Jacaranda Maths Quest 7 Australian Curriculum, learnON and Print

Naplan Practice vii

About This Resource viii

Acknowledgements xiv

Powering up for Year 7 xvii

1 Positive integers 1

1.1 Overview 2

1.2 Place value 4

1.3 Strategies for adding and subtracting positive integers 10

1.4 Algorithms for adding and subtracting positive integers 16

1.5 Multiplying positive integers 25

1.6 Dividing positive integers 34

1.7 Rounding and estimating 41

1.8 Order of operations 45

1.9 Review 52

Answers 62

2 Positive and negative integers 67

2.1 Overview 68

2.2 Integers on the number line 70

2.3 Integers on the number plane 76

2.4 Adding integers 81

2.5 Subtracting integers 86

2.6 Multiplying and dividing integers (extending) 92

2.7 Order of operations with integers (extending) .. 98

2.8 Review 102

Answers 110

3 Factors, multiples, indices and primes 115

3.1 Overview 116

3.2 Factors and multiples 118

3.3 Lowest common multiple and highest common factor 123

3.4 Index notation 128

3.5 Prime and composite numbers 133

3.6 Squares and square roots 141

3.7 Divisibility tests 147

3.8 Cubes and cube roots (extending) 150

3.9 Review 155

Answers 163

4 Fractions and percentages 169

4.1 Overview 170

4.2 What are fractions? 172

4.3 Simplifying fractions 184

4.4 Mixed numbers and improper fractions 188

4.5 Adding and subtracting fractions 194

4.6 Multiplying fractions 202

4.7 Dividing fractions 210

4.8 Working with mixed numbers 215

4.9 Percentages as fractions 222

4.10 Calculating percentages of an amount 227

4.11 One amount as a percentage of another 232

4.12 Common percentages and short cuts 238

4.13 Review 244

Answers 254

5 Ratios, rates and best buys 263

5.1 Overview 264

5.2 Ratios 267

5.3 Rates 273

5.4 The unitary method and best buys 278

5.5 Review 283

Answers 289

6 Decimals 291

6.1 Overview 292

6.2 Decimals and place value 294

6.3 Converting decimals to fractions and fractions to decimals 302

6.4 Rounding and repeating decimals (extending) 307

6.5 Adding and subtracting decimals 313

6.6 Multiplying decimals 319

6.7 Dividing decimals 325

6.8 Decimals and percentages 332

6.9 Review 335

Answers 343

7 Algebra 349

7.1 Overview 350

7.2 Introduction to algebra 352

7.3 Substituting and evaluating 360

7.4 Simplifying expressions using like terms 364

7.5 Multiplying and dividing terms 369

7.6 Number laws 373

7.7 Expanding brackets (extending) 377

7.8 Review 381

Answers 388

Semester review 1 392

8 Equations 395

8.1 Overview 396

8.2 Introduction to equations 398

8.3 Building up expressions and backtracking 404

8.4 Solving equations using backtracking 410

8.5 Solving equations using inverse operations 417

8.6 Checking solutions 426

8.7 Review 431

Answers 438

9 Geometry 443

9.1 Overview 444

9.2 Measuring angles 447

9.3 Constructing angles with a protractor 455

9.4 Types of angles and naming angles 461

9.5 Triangles 467

9.6 Quadrilaterals and their properties 479

9.7 Parallel and perpendicular lines 489

9.8 Review 500

Answers 510

10 Measurement 519

10.1 Overview 520

10.2 Units of measurement 523

10.3 Reading scales and measuring length 530

10.4 Perimeter 538

10.5 Area 546

10.6 Area of composite shapes (extending) 559

10.7 Volume of rectangular prisms 564

10.8 Capacity 572

10.9 Drawing solids 576

10.10 Review 587

Answers 599

11 Coordinates and the Cartesian plane 607

11.1 Overview 608

11.2 The Cartesian plane 611

11.3 Linear number patterns 619

11.4 Plotting simple linear relationships 626

11.5 Interpreting graphs 633

11.6 Review 645

Answers 654

12 Transformations 665

12.1 Overview 666

12.2 Line and rotational symmetry 668

12.3 Translations 674

12.4 Reflections 680

12.5 Rotations and combined transformations 687

12.6 Review 698

Answers 704

13 Introduction to probability 715

13.1 Overview 716

13.2 The language of chance 718

13.3 The sample space 723

13.4 Simple probability 728

13.5 Experimental probability (extending) 734

13.6 Review 742

Answers 750

14 Representing and interpreting data 755

14.1 Overview 756

14.2 Collecting and classifying data 759

14.3 Displaying data in tables 766

14.4 Measures of centre and spread 772

14.5 Column graphs and dot plots 783

14.6 Stem-and-leaf plots 789

14.7 Pie charts and divided bar graphs (extending) 795

14.8 Comparing data 806

14.9 Review 812

Answers 822

Semester review 2 834

15 Algorithmic thinking

15.1 Overview

15.2 Variables

15.3 Expressions

15.4 Sequences

15.5 Algorithms

15.6 Review

Answers

Glossary 836

Index 842