# Jacaranda Maths Quest 7 Australian Curriculum 3E LearnON & Print

 Author(s): Smith ISBN: 9780730346722 Pub date: November 2017 RRP: \$79.95
Jacaranda Maths Quest 7 Australian Curriculum, 3rd Edition learnON & Print

This combined print and digital title provides 100% coverage of the Australian Curriculum for Mathematics. The textbook comes with a complimentary activation code for learnON, the powerful digital learning platform making learning personalised and visible for both students and teachers.

The latest editions of Jacaranda Maths Quest Australian Curriculum series include these key features:

• Videos to address the 50 most commonly held misconceptions about maths are directly embedded at the point of learning
• Worked examples featuring the familiar THINK/WRITE columns provide exemplary solutions and explanations
• Carefully graded questions in each exercise enables progression and caters to learners of different levels
• Fully worked solutions demonstrate best practice and help prevent misconceptions
• Investigations and rich tasks that provide students with opportunities for open-ended problem solving
• Reading content with integrated media providing a dynamic and uninterrupted learning experience

For teachers, learnON includes additional teacher resources such as quarantined questions and answers, curriculum grids and work programs.

To complement the Maths Quest series, assessON Maths Quest is available for Years 7–10.

Acknowledgements xii

Topic 1 Numeracy 1 1

1.1 Overview 1

1.2 Set A 2

1.3 Set B 6

Topic 2 Positive integers 10

2.1 Overview 10

2.2 Place value 11

2.3 Adding and subtracting positive integers 14

2.4 Multiplying and dividing positive integers 20

2.5 Long division 29

2.6 Order of operations 32

2.7 Factors and multiples 35

2.8 Lowest common multiple and highest common factor 39

2.9 Estimation 45

2.10 Review 48

Topic 3 Indices and primes 63

3.1 Overview 63

3.2 Index notation 64

3.3 Prime numbers and composite numbers 67

3.4 Squares and square roots 73

3.5 Cubes and cube roots 76

3.6 Review 79

Project: We are not alone! 89

Topic 4 Rational numbers 91

4.1 Overview 91

4.2 What are rational numbers? 92

4.3 Simplifying rational numbers 100

4.4 Mixed numbers and improper fractions 103

4.5 Adding and subtracting rational numbers 107

4.6 Multiplying rational numbers 112

4.7 Dividing rational numbers 116

4.8 Fractions as ratios 119

4.9 Working with mixed numbers 126

4.10 Review 132

Topic 5 Geometry 145

5.1 Overview 145

5.2 Measuring angles 146

5.3 Constructing angles with a protractor 153

5.4 Types of angles and naming angles 157

5.5 Triangles 163

5.6 Quadrilaterals and their properties 174

5.7 Parallel and perpendicular lines 181

5.8 Review 188

Topic 6 Decimals 204

6.1 Overview 204

6.2 Place value and comparing decimals 205

6.3 Converting decimals to fractions and fractions to decimals 211

6.4 Rounding and repeating decimals 215

6.5 Adding and subtracting decimals 220

6.6 Multiplying decimals (including by multiples of 10) 226

6.7 Dividing decimals (including by multiples of 10) 232

6.8 Review 237

Topic 7 Percentages 249

7.1 Overview 249

7.2 Percentages as fractions 250

7.3 Percentages as decimals 254

7.4 Fractions and decimals to percentages 256

7.5 Finding percentages of an amount 262

7.6 One amount as a percentage of another 268

7.7 Common percentages and short cuts 273

7.8 Review 277

Topic 8 Algebra 288

8.1 Overview 288

8.2 Using rules 289

8.3 Finding a formula 294

8.4 Substitution 300

8.5 Terms, expressions and equations 306

8.6 Simplifying and the distributive law 312

8.7 The associative law 317

8.8 Review 319

Topic 9 Measurement 335

9.1 Overview 335

9.2 Units of measurement and converting units of measurement 336

9.3 Reading scales and measuring length 342

9.4 Perimeter 349

9.5 Area 356

9.6 Area of composite shapes, using addition and subtraction 370

9.7 Volume 375

9.8 Capacity 385

9.9 Review 388

Project: Sustainable by design 406

Topic 10 Probability 409

10.1 Overview 409

10.2 The language of chance 410

10.3 The sample space 414

10.4 Simple probability 416

10.5 Using a table to show sample spaces 421

10.6 Experimenting with chance 426

10.7 Review 435

Topic 11 Numeracy 2 449

11.1 Overview 449

11.2 Set C 450

11.3 Set D 452

Topic 12 Positive and negative integers 458

12.1 Overview 458

12.2 Integers on the number line 459

12.3 Integers on the number plane 463

12.4 Addition and subtraction of integers 466

12.5 Multiplication and division of integers 472

12.6 Combined operations 477

12.7 Review 480

Topic 13 Linear equations 494

13.1 Overview 494

13.2 Solving equations using trial and error 495

13.3 Using inverse operations 499

13.4 Building up expressions 503

13.5 Solving equations using backtracking 507

13.6 Checking solutions 514

13.7 Keeping equations balanced 518

13.8 Review 524

Topic 14 Representing and interpreting data 536

14.1 Overview 536

14.2 Classifying data 537

14.3 Displaying data in tables 540

14.4 Measures of centre and spread 546

14.5 Representing data graphically 553

14.6 Comparing data 565

14.7 Review 570

Topic 15 Coordinates and the Cartesian plane 588

15.1 Overview 588

15.2 Alphanumeric grid references on a map 589

15.3 The Cartesian plane 597

15.4 Plotting simple linear relationships 603

15.5 Interpreting graphs 607

15.6 Review 613

Topic 16 Transformations 630

16.1 Overview 630

16.2 Axes of symmetry 631

16.3 Translations 637

16.4 Reflections 643

16.5 Rotations and combined transformations 649

16.6 Review 659

Topic 17 Views of 3-D shapes 670

17.1 Overview 670

17.2 Scales and house plans 671

17.3 Plans and views 678

17.4 Isometric drawing 684

17.5 Review 688

Topic 18 Money 697

18.1 Overview 697

18.2 Money 698

18.3 Money and percentages 702

18.4 Unitary method 706

18.5 Review 709

Topic 19 Numeracy 3 716

19.1 Overview 716

19.2 Set E 717

19.3 Set F 720

Topic 20 Programming

20.1 Overview

20.2 Variables

20.3 Expressions

20.4 Sequences

20.5 Algorithms

20.6 Review