

| | |clocks) | |12-hour time. |

| | |8.2: Comparing times shown on digital and| |M 4.2 |

| | |analogue watches | |Students read, record and calculate with |

| | |8.3: Calculating the time elapsed between| |24-hour time. |

| | |two events | |M 4.1 |

| | |8.4: 24-hour time | |Students choose appropriate units |

| | |8.5: Drawing time lines | |estimating and measuring mass. |

| | |8.6: Mass units | | |

|Time calculations (page 353) |Maths Quest challenge: Q1-3 (page 358) |SkillSHEET 8.1: Reading the time (from |Mathcad: Converting units of time (page |M 3.2 (Q 1-11, 13-15) |

|WE 1, 2, 3a-b, 4a-c | |analogue clocks) (page 356) |357) |Students read, record and calculate with |

|Ex 8A Time calculations (page 356) | |SkillSHEET 8.2: Comparing times shown on |Excel: Time differences (page 357) |12-hour time. |

| | |digital and analogue watches (page 357) | |M 4.2 (Q 12, 16-23) |

| | |SkillSHEET 8.3: Calculating the time | |Students read, record and calculate with |

| | |elapsed between two events (page 357) | |24-hour time and develop timetables and |

| | |Game time 001 (page 358) | |calendars to plan and organise events or |

| | | | |activities. |

|24-hour clock (page 359) |Investigation: Using 24-hour time (page |SkillSHEET 8.4: 24-hour time (page 360) |Mathcad: 12-h/24-h time (page 360) |M 4.2 (Q 1-13) |

|WE 5a-b |362) |Game time 002 (page 361) |Excel: 12-h ( 24-h time (DIY) (page 360) |Students read, record and calculate with |

|Ex 8B 24-hour clock (page 360) |10 Quick Questions 1 (page 362) |WorkSHEET 8.1 (page 361) |Excel: 24-h ( 12-h time (DIY) (page 360) |24-hour time and develop timetables and |

| | | | |calendars to plan and organise events or |

| | | | |activities. |

|The calendar (page 362) |History of mathematics: The calendar | |Excel: Time differences (page 367) |M 4.2 (Q 1-16) |

|WE 6a-b, 7, 8 |(page 364) | |Excel: Leap year calculator (page 368) |Students read, record and calculate with |

|Ex 8C The calendar (page 366) | | |Excel: Leap year calculator (DIY) (page |24-hour time and develop timetables and |

| | | |368) |calendars to plan and organise events or |

| | | | |activities. |

|Time lines (page 369) | |SkillSHEET 8.5: Drawing time lines (page | |M 4.2 (Q 1-11) |

|WE 9 | |370) | |Students read, record and calculate with |

|Ex 8D Time lines (page 370) | | | |24-hour time and develop timetables and |

| | | | |calendars to plan and organise events or |

| | | | |activities. |

|Timetables (page 372) | | | |M 5.2 (Q 1-20) |

|WE 10a-c, 11 | | | |Students interpret and solve realistic |

|Ex 8E Timetables (page 376) | | | |problems related to time management and |

| | | | |time zones within Australia. |

|Time zones and flight schedules (page |Maths Quest challenge: Q1-3 (page 381) |WorkSHEET 8.2 (page 381) |Excel: Time zones (page 377) |M 5.2 (Q 1-23) |

|377) |Investigation: Up, up and away! (page | | |Students interpret and solve realistic |

|WE 12a-b |382) | | |problems related to time management and |

|Ex 8F Time zones and flight schedules |10 Quick Questions 2 (page 382) | | |time zones within Australia. |

|(page 380) | | | | |

|Mass (page 383) |Enrichment task: Estimating length and |SkillSHEET 8.6: Mass units (page 386) |Excel: Converting units of mass (page 386)|M 4.1 (Q 1-17) |

|WE 13, 14, 15 |mass (page 385) |WorkSHEET 8.3 (page 387) |Mathcad: Converting units of mass (page |Students choose appropriate units when |

|Ex 8G Mass (page 386) |Investigation: Comparing mass (page 388) | |386) |estimating and measuring mass. |

| |Code puzzle (page 389) | | | |

|Summary (page 390) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 391) | | | | |

| | |(page 392) | | |

| | |Topic tests (2) | | |

Chapter 9 Chance Suggested time: 3 weeks

Strand: Chance and data

Topic: Chance

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 394) | |SkillSHEETs (page 394) | |CD 3.1 |

| | |9.1: Understanding ‘chance’ words | |Students identify all possible outcomes |

| | |9.2: Comparing the likelihood of | |of familiar situations or actions and, |

| | |different events occurring | |for these sample spaces, order the |

| | |9.3: Describing the chance of an event | |likelihood of occurrence of the |

| | |occurring as more or less than half | |identified outcomes using experimental |

| | |9.4: Listing all possible outcomes for an| |data |

| | |event | | |

| | |9.5: Understanding a standard deck of | | |

| | |playing cards | | |

| | |9.6: Writing a simple probability as a | | |

| | |fraction | | |

|The language of chance (page 395) | |SkillSHEET 9.1: Understanding ‘chance’ | |CD 4.1 (Q 1-7) |

|WE 1a-e, 2a-c | |words (page 398) | |Students analyse experimental data and |

|Ex 9A The language of chance (page 398) | |SkillSHEET 9.2: Comparing the likelihood | |compare numerical results with predicted |

| | |of different events occurring (page 398) | |results to inform judgments about the |

| | |SkillSHEET 9.3: Describing the chance of | |likelihood of particular outcomes. |

| | |an event occurring as more or less than | | |

| | |half (page 399) | | |

|The sample space (page 400) | |SkillSHEET 9.4: Listing all possible | |CD 5.1 (Q 1-7) |

|WE 3, 4 | |outcomes for an event (page 401) | |Students model and determine |

|Ex 9B The sample space (page 401) | |SkillSHEET 9.5: Understanding a standard | |probabilities for single events to |

| | |deck of playing cards (page 401) | |justify statements and decisions. |

| | |WorkSHEET 9.1 (page 401) | | |

|Simple probability (page 402) |Enrichment task: Parachute landing |SkillSHEET 9.6: Writing a simple | |CD 5.1 (Q 1-9) |

|WE 5a-c, 6a-b |(page 406) |probability as a fractions (page 404) | |Students model and determine |

|Ex 9C Simple probability (page 404) |Code puzzle (page 407) |Game time 001 (page 405) | |probabilities for single events to |

| |10 Quick Questions 1 (page 408) | | |justify statements and decisions. |

|Using tables to show sample spaces | |WorkSHEET 9.2 (page 413) | |CD 5.1 (Q 1-10) |

|(page 408) | | | |Students model and determine |

|WE 7a-c | | | |probabilities for single events to |

|Ex 9D Using tables to show sample spaces | | | |justify statements and decisions. |

|(page 411) | | | | |

|Experimenting with chance (page 413) |Maths Quest challenge: Q1-3 (page 419) |SkillSHEET 9.7: Converting a fraction to |Excel: Simulating coin tosses (page 416) |CD 5.1 (Q 1-6) |

|WE 8a-f |10 Quick Questions 2 (page 419) |a percentage (page 417) |Excel: Simulating coin tosses (page 417) |Students model and determine |

|Ex 9E Experimenting with chance (page |Enrichment task: Petals (page 420) |Game time 002 (page 418) |GC program – Casio: Coin flip (page 417) |probabilities for single events to |

|417) | | |GC program – TI: Coin flip (page 417) |justify statements and decisions. |

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

| | | |417) | |

| | | |GC program – Casio: Rolling a die (page | |

| | | |418) | |

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

|Fair games (page 421) |Investigation: I win! (page 423) |WorkSHEET 9.3 (page 423) | |CD 5.1 (Q 1-5) |

|WE 9a-b | | | |Students model and determine |

|Ex 9F Fair games (page 422) | | | |probabilities for single events to |

| | | | |justify statements and decisions. |

|Summary (page 424) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 425) | | | | |

| | |(page 426) | | |

| | |Topic tests (2) | | |

Chapter 10 Data Suggested time: 3 weeks

Strand: Chance and data

Topic: Data

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 428) | |SkillSHEETs (page 428) | |CD 4.2 |

| | |10.1: Distinguishing between qualitative | |Students make comparisons about data |

| | |and quantitative data | |based on displays and measures of |

| | |10.2: Distinguishing between discrete and| |location. |

| | |continuous data | |N 4.1 |

| | |10.4: Reading scales (how much is each | |Students compare and order common |

| | |interval worth?) | |fractions. |

| | |10.5: Forming fractions | | |

| | |10.6: Multiplying fractions by a whole | | |

| | |number | | |

| | |10.10: Constructing angles with a | | |

| | |protractor | | |

| | |10.13: Finding the mean of ungrouped data| | |

| | |10.15: Finding the median | | |

|Collecting and classifying data (page |Investigation: Generating random numbers |SkillSHEET 10.1: Distinguishing between |Mathcad: Collecting data (page 432) |CD 4.2 (Q 1-9) |

|429) |(page 431) |qualitative and quantitative data | |Students plan and carry out data |

|WE 1, 2a-d |Maths Quest challenge: Q1-3 (page 434) |(page 433) | |collections using their own data record |

|Ex 10A Collecting and classifying data |Investigation: Bias (page 435) |SkillSHEET 10.2: Distinguishing between | |templates, choose or construct |

|(page 432) |Investigation: Collecting data for |discrete and continuous data (page 433) | |appropriate displays and make comparisons|

| |surveys and questionnaires (page 436) | | |about the data based on the displays. |

| |Enrichment task: How many red smarties | | | |

| |are in a pack? (page 438) | | | |

|Displaying data in tables (page 439) | |SkillSHEET 10.3: Frequency distribution |Excel: Frequency tally tables (page 443) |CD 4.2 (Q 1-11) |

|WE 3a-f, 4a-g | |tables (page 443) |Excel: Frequency tally tables (DIY) |Students carry out data collections, |

|Ex 10B Displaying data in tables (page | |WorkSHEET 10.1 (page 446) |(page 443) |choose or construct appropriate displays |

|443) | | |Mathcad: Tables and charts (page 444) |and make comparisons about the data based|

| | | | |on the displays. |

|Understanding graphical displays (page |Code puzzle (page 452) |SkillSHEET 10.4: Reading scales (how much| |CD 4.2 (Q 1-8) |

|447) |10 Quick Questions 1 (page 453) |is each interval worth?) | |Students make comparisons about data |

|Ex 10C Understanding graphical displays | | | |based on displays. |

|(page  448) | | | | |

|Displaying data as graphs (page 454) |Investigation: Walking billboard (page |SkillSHEET 10.5: Forming fractions (page |Excel: Column graphs (page 464) |CD 4.2 (Q 1-22) |

|WE 5, 6, 7a-d, 8a-b, 9a-e, 10a-b, 11a-b |470) |467) |Mathcad: Column graphs (page 464) |Students carry out data collections, |

|Ex 10D Displaying data as graphs (page |10 Quick Questions 2 (page 471) |SkillSHEET 10.6: Multiplying fractions by|Excel: Column graphs (DIY) (page 464) |choose or construct appropriate displays |

|464) |Investigation: Pictographs (page 472) |a whole number (page 467) |Excel: Bar graphs (page 465) |and make comparisons about the data based|

| | |SkillSHEET 10.7: Simplifying fractions |Excel: Bar graphs (DIY) (page 464) |on the displays. |

| | |(page 467) |Excel: Line graphs (page 466) | |

| | |SkillSHEET 10.8: Converting a fraction to|Mathcad: Line graphs (page 466) | |

| | |a percentage (page 467) |Excel: Line graphs (DIY) (page 466) | |

| | |SkillSHEET 10.9: Measuring angles with a |Excel: Pie graphs (page 467) | |

| | |protractor (page 467) |Mathcad: Pie graphs (page 467) | |

| | |SkillSHEET 10.10: Constructing angles |Excel: Pie graphs (DIY) (page 467) | |

| | |with a protractor (page 468) |Excel: Dotplots (DIY) (page 469) | |

| | |SkillSHEET 10.11: Drawing pie graphs | | |

| | |(page 468) | | |

| | |SkillSHEET 10.12: Choosing an appropriate| | |

| | |scale for dot plots (page 469) | | |

| | |WorkSHEET 10.2 (page 469) | | |

| | |Game time 001 (page 469) | | |

|Summary statistics (page 473) |GC tip – Casio: Finding the mean, median,|SkillSHEET 10.13: Finding the mean of |Mathcad: Summary statistics (page 478) |CD 4.2 (Q 1-19) |

|WE 12a-b, 13a-b, 14a-c, 15 |mode and range (page 476) |ungrouped data (page 478) |Excel: Mean (page 478) |Students construct appropriate displays |

|Ex 10E Summary statistics (page 478) |GC tip – TI: Finding the mean, median, |SkillSHEET 10.14: Finding the location of|Excel: Mean (DIY) (page 478) |and make comparisons about the data based|

| |mode and range (page 477) |the median (page 479) |Excel: Median (page 479) |on the displays and measures of location.|

| |Investigation: Families (page 481) |SkillSHEET 10.15: Finding the median |Excel: Median (DIY) (page 479) |CD 5.2 (Q 20-25) |

| | |(page 479) |Excel: Mode (page 479) |Students plan investigations involving |

| | |Game time 002 (page 481) |Excel: Mode (DIY) (page 479) |discrete and continuous data, produce and|

| | |WorkSHEET 10.3 (page 481) | |compare data displays involving grouping,|

| | | | |and compare measures of location. |

|Summary (page 482) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 484) | | | | |

| | |(page 490) | | |

| | |Topic tests (2) | | |

Chapter 11 Shape and line Suggested time: 3 weeks

Strand: Space

Topic: Shape and line

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 492) | |SkillSHEETs (page 492) | |S 3.1 |

| | |11.1: Reading the scale on a protractor | |Students identify and describe the |

| | |11.2: Comparing the size of angles | |properties of specific families of 2D |

| | |11.4: Measuring angles with a protractor | |shapes. |

| | |11.5: Constructing angles with a | |S 4.1 |

| | |protractor | |Students analyse the geometric properties|

| | |11.6: Classifying angles | |of a range of 2D shapes to classify |

| | |11.7: Naming angles | |shapes into subgroups of families. |

| | |11.9: Classifying triangles according to | | |

| | |the length of their sides | | |

|Measuring and constructing angles with a |Maths Quest challenge: Q1-5 (page 499) |SkillSHEET 11.1: Reading the scale on a |Cabri geometry: Angles (page 498) |S 4.1 (Q 1-7) |

|protractor (page 493) |Code puzzle (page 500) |protractor (page 497) |GC program – Casio: Constructing angles |Students analyse the geometric properties|

|WE 1a-b, 2a-b |Investigation: Estimating the size of an |SkillSHEET 11.2: Comparing the size of |(page 499) |of a range of 2D shapes to classify |

|Ex 11A Measuring and constructing angles |angle (page 501) |angles (page 497) |GC program – TI: Constructing angles (page|shapes into subgroups of families and |

|with a protractor (page 497) | |SkillSHEET 11.3: Estimating the size of |499) |justify reasoning. |

| | |an angle (page 497) |Excel: Constructing angles (page 499) | |

| | |SkillSHEET 11.4: Measuring angles with a | | |

| | |protractor (page 497) | | |

| | |SkillSHEET 11.5: Constructing angles with| | |

| | |a protractor (page 499) | | |

| | |Game time 001 (page 499) | | |

|Classifying and naming angles (page 502) | |SkillSHEET 11.6: Classifying angles (page|Cabri geometry: Types of angles (page 504)|S 3.1 (Q 1-7) |

|WE 3a-c, 4a-b, 5 | |504) |Cabri geometry: Naming and measuring |Students identify and describe the |

|Ex 11B Classifying and naming angles | |SkillSHEET 11.7: Naming angles (page 506)|angles (page 506) |properties of specific families of 2D |

|(page 504) | |WorkSHEET 11.1 (page 506) | |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) |Maths Quest challenge: Q1-3 (page 513) |SkillSHEET 11.8: Solving equations by |Mathcad: Finding the complement (page 510)|S 6.1 (Q 1-10) |

|WE 6, 7, 8a-b, 9a-b, 10a-c, 11 |10 Quick Questions 1 (page 513) |backtracking (page 511) |Mathcad: Finding the supplement (page 510)|Students use deductive reasoning to |

|Ex 11C Angle relationships (page 510) | | |Cabri geometry: Complementary angles (page|generalise about the properties of lines |

| | | |510) |and angles referring to relationships |

| | | |Cabri geometry: Supplementary angles (page|between these properties to justify |

| | | |510) |arguments. |

|Constructing angles with a pair of |Investigation: Copying triangles (page |WorkSHEET 11.2 (page 518) |Cabri geometry: Constructing a right angle|S 5.1 (Q 1-8) |

|compasses (page 514) |518) | |(DIY) (page 514) |Students analyse the relationships |

|WE 12, 13, 14, 15 | | |Cabri geometry: Constructing an angle of |between the properties of shapes, lines |

|Ex 11D Constructing angles with a pair of| | |60( (DIY) (page 514) |and angles to create representations of |

|compasses (page 518) | | |Cabri geometry: Bisecting an angle (DIY) |geometric objects that satisfy design |

| | | |(page 515) |specifications. |

| | | |Cabri geometry: Copying an angle (DIY) | |

| | | |(page 517) | |

|Triangles (page 519) |Investigation: Sum of angles in a |SkillSHEET 11.9: Classifying triangles |Cabri geometry: Angle sum of a triangle |S 4.1 (Q 1-19) |

|WE 16a-c, 17a-c, 18, 19, 20 |triangle (page 521) |according to the length of their sides |(page 522) |Students analyse the geometric properties|

|Ex 11E Triangles (page 524) |Maths Quest challenge: Q1-2 (page 528) |(page 524) |Cabri geometry: Classifying triangles |of a range of 2D shapes to classify |

| |Enrichment task: Properties of triangles |SkillSHEET 11.10: Classifying triangles |(sides) (page 524) |shapes into subgroups of families and |

| |(page 528) |according to the size of their angles |Cabri geometry: Classifying triangles |justify reasoning. |

| | |(page 524) |(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) |Investigation: Sum of angles in a |Game time 002 (page 536) |Cabri geometry: Quadrilaterals (page 529) |S 4.1 (Q 1-18) |

|WE 21a-b, 22, 23, 24 |quadrilateral (page 530) | |Cabri geometry: Parallelograms (page 529) |Students analyse the geometric properties|

|Ex 11F Quadrilaterals (page 533) |Investigation: Design for a front gate | |Cabri geometry: Rectangles (page 529) |of a range of 2D shapes to classify |

| |(page 536) | |Cabri geometry: Rhombuses (page 529) |shapes into subgroups of families and |

| |Investigation: Constructing | |Cabri geometry: Squares (page 529) |justify reasoning. |

| |quadrilaterals (page 537) | |Cabri geometry: Trapeziums (page 530) | |

| | | |Cabri geometry: Kites (page 530) | |

| | | |Cabri geometry: Parallelogram (page 531) | |

| | | |Cabri geometry: Trapezium (page 531) | |

| | | |Cabri geometry: Kites (page 531) | |

| | | |Cabri geometry: Squares (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: Squares (page 533) | |

| | | |Cabri geometry: Trapeziums (page 533) | |

| | | |Cabri geometry: Kites (page 533) | |

| | | |Cabri geometry: Angle sum in a | |

| | | |quadrilateral (page 534) | |

| | | |Mathcad: Angles in a quadrilateral (page | |

| | | |534) | |

|Polygons (page 537) |Investigation: In search of polygons |SkillSHEET 11.11: Naming polygons |Cabri geometry: Polygons (page 539) |S 4.1 (Q 1-7) |

|WE 25a-c |(page 540) |(page 539) |Cabri geometry: Regular polygons (page |Students analyse the geometric properties|

|Ex 11G Polygons (page 539) |10 Quick Questions 2 (page 541) |WorkSHEET 11.3 (page 540) |539) |of a range of 2D shapes to classify |

| | | | |shapes into subgroups of families and |

| | | | |justify reasoning. |

|Summary (page 542) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 544) | | | | |

| | |(page 548) | | |

| | |Topic tests (2) | | |

Chapter 12 Location, direction and movement Suggested time: 2 weeks

Strand: Space

Topic: Location, direction and movement

|Section |GC tips, Investigations, Rich tasks, |SkillSHEETs, WorkSHEETs, Interactive |Technology applications |Core learning outcomes |

| |History of mathematics, Maths Quest |games, |(CD–ROM) | |

| |challenge, 10 Quick Questions, Code |Test yourself, Topic tests | | |

| |puzzles |(CD–ROM) | | |

|Are you ready? (page 550) | |SkillSHEETs (page 550) | |S 3.2 |

| | |12.1: Converting units of length | |Students give directions using major |

| | |12.2: Multiplying and dividing by powers | |compass points and angles. |

| | |of 10 | |S 4.1 |

| | |12.3: Angles around a circle (as in a | |Students analyse the geometric properties |

| | |compass) | |of a range of 2D shapes to classify shapes|

| | |12.4: Constructing angles with a | |into subgroups of families and justify |

| | |protractor | |reasoning. |

| | |12.5: Measuring angles with a protractor | |M 4.1 |

| | | | |Students choose appropriate units when |

| | | | |measuring lengths. |

| | | | |N 4.3 |

| | | | |Students identify and solve multiplication|

| | | | |and division problems using a range of |

| | | | |computation methods and strategies |

|Interpreting maps – scale (page 551) |Maths Quest challenge: Q1-2 (page 556) |SkillSHEET 12.1: Converting units of |Mathcad: Map scales (page 553) |S 4.2 (Q 3, 5, 6, 9, 11-14) |

|WE 1, 2, 3 |Code puzzle (page 557) |length (page 553) |Excel: Map scales (page 553) |Students interpret maps and plans with |

|Ex 12A Interpreting maps – scale (page | |SkillSHEET 12.2: Multiplying and dividing|Excel: Map scales (DIY) (page 553) |reference to conventions. |

|553) | |by powers of 10 | |S 5.2 (Q 1, 2, 4, 7, 8 10) |

| | |WorkSHEET 12.1 (page 556) | |Students interpret and describe maps and |

| | | | |plans that use scale. |

|Locations on Earth (page 558) |Investigation: Parallels of latitude and |Game time 001 (page 563) | |S 4.2 (Q 3, 4) |

|WE 4a-c, 5a-c, 6a-c, 7a-c |meridians of longitude (page 561) |WorkSHEET 12.2 (page 563) | |Students interpret maps and plans with |

|Ex 12B Locations on Earth (page 563) |10 Quick Questions 1 (page 565) | | |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) |10 Quick Questions 2 (page 576) |SkillSHEET 12.3: Angles around a circle |Cabri geometry: True bearings (page 567) |S 4.2 (Q 5a, b, 7, 9, 11, 13) |

|WE 8a-c, 9, 10, 11a-b, 12a-c, 13a-c |Enrichment task: The Bicentennial symbol |(as in a compass) (page 573) |Cabri geometry: True bearings (page 573) |Students interpret maps and plans with |

|Ex 12C Maps, bearings and plans (page |(page 576) |SkillSHEET 12.4: Constructing angles with|Excel: Compass ( true bearings (page 575)|reference to conventions and describe |

|573) |Investigation: Our national capital (page|a protractor (page 573) | |movements using compass points and |

| |577) |SkillSHEET 12.5: Measuring angles with a | |distance. |

| |Enrichment task: Suncorp Stadium (page |protractor (page 574) | |S 5.2 (Q 1-4, 5c, 6, 8, |

| |579) |Game time 002 (page 575) | |10-12) |

| | |WorkSHEET 12.3 (page 575) | |Students interpret and describe maps and |

| | | | |plans that use scale and describe |

| | | | |movements using compass bearings and |

| | | | |distance. |

|Summary (page 580) | |‘Test yourself’ multiple choice questions| | |

|Chapter review (page 581) | | | | |

| | |(page 582) | | |

| | |Topic tests (2) | | |

-----------------------

WORK PROGRAM

Maths Quest for Queensland Book 1

ISBN: 0-7314-0051-8 RRP: $46.95 Available November 2003

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To Order: Enquiries: Mobile: 0410 550 728

Contact your local bookseller. Contact Madonna Cavalliotis, Phone: 07 3859 9683

Regional Sales Manager Email: mcavalli@.au

REVISED

26/11/03

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