Heinemann Maths Zone for South Australia a Middle Years Approach Syllabus Audit

Heinemann Maths Zone for South Australia – A Middle Years’ Approach Syllabus Audit

This document includes two grids which provide a detailed cross-reference of:

 the sections in the Heinemann Maths Zone for South Australia – A Middle Years’ Approach (MZSA MYA) textbook/workbook  the worksheets, including homework sheets, on the Heinemann eMaths Zone for South Australia – A Middle Years’ Approach (eMZSA MYA) student CD with

 the outcomes and levels from the South Australia Curriculum Standards and Accountability (SACSA) Framework Middle Years Band

Go to ‘SACSA Frameworks to textbook/worksheets map’

Go to ‘Textbook/worksheets to SACSA Frameworks map’

The following abbreviations are used in this document:

MZSA MYA = Heinemann Maths Zone for South Australia – A Middle Years’ Approach textbook/workbook eMZSA MYA = Heinemann eMaths Zone for South Australia – A Middle Years’ Approach student CD

C = Consolidation worksheet HW = Homework sheet

D = Exploring, Analysing and Modelling Data M = Measurement N = Number P = Pattern and Algebraic Reasoning S = Spatial Sense and Geometric Reasoning

Copyright @ Pearson Australia (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 74081 892 6 Heinemann Maths Zone for South Australia – A Middle Years’ Approach Syllabus Audit

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eMZSA MYA Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook worksheets Exploring, Analysing and Modelling Data Key Idea: Students engage with data by formulating and answering questions, and collecting and representing data in order to investigate and understand the world around them. Standard 3 – Towards the end of Year 6, the student: 3.1 Poses questions, determines a sample, Ch2 2.1, Investigation: Surveys, C2.1 collects and records data including related Review questions 2 HW2.1 data, represents sample data in order to Rich task 5 Assignment 2 investigate the world around them. Standard 4 – Towards the end of Year 8, the student: 4.1 Poses questions, appropriately designs a Ch2 2.1, Investigation: Surveys, C2.1 survey, collects data and classifies sequence, Review questions 2 HW2.1 collapses, tabulates and represents the data Rich task 5 Assignment 2 with and without ICTs

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Exploring, Analysing and Modelling Data Key Idea: Students use statistical methods to reduce, analyse and interpret data, while critically evaluating the cultural and social inclusivity of the samples used. Standard 3 – Towards the end of Year 6, the student: 3.2 Summarises, recognises bias, draws Ch2 2.1, 2.2, Laugh Zone, C2.1, C2.2, conclusions and makes conjectures about Investigation: Using averages, 2.3, 2.4, C2.3, C2.4, data. Understands how different Maths in Action: The mystery of the C2.5, C2.6 organisation and representations influence Incas, 2.6, Investigation: Surveys, HW2.1, HW2.2 data interpretation. Personal Learning Activity 2, Review Assignment 2 questions 2 Rich task 5 Standard 4 – Towards the end of Year 8, the student: 4.2 Reads and describes information in given Ch2 2.2, Laugh Zone, Investigation: C2.2, C2.3, tables, diagrams, line graphs and bar graphs. Using averages, Computer C2.4, C2.5, Makes predictions based on the information, investigation: Collecting statistics, 2.3, C2.6, C2.7 understanding the limitations of data 2.4, Maths in Action: The mystery of the HW2.1, HW2.2 interpretation and the possible social Incas, 2.5, Investigation: Surveys, Assignment 2 consequences of these limitations. Personal Learning Activity 2, Review questions 2 Rich task 5

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Exploring, Analysing and Modelling Data Key Idea: Students engage with data to understand, analyse and apply notions of chance and probability in the social and natural worlds. Standard 3 – Towards the end of Year 6, the student: 3.3 Analyses data to search for patterns in Ch2 Home page: Counting the catch C4.5 events where the range of outcomes is Ch4 4.5, Review questions 4 HW4.1 generated by situations where chance plays a Rich tasks 1, 2 5 Assignment 4 role. Standard 4 – Towards the end of Year 8, the student: 4.3 Interprets data and makes numerical Ch2 Home page: Counting the catch C4.5 statements about probability, models Ch4 4.5, Review questions 4 HW4.1 situations, using data to validate their Rich tasks 1, 2 5 Assignment 4 theories about the fairness of everyday situations including hypothetical situations.

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Measurement Key Idea: Students understand attributes, units and systems of measurement. They research and report on how measurement is used in the home, community and paid workforce, and recognise transferability between these and other contexts. Standard 3 – Towards the end of Year 6, the student: 3.4 Selects appropriate attributes and systems to Ch6 Home page: Speaking volumes C6.1 measure for a variety of purposes and about Archimedes, 6.1, Activity: Metric HW6.1 reports on how measurement is used in measures, Maths in Action: From Assignment 6 social practice. fingers to feet to metres, Personal Learning Activity 6, Review questions 6 Rich task 2 Standard 4 – Towards the end of Year 8, the student: 4.4 Selects appropriate measurement units and Ch6 6.1, Activity: Metric measures, 6.2, C6.1, C6.2, scale to conduct collaborative research into Laugh Zone, 6.3, 6.4, Maths in Action: C6.3, C6.4, issues associated with the social or physical From fingers to feet to metres, Personal C6.5 world. Learning Activity 6, Review questions 6 HW6.1, HW6.2 Rich tasks 2, 3, 4 Assignment 6

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Measurement Key Idea: Students understand attributes, units and systems of measurement. They research and report on how measurement is used in the home, community and paid workforce, and recognise transferability between these and other contexts. Standard 3 – Towards the end of Year 6, the student: 3.5 Uses a range of standard tools to measure Ch6 6.2, Laugh Zone, 6.3, 6.4, 6.5, C6.2, C6.3, relationships between distances and other Maths in Action: From fingers to feet to C6.4, C6.5, measurable attributes to calculate size. metres, 6.6, 6.7, 6.8, Review questions 6 C6.6, C6.7, Rich task 2 C6.8, C6.9, C6.10, C6.11 HW6.1, HW6.2, HW6.3 Assignment 6 Standard 4 – Towards the end of Year 8, the student: 4.5 Applies a variety of techniques and tools, Ch6 6.2, Laugh Zone, 6.3, 6.4, 6.5, C6.2, C6.3, and uses a range of measurement formulae Maths in Action: From fingers to feet to C6.4, C6.5, to solve problems. metres, 6.6, 6.7, 6.8, Review questions 6 C6.6, C6.7, Rich task 2 C6.8, C6.9, C6.10, C6.11 HW6.1, HW6.2, HW6.3 Assignment 6

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Number Key Idea: Students recognise relationships within different number concepts in order to make sense of, and represent numerically, a range of community activities and social processes encountered in their lives. Standard 3 –- Towards the end of Year 6, the student: 3.6 Represents and analyses relationships Ch1 Home page: Can you beat this?, C1.1, C1.6 amongst number concepts and uses these to 1.1, Laugh Zone, 1.5, Maths in Action: HW1.1, HW1.2 make sense of, and represent the world. Calculating the Great Wall, Personal Assignment 1 Learning Activity 1, Review questions 1 C3.1, C3.2, C3.3, Ch3 Home page: The truth is out there C3.4, C3.5, C3.6, in the numbers, 3.1, 3.2, Activity: What C3.7, C3.8 number am I?, 3.3, Investigation: The HW3.1, HW3.2 sieve of Eratosthenes, 3.4, 3.5, Laugh Assignment 3 Zone, Maths in Action: Keeping it secret, C4.1, C4.2, C4.3, 3.6, Computer investigation: Fibonacci C4.4 and other number patterns, Personal HW4.1 Learning Activity 3, Review questions 3 Assignment 4 Ch4 Home page: Fractions give you C5.1, C5.2, C5.3, rhythm, 4.1, Investigation: Fraction wall, C5.4, C5.5 4.2, 4.3, 4.4, Maths in Action: Egyptian HW5.1, HW5.2 fractions, Review questions 4 Assignment 5 Ch5 Home page: Richter scale a bit shaky, 5.1, Activity: Donna’s decimal, 5.2, 5.3, 5.4, Maths in Action: Decimal drinks, Personal Learning Activity 5, Review questions 5 Ch6 Home page: Speaking volumes about Archimedes, Investigation: How many squares on a chessboard? Ch7 Home page: Bubble algebra bursts onto the scene Rich tasks 1 and 4

Standard 4 – Towards the end of Year 8, the student: 4.6 Represents and analyses relationships Ch1 1.5, Review questions 1 HW1.2 amongst integers and rational numbers and Ch3 3.1, 3.3, Investigation: The sieve of Assignment 1 commonly encountered irrational numbers. Eratosthenes, 3.4, Investigation: C3.1, C3.3, C3.4, Goldbach’s conjecture, 3.5, Laugh Zone, C3.5, C3.6, C3.7, 3.6, Computer investigation: Fibonacci C3.8 and other number patterns, Personal HW3.1, HW3.2 Learning Activity 3, Review questions 3 Assignment 3 Ch4 4.1, Investigation: Fraction wall, C4.1, C4.2, C4.3, 4.2, 4.3, 4.4, Maths in Action: Egyptian C4.4, fractions, Review questions 4 HW4.1 Ch5 5.4, Review questions 5 Assignment 4 C5.4, C5.5 HW5.2 Assignment 5 Copyright @ Pearson Australia (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 74081 892 6 Heinemann Maths Zone for South Australia – A Middle Years’ Approach Syllabus Audit

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Number Key Idea: Students understand the meaning of operations and how they relate to each other, and can communicate these through a range of media, including information and communication technologies. Standard 3 – Towards the end of Year 6, the student: 3.7 Describes, represents and analyses Ch1 1.2, 1.3, 1.4, 1.6, Activities: The C1.2, C1.3, operations with rational numbers and four 4s puzzle, Puzzling year, What C1.4, C1.5, relationships between them. number am I?, Investigation: The C1.7, C1.9 multiplication target game, 1.8, HW1.1, Investigation: Odds and evens, Review HW1.2, HW1.3 questions 1 Assignment 1 Ch4 4.6, Activity: Unit fractions, 4.7, C4.6, C4.7, Investigation: Ideal fractions, 4.8, C4.8, C4.9, Laugh Zone, Review questions 4 C4.10, C4.11 Ch5 5.5, 5.6, Activity: Ten dollars and HW4.2, HW4.3 eighty-nine cents, Laugh Zone, 5.7, 5.8, Assignment 4 5.9, 5.10, Investigation: Diving scores, C5.6, C5.7, 5.11, 5.12, Maths in Action: Decimal C5.8, C5.9, drinks, Review questions 5 C5.10, C5.11, C5.12, C5.13 HW5.2, HW5.3 Assignment 5 Standard 4 – Towards the end of Year 8, the student: 4.7 Communicates understanding of the Ch1 1.2, 1.6, Activities: The four 4s C1.2, C1.3, meaning of operations with integers and puzzle, Puzzling year, What number am C1.4, C1.5, rational numbers, and how they relate to I?, Investigation: The multiplication C1.7, C1.9 each other. target game, 1.8, Investigation: Odds HW1.1, HW1.3 and evens, Personal Learning Activity Assignment 1 1, Review questions 1 C4.6, C4.7, Ch4 4.6, Activity: Unit fractions, 4.7, C4.8, C4.9, Investigation: Ideal fractions, 4.8, C4.10, C4.11 Laugh Zone, Personal Learning Activity HW4.2, HW4.3 4, Review questions 4 Assignment 4 Ch5 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, C5.6, C5.7, Investigation: Diving scores, 5.11, 5.12, C5.8, C5.9, Maths in Action: Decimal drinks, C5.10, C5.11, Review questions 5 C5.12, C5.13 HW5.2, HW5.3 Assignment 5

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Number Key Idea: Students use computational tools and strategies, and understand and represent the thinking processes employed in solving problems involving proportions. Standard 3 – Towards the end of Year 6, the student: 3.8 Uses a variety of estimating and calculating Ch1 1.2, 1.7, Personal Learning C1.2, C1.3, strategies with whole numbers, including Activity 1, Review questions 1 C1.4, C1.5, memorising multiplication and division Ch3 3.2, Review questions 3 C1.8 facts, fractions and decimals. Ch4 4.6, Activity: Unit fractions, 4.7, HW1.1, HW1.3 Investigation: Ideal fractions, 4.8, Assignment 1 Laugh Zone, Review questions 4 C3.2 Ch5 5.5, 5.6, Activity: Ten dollars and HW3.1 eighty-nine cents, 5.7, 5.8, 5.9, 5.10, Assignment 3 Investigation: Diving scores, 5.11, 5.12, C4.6, C4.7, Maths in Action: Decimal drinks, C4.8, C4.9, Review questions 5 C4.10, C4.11 HW4.2, HW4.3 Assignment 4 C5.6, C5.7, C5.8, C5.9, C5.10, C5.11, C5.12, C5.13 HW5.2, HW5.3 Assignment 5 Standard 4 – Towards the end of Year 8, the student: 4.8 Applies appropriate computational tools and Ch1 1.2, 1.7, Review questions 1 C1.2, C1.3, strategies to proportional situations Ch4 4.6, Activity: Unit fractions, 4.7, C1.4, C1.5, involving integers, and rational numbers. Investigation: Ideal fractions, 4.8, C1.8 Laugh Zone, Review questions 4 HW1.1, HW1.3 Ch5 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, Assignment 1 Investigation: Diving scores, 5.11, 5.12, C4.6, C4.7, Maths in Action: Decimal drinks, C4.8, C4.9, Review questions 5 C4.10, C4.11 HW4.2, HW4.3 Assignment 4 C5.6, C5.7, C5.8, C5.9, C5.10, C5.11, C5.12, C5.13 HW5.2, HW5.3 Assignment 5

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Pattern and Algebraic Reasoning Key Idea: Students demonstrate, record and report on logical and critical thought processes by searching for and abstracting generational algebraic representations from patterns drawn from current social situations. Standard 3 – Towards the end of Year 6, the student: 3.9 Describes and generalises relationships Ch1 Investigation: Palindromes C3.8 between measurable attributes as patterns Ch3 3.6, Computer investigation: HW3.2 and explains the impact of varying one Fibonacci and other number patterns, Assignment 3 aspect of the relationship. Review questions 3 C7.1, C7.2, Ch7 7.1, 7.2, 7.3, Laugh Zone, 7.4, C7.3, C7.4, Investigation: Cups and counters, C7.5, C7.6, Activity: Cutting string, Activity: The C7.9 handshake problem, 7.6, Computer HW7.1, HW7.2 investigation: Scatterplots, Personal Assignment 7 Learning Activity 7, Review questions 7 Standard 4 – Towards the end of Year 8, the student: 4.9 Analyses, creates and generalises numeric Ch3 3.6, Computer investigation: C3.8 and visual patterns to solve problems in a Fibonacci and other number patterns, HW3.2 range of applications. Personal Learning Activity 3, Review Assignment 3 questions 3 C7.1, C7.2, Ch4 Personal Learning Activity 4 C7.3, C7.4, Ch5 Personal Learning Activity 5 C7.5, C7.6, Ch7 Home page: Bubble algebra bursts C7.9 onto the scene, 7.1, 7.2, 7.3, Laugh HW7.1, HW7.2 Zone, 7.4, Investigation: Cups and Assignment 7 counters, Activity: Cutting string, Activity: The handshake problem, Computer investigation: Scatterplots, Personal Learning Activity 7, Review questions 7

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Pattern and Algebraic Reasoning Key Idea: Students use mathematical models to make connections and analyse how things might change in both real and abstract contexts. They extract information from tables of data and graphs, making comparisons between varying rates of change, and predicting future events. Standard 3 – Towards the end of Year 6, the student: 3.10 Analyses, creates and generalises numerical Ch9 9.1, 9.3, Activity: The mindreader C9.1, C9.3, and spatial patterns and solves problems game, Activity: Algebraic puzzles, C9.4 with such patterns. Personal Learning Activity 9, Review HW9.1, HW9.2 questions 9 Assignment 9 Standard 4 – Towards the end of Year 8, the student: 4.10 Uses symbolic algebra to represent Ch9 Home page: Soaking up the gravy C9.2, C9.5, situations and manipulate the symbolic equation, 9.2, 9.4, 9.5, Maths in Action: C9.6, C9.7 representations to solve problems involving Pedal powered flight, Investigation: HW9.1, linear equations and inequations; gives Guess, check and improve, Computer HW9.2, HW9.3 simple algebraic proofs. investigation: Solving equations using Assignment 9 substitution, 9.6, Laugh Zone, Personal Learning Activity 9, Review questions 9

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Pattern and Algebraic Reasoning Key Idea: Students analyse mathematical structures and use algebraic formulae to represent situations. They further develop the capacity to express themselves, and to solve problems involving linear relationships. Standard 3 – Towards the end of Year 6, the student: 3.11 Uses mathematical representations to make Ch9 9.2, 9.6, Review questions 9 C9.2 connections and analyse change. HW9.1, HW9.3 Assignment 9 Standard 4 – Towards the end of Year 8, the student: 4.11 Models contextualised situation, making Ch9 9.2, Maths in Action: Pedal C9.2 connections and analysing change. powered flight, Investigation: Guess, HW9.1, HW9.3 check and improve, Computer Assignment 9 investigation: Solving equations using substitution, 9.6, Review questions 9

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Spatial Sense and Geometric Reasoning Key Idea: Students explore and analyse features in their immediate and extended environment in geometric terms. They compare perspectives of spatial sense and geometric reasoning in order to understand different human interactions with their environment. Standard 3 – Towards the end of Year 6, the student: 3.12 Describes and generalises spatial Ch6 Activity: Removing matchsticks, C8.1, C8.2, relationships within and between groups of Investigation: How many squares on a C8.3, C8.4, 2-D and 3-D shapes and objects and chessboard? C8.5, C8.6 appreciates their application in a range of Ch8 Home page: In the steps of the HW8.1 cultural contexts. dinosaur, 8.1, Activity: Count the angles, Assignment 8 8.2, Investigation: Dot paper angles, C10.1, C10.2, Maths in Action: Billiard ball bounces, C10.3, C10.6, 8.3, Investigation: Line designs in C10.9, C10.11, angles, Activity: Ella’s angles, Personal C10.12, Learning Activity 8, Review questions 8 C10.17, Ch10 Home page: Bringing shapes to C10.18, C10.19 life, 10.1, Investigation: Polyiamonds, HW10.1, 10.3, Activity: Quadrilateral quandaries, HW10.2, 10.5, 10.6, 10.7, 10.9, Personal HW10.3 Learning Activity 10, Review Assignment 10 questions 10 Standard 4 – Towards the end of Year 8, the student: 4.12 Identifies characteristics and properties of Ch8 8.1, 8.4, Laugh Zone, 8.5, 8.6, C8.1, C8.2, 2-D and 3-D shapes and understands how Personal Learning Activity 8, Review C8.3, C8.7, these have influenced the built environment. questions 8 C8.8, C8.9, Ch10 Home page: Bringing shapes to C8.10, C8.11, life, Investigation: Angle sum in a C8.12 triangle, 10.2, 10.4, Laugh Zone, HW8.1, HW8.2 Investigation: Angle sum in a polygon, Assignment 8 10.6, 10.7, 10.9, Review questions 10 C10.4, C10.5, C10.7, C10.8, C10.10, C10.11, C10.12, C10.17, C10.18, C10.19 HW10.1, HW10.2, HW10.3 Assignment 10

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Spatial Sense and Geometric Reasoning Key Idea: Students analyse and understand the uses and purposes of flips (reflections), slides (translations), rotations and dilations to explore geometric relationships and alternative preferred possibilities in the physical world. Standard 3 – Towards the end of Year 6, the student: 3.13 Analyses the result of a series of flips, Ch10 10.8, Computer investigation: C10.13, slides, rotations and reflections and Using Microworlds or LOGO, Review C10.14, translations and uses scales to undertake questions 10 C10.15, C10.16 enlargements and reductions of figures and HW10.3 objects. Assignment 10 Standard 4 – Towards the end of Year 8, the student: 4.13 Identifies, represents and justifies one and Ch10 10.8, Computer investigation: C10.13, two step geometrical transformations. Using Microworlds or LOGO, Review C10.14, questions 10 C10.15, C10.16 HW10.3 Assignment 10

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Codes Core/Discretionary learning outcomes MZSA MYA textbook/workbook eMZSA MYA worksheets Spatial Sense and Geometric Reasoning Key Idea: Students develop and extend their capacity to solve problems in multi-layered and abstract ways in order to produce accurate maps, graphs and models. Standard 3 – Towards the end of Year 6, the student: 3.14 Produces, uses and critiques scaled maps Ch7 7.5, Investigation: Chess piece C7.7, C7.8, and plans and envisages alternative tours, Maths in Action: Where in the C7.10 possibilities. world?, 7.7, Review questions 7 HW7.2 Ch10 Maths@Work: Graphic designer Assignment 7 Rich task 2 Standard 4 – Towards the end of Year 8, the student: 4.14 Represents and uses location maps, Ch7 7.5, Investigation: Chess piece C7.7, C7.8, pathways diagrams and network diagrams to tours, Maths in Action: Where in the C7.10 describe current and possible future world?, 7.7, Review questions 7 HW7.2 characteristics of the physical world. Ch10 Maths@Work: Graphic designer Assignment 7 Rich tasks 2 and 4

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Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets

1 Whole numbers Home page: Can you beat this? Wordsearch 1 3.6 N – language 1.1 Number systems Ex 1.1 Q1–5 C1.1, HW1.1 3.6 Ex 1.1 Q6–9 Laugh Zone 3.6 1.2 Whole number problems Ex 1.2 Q1–6 C1.2, C1.3, C1.4, 3.7, 3.8, 4.7, 4.8 Ex 1.2 Q7–18 C1.5, HW1.1 Investigation: Palindromes 3.9 1.3 Magic squares Ex 1.3 Q1–2 HW1.1 3.7 Ex 1.3 Q3–5 1.4 Number pyramids and cross- Ex 1.4 Q1–5 HW1.2 3.7 number totals Ex 1.4 Q5–8 1.5 Estimating and rounding Ex 1.5 Q1–5 C1.6, HW1.2 3.6, 4.6 Ex 1.5 Q6–13 1.6 Order of operations Ex 1.6 Q1–2 C1.7, HW1.3 3.7, 4.7 Ex 1.6 Q3–9 Activities: The four 4s puzzle, 3.7, 4.7 Puzzling year, What number am I? Investigation: The multiplication 3.7, 4.7 target game 1.7 Mental maths strategies Ex 1.7 Q1–4 C1.8, HW1.3 3.8, 4.8 Ex 1.7 Q5–10 1.8 Number sentences Ex 1.8 Q1–3 C1.9, HW1.3 3.7, 4.7 Ex 1.8 Q4–9 Investigation: Odds and evens 3.7, 4.7 Maths in Action: Calculating the 3.6 Great Wall Chapter 1 review Personal Learning Activity 1 DIY Summary 1 C1.10 3.6, 3.8, 4.7 N – language Review questions 1 Review questions 1 Assignment 1 3.6, 3.7, 3.8, 4.6, Q13–21 Q1–12 4.7, 4.8 Replay 1 Replay and Problem N, P, M, D, S Solving HW1.1, HW1.2, HW1.3

Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets

2 Displaying data Home page: Counting the catch Wordsearch 2 3.3, 4.3 D – language 2.1 Surveys and frequency tables Ex 2.1 Q1–6 C2.1, HW2.1 3.1, 3.2, 4.1 Ex 2.1 Q7–14 2.2 Averages Ex 2.2 Q1–3 C2.2, C2.3, HW2.1 3.2, 4.2 Ex 2.2 Q4–7 Laugh Zone 3.2, 4.2 Investigation: Using averages 3.2, 4.2 Computer investigation: Collecting 4.2 statistics 2.3 Bar graphs Ex 2.3 Q1–3 C2.4, C2.5, HW2.2 3.2, 4.2 Ex 2.3 Q4–9 2.4 Line graphs Ex 2.4 Q1–7 C2.6, HW2.2 3.2, 4.2 Ex 2.4 Q8–10 Maths in Action: The mystery of the 3.2, 4.2 Incas 2.5 Divided bar and sector graphs Ex 2.5 Q1–2 C2.7, HW2.2 4.2 Ex 2.5 Q3–6 2.6 The best statistical graph Ex 2.6 Q1–2 HW2.2 3.2 Ex 2.6 Q3–4 Investigation: Surveys 3.1, 3.2, 4.1, 4.2 Chapter 2 review Personal Learning Activity 2 DIY Summary 2 C2.8 3.2, 4.2 D – language Review questions 2 Review questions 2 Assignment 2 3.1, 3.2, 4.1, 4.2 Q7–12 Q1–6 Replay 2 Replay and Problem N, P, M, S Solving HW2.1, HW2.2

3 Number patterns Home page: The truth is out there in Wordsearch 3 3.6 the numbers N, P – language 3.1 Multiples Ex 3.1 Q1–5 C3.1, HW3.1 3.6, 4.6 Ex 3.1 Q6–13 3.2 Divisibility Ex 3.2 Q1–10 C3.2, HW3.1 3.6, 3.8 Ex 3.2 Q11–15 Activity: What number am I? 3.6 3.3 Factors Ex 3.3 Q1–5 C3.3, HW3.1 3.6, 4.6 Ex 3.3 Q6–9 Copyright @ Pearson Australia (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 74081 892 6 Heinemann Maths Zone for South Australia – A Middle Years’ Approach Syllabus Audit

Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets Investigation: The sieve of 3.6, 4.6 Eratosthenes 3.4 Prime and composite numbers Ex 3.4 Q1–8 C3.4, C3.5, HW3.2 3.6, 4.6 Ex 3.4 Q9–18 Investigation: Goldbach’s conjecture 4.6 3.5 Square and cube numbers Ex 3.5 Q1–9 C3.6, C3.7, HW3.2 3.6, 4.6 Ex 3.5 Q10–13 Laugh Zone 3.6, 4.6 Maths in Action: Keeping it secret 3.6 3.6 Other special numbers Ex 3.6 Q1–5 C3.8, HW3.2 3.6, 3.9, 4.6, 4.9 Ex 3.6 Q6–11 Computer investigation: Fibonacci 3.6, 3.9, 4.6, 4.9 and other number patterns Chapter 3 review Personal Learning Activity 3 DIY Summary 3 C3.9 3.6, 4.6, 4.9 N, P – language Review questions 3 Review questions 3 Assignment 3 3.6, 3.8, 3.9, 4.6, Q11–19 Q1–10 4.9 Replay 3 Replay and Problem N, P, M, D, S Solving HW3.1, HW3.2

4 Fractions Home page: Fractions give you Wordsearch 4 3.6 rhythm N – language 4.1 Equivalent fractions Ex 4.1 Q1–5 C4.1, HW4.1 3.6, 4.6 Ex 4.1 Q6–8 Investigation: Fraction wall 3.6, 4.6 4.2 Improper fractions and mixed Ex 4.2 Q1–4 C4.2, HW4.1 3.6, 4.6 numbers Ex 4.2 Q5–7 4.3 Key percentages Ex 4.3 Q1–4 C4.3, HW4.1 3.6, 4.6 Ex 4.3 Q5–9 4.4 Comparing fractions Ex 4.4 Q1–8 C4.4, HW4.1 3.6, 4.6 Ex 4.2 Q9–14 4.5 Probability Ex 4.5 Q1–6 C4.5, HW4.1 3.3, 4.3 Ex 4.3 Q7–9 4.6 Adding and subtracting fractions Ex 4.6 Q1–5 C4.6, C4.7, HW4.2 3.7, 3.8, 4.7, 4.8 Ex 4.6 Q6–12 Activity: Unit fractions 3.7, 3.8, 4.7, 4.8 Maths in Action: Egyptian fractions 3.6, 4.6 4.7 Multiplying fractions Ex 4.7 Q1–6 C4.8, HW4.3 3.7, 3.8, 4.7, 4.8 Ex 4.7 Q7–14 Copyright @ Pearson Australia (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 74081 892 6 Heinemann Maths Zone for South Australia – A Middle Years’ Approach Syllabus Audit

Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets Investigation: Ideal fractions 3.7, 3.8, 4.7, 4.8 4.8 Dividing fractions Ex 4.8 Q1–5 C4.9, C4.10, C4.11, 3.7, 3.8, 4.7, 4.8 Ex 4.8 Q6–10 HW4.3 Activity: What fractions are we? 3.6. 4.6 Laugh Zone 3.7, 3.8, 4.7, 4.8 Chapter 4 review Personal Learning Activity 4 DIY Summary 4 C4.12 4.7, 4.8 N – language Review questions 4 Review questions 4 Assignment 4 3.3, 3.6, 3.7, 3.8, Q14–18 Q1–13 4.3, 4.6, 4.7, 4.8 Replay 4 Replay and Problem N, M, D, S Solving HW4.1, HW4.2, HW4.3

5 Decimals Home page: Richter scale a bit shaky Wordsearch 5 3.6 N – language 5.1 Place value Ex 5.1 Q1–7 C5.1, HW5.1 3.6 Ex 5.1 Q8–11 Activity: Donna’s decimal 3.6 5.2 Comparing decimals Ex 5.2 Q1–9 C5.2, HW5.1 3.6 Ex 5.2 Q10–15 5.3 Rounding off Ex 5.3 Q1–3 C5.3, HW5.1 3.6 Ex 5.3 Q4–13 5.4 Converting decimals to fractions Ex 5.4 Q1–3 C5.4, C5.5, HW5.2 3.6, 4.6 Ex 5.4 Q4–9 5.5 Addition of decimals Ex 5.5 Q1–2 HW5.2 3.7, 3.8, 4.7, 4.8 Ex 5.5 Q3–10 5.6 Subtraction of decimals Ex 5.6 Q1–4 C5.6, HW5.2 3.7, 3.8, 4.7, 4.8 Ex 5.6 Q5–14 Activity: Ten dollars and eighty-nine 3.7, 3.8 cents Laugh Zone 3.7 5.7 Multiplication of decimals by Ex 5.7 Q1–4 C5.7, HW5.2 3.7, 3.8, 4.7, 4.8 whole numbers Ex 5.7 Q5–14 5.8 Multiplication of decimals by Ex 5.8 Q1–4 C5.8, HW5.2 3.7, 3.8, 4.7, 4.8 multiples of 10 Ex 5.8 Q5–15 5.9 Multiplication of decimals by Ex 5.9 Q1–3 C5.9, HW5.3 3.7, 3.8, 4.7, 4.8 other decimals Ex 5.9 Q4–11

Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets 5.10 Division of decimals by whole Ex 5.10 Q1–3 C5.10, HW5.3 3.7, 3.8, 4.7, 4.8 numbers Ex 5.10 Q4–12 Investigation: Diving scores 3.6, 3.7, 3.8, 4.7, 4.8 5.11 Division of decimals by Ex 5.11 Q1–3 C5.11, HW5.3 3.7, 3.8, 4.7, 4.8 multiples of 10 Ex 5.11 Q4–12 5.12 Division of decimals by other Ex 5.12 Q1–3 C5.12, C5.13, HW5.3 3.7, 3.8, 4.7, 4.8 decimals Ex 5.12 Q4–11 Maths in Action: Decimal drinks 3.6, 3.7, 3.8, 4.7, 4.8 Chapter 5 review Personal Learning Activity 5 DIY Summary 5 C5.14 3.6, 4.9 N – language Review questions 5 Review questions 5 Assignment 5 3.6, 3.7, 3.8, 4.6, Q18–32 Q1–17 4.7, 4.8 Replay 5 Replay and Problem N, P, D, S Solving HW5.1, HW5.2, HW5.3

6 Measurement Home page: Speaking volumes about Wordsearch 6 3.4, 3.6 Archimedes M – language 6.1 Metric units Ex 6.1 Q1–8 C6.1, HW6.1 3.4, 4.4 Ex 6.1 Q9–22 Activity: Metric measures 3.4, 4.4 6.2 Perimeter Ex 6.2 Q1–6 C6.2, HW6.1 3.5, 4.4, 4.5 Ex 6.2 Q7–9 Laugh Zone 3.5, 4.4, 4.5 6.3 Area Ex 6.3 Q1–7 HW6.2 3.5, 4.4, 4.5 Ex 6.3 Q8–12 Activity: Removing matchsticks 3.12 Investigation: How many squares on 3.6, 3.12 a chessboard? 6.4 Area of a rectangle Ex 6.4 Q1–4 C6.3, C6.4, C6.5, 3.5, 4.4, 4.5 Ex 6.4 Q5–17 HW6.2 6.5 Area of a triangle Ex 6.5 Q1–4 C6.6, C6.7, HW6.2 3.5, 4.5 Ex 6.5 Q5–10 Maths in Action: From fingers to feet 3.4, 3.5, 4.4, 4.5 to metres

Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets 6.6 Volume Ex 6.6 Q1–3 C6.8, HW6.3 3.5, 4.5 Ex 6.6 Q4-8 6.7 Volume of rectangular prisms Ex 6.7 Q1–2 C6.9, HW6.3 3.5, 4.5 Ex 6.7 Q3–9 6.8 Time Ex 6.8 Q1–5 C6.10, C6.11, HW6.3 3.5, 4.5 Ex 6.8 Q6–11 Chapter 6 review Personal Learning Activity 6 DIY Summary 6 C6.12 3.4, 4.4 M – language Review questions 6 Review questions 6 Assignment 6 3.4, 3.5, 4.4, 4.5 Q13–23 Q1–12 Replay 6 Replay and Problem N, M, D, S Solving HW6.1, HW6.2, HW6.3

7 Relationships Home page: Bubble algebra bursts Wordsearch 7 3.6, 4.9 onto the scene P, S – language 7.1 Algebra rules Ex 7.1 Q1–4 C7.1, HW7.1 3.9, 4.9 Ex 7.1 Q5–10 7.2 Finding a formula Ex 7.2 Q1–4 C7.2, HW7.1 3.9, 4.9 Ex 7.2 Q5–7 7.3 Pronumerals Ex 7.3 Q1–6 C7.3, C7.4, C7.5, 3.9, 4.9 Ex 7.3 Q7–10 HW7.1 Laugh Zone 3.9, 4.9 7.4 Describing patterns algebraically Ex 7.4 Q1–6 C7.6, HW7.1 3.9, 4.9 Ex 7.4 Q7–11 Investigation: Cups and counters 3.9, 4.9 Activity: Cutting string 3.9, 4.9 Activity: The handshake problem 3.9, 4.9 7.5 Grid references Ex 7.5 Q1–6 C7.7, C7.8, HW7.2 3.14, 4.14 Ex 7.5 Q7–8 Investigation: Chess piece tours 3.14, 4.14 Maths in Action: Where in the 3.14, 4.14 world? 7.6 The Cartesian plane Ex 7.6 Q1–7 C7.9, HW7.2 3.9 Ex 7.6 Q8–10 Computer investigation: Scatterplots 3.9, 4.9 7.7 Latitude and longitude Ex 7.7 Q1–4 C7.10, HW7.2 3.14, 4.14 Ex 7.7 Q5–7 Chapter 7 review Personal Learning Activity 7 DIY Summary 7 C7.11 3.9, 4.9 P, S – language Copyright @ Pearson Australia (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 74081 892 6 Heinemann Maths Zone for South Australia – A Middle Years’ Approach Syllabus Audit

Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets Review questions 7 Review questions 7 Assignment 7 3.9, 3.14, 4.9, 4.14 Q15–20 Q1–14 Replay 7 Replay and Problem N, M, D Solving HW7.1, HW7.2

8 Angles Home page: In the steps of the Wordsearch 8 3.12 dinosaur S – language 8.1 Measuring angles Ex 8.1 Q1–9 C8.1, C8.2, C8.3, 3.12, 4.12 Ex 8.1 Q10–17 HW8.1 Activity: Count the angles 3.12 8.2 Drawing angles Ex 8.2 Q1–2 C8.4, HW8.1 3.12 Ex 8.2 Q3–5 Investigation: Dot paper angles 3.12 Maths in Action: Billiard ball 3.12 bounces 8.3 Describing angles Ex 8.3 Q1–5 C8.5, C8.6, HW8.1 3.12 Ex 8.3 Q6–7 Investigation: Line designs in angles 3.12 8.4 Complementary and Ex 8.4 Q1–6 C8.7, C8.8, C8.9, 4.12 supplementary angles HW8.2 Ex 8.4 Q7–9 Laugh Zone 4.12 Activity: Ella’s angles 3.12 8.5 Angles in a revolution Ex 8.5 Q1–3 C8.10, C8.11, HW8.2 4.12 Ex 8.5 Q4–7 8.6 Vertically opposite angles Ex 8.6 Q1–2 C8.12, HW8.2 4.12 Ex 8.6 Q3–6 Chapter 8 review Personal Learning Activity 8 DIY Summary 8 C8.13 3.12, 4.12 S – language Review questions 8 Review questions 8 Assignment 8 3.12, 4.12 Q9–12 Q1–8 Replay 8 Replay and Problem N, P, M, D, S Solving HW8.1, HW8.2

9 Equations Home page: Soaking up the gravy Wordsearch 9 4.10 equation P – language 9.1 Number sentences Ex 9.1 Q1–5 C9.1, HW9.1 3.10 Ex 9.1 Q6–14 Copyright @ Pearson Australia (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 74081 892 6 Heinemann Maths Zone for South Australia – A Middle Years’ Approach Syllabus Audit

Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets 9.2 Using pronumerals in equations Ex 9.2 Q1–5 C9.2, HW9.1 3.11, 4.10, 4.11 Ex 9.2 Q6–11 9.3 Using a flowchart Ex 9.3 Q1–11 C9.3, C9.4, HW9.2 3.10 Ex 9.3 Q12–14 Activity: The mindreader game 3.10 9.4 Building expressions with Ex 9.4 Q1–8 C9.5, HW9.2 4.10 flowcharts Ex 9.4 Q9–13 9.5 Solving equations using Ex 9.5 Q1–9 C9.6, C9.7, HW9.3 4.10 backtracking Ex 9.5 Q10–14 Maths in Action: Pedal-powered 4.10, 4.11 flight Investigation: Guess, check and 4.10, 4.11 improve Computer investigation: Solving 4.10, 4.11 equations using substitution 9.6 Solving problems with equations Ex 9.6 Q1–5 HW9.3 3.11, 4.10, 4.11 Ex 9.6 Q6–16 Activity: Algebraic puzzles 3.10 Laugh zone 4.10 Chapter 9 review Personal Learning Activity 9 DIY Summary 9 C9.8 3.10, 4.10 P – language Review questions 9 Review questions 9 Assignment 9 3.10, 3.11, 4.10, Q10–13 Q1–9 4.11 Replay 9 Replay and Problem N, P, M, S Solving HW9.1, HW9.2, HW9.3

10 Shapes Home page: Bringing shapes to life Wordsearch 10 3.12, 4.12 S– language 10.1 Triangles Ex 10.1 Q1–6 C10.1, C10.2, C10.3, 3.12 Ex 10.1 Q7–12 HW10.1 Investigation: Polyiamonds 3.12 Investigation: Angle sum in a 4.12 triangle 10.2 Angle sum in a triangle Ex 10.2 Q1–3 C10.4, C10.5, HW10.1 4.12 Ex 10.2 Q4–8 10.3 Quadrilaterals Ex 10.3 Q1–4 C10.6, HW10.2 3.12 Ex 10.3 Q5–10 Activity: Quadrilateral quandaries 3.12 Copyright @ Pearson Australia (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 74081 892 6 Heinemann Maths Zone for South Australia – A Middle Years’ Approach Syllabus Audit

Heinemann Maths Zone for South Heinemann Maths Heinemann eMaths Syllabus reference Australia – A Middle Years’ Zone for South Zone for South Approach textbook Australia – A Middle Australia – A Middle Years’ Approach Years’ Approach Workbook worksheets 10.4 Angle sum in a quadrilateral Ex 10.4 Q1–2 C10.7, C10.8, HW10.2 4.12 Ex 10.4 Q3–7 Laugh Zone 4.12 10.5 Polygons Ex 10.5 Q1–5 C10.9, HW10.3 3.12 Ex 10.5 Q6–9 Investigation: Angle sum in a C10.10 4.12 polygon 10.6 Compass constructions Ex 10.6 Q1–4 C10.11, HW10.3 3.12, 4.12 Ex 10.6 Q5 Maths@Work: Graphic designer 3.14, 4.14 10.7 Plane shapes with curves Ex 10.7 Q1–2 C10.12, HW10.3 3.12, 4.12 Ex 10.6 Q3–5 10.8 Transformations Ex 10.8 Q1–9 C10.13, C10.14, 3.13, 4.13 Ex 10.8 Q10–12 C10.15, C10.16, HW10.3 Computer investigation: Using 3.13, 4.13 Microworlds or LOGO 10.9 Solids Ex 10.9 Q1–6 C10.17, C10.18, 3.12, 4.12 Ex 10.9 Q7–12 C10.19, HW10.3 Chapter 10 review Personal Learning Activity 10 DIY Summary 10 C10.20 3.12 S – language Review questions 10 Review questions 10 Assignment 10 3.12, 3.13, 4.12, Q18–23 Q1–17 4.13 Replay 10 Replay and Problem N, P, M, S Solving HW10.1, HW10.2, HW10.3

Rich tasks 1 Numbers in the news Chapters 1, 4, 5 3.3, 3.6, 4.2 2 Measuring up Chapters 1, 4, 5, 6, 8, 3.4, 3.5, 3.14, 4.4, 10 4.5, 4.14 3 How long is your stride? Chapters 1, 5, 6 3.2, 3.3, 3.9, 4.2, 4.4, 4.9 4 Planning a trip Chapters 1, 5, 6 3.6, 4.4, 4.14 5 Lolly maths Chapters 1, 2 3.1, 3.2, 3.3, 4.1, 4.3

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