Jacaranda Maths Quest 7 Australian Curriculum 9.0 5E learnON and Print

Jacaranda Maths Quest 7 (for Australian Curriculum v9.0)

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Table of Contents

About this resource vii

Acknowledgements xiv

Powering Up for Year 7

Week 1 Finding your place

Week 2 Numbering up

Week 3 Thinking quickly

Week 4 Fishing for fractions

Week 5 Getting to the point

Week 6 Giving 100%

NAPLAN Practice

Set A Calculator allowed

Set B Non-calculator

Set C Calculator allowed

Set D Non-calculator

Set E Calculator allowed

Set F Non-calculator

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 61

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 75

2.4 Adding integers 80

2.5 Subtracting integers 85

2.6 Multiplying and dividing integers 91

2.7 Order of operations with integers 97

2.8 Review 102

Answers 109

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 150

3.9 Review 155

Answers 162

4 Fractions and Percentages 167

4.1 Overview 168

4.2 What are fractions? 170

4.3 Simplifying fractions 182

4.4 Mixed numbers and improper fractions 186

4.5 Adding and subtracting fractions 192

4.6 Multiplying fractions 200

4.7 Dividing fractions 208

4.8 Working with mixed numbers 213

4.9 Percentages as fractions 220

4.10 Calculating percentages of an amount 225

4.11 One amount as a percentage of another 230

4.12 Common percentages and short cuts 236

4.13 Review 242

Answers 251

5 Ratios, Rates and Best Buys 261

5.1 Overview 262

5.2 Ratios 265

5.3 Rates 271

5.4 The unitary method and best buys 276

5.5 Review 281

Answers 286

6 Decimals 289

6.1 Overview 290

6.2 Decimals and place value 292

6.3 Converting decimals to fractions and fractions to decimals 300

6.4 Rounding and repeating decimals 305

6.5 Adding and subtracting decimals 311

6.6 Multiplying decimals 317

6.7 Dividing decimals 323

6.8 Decimals and percentages 330

6.9 Review 333

Answers 340

7 Algebra 347

7.1 Overview 348

7.2 Introduction to algebra 350

7.3 Substituting and evaluating 358

7.4 Simplifying expressions using like terms 362

7.5 Multiplying and dividing terms 367

7.6 Number laws 371

7.7 Expanding brackets 375

7.8 Review 379

Answers 385

Semester review 1 390

8 Equations 393

8.1 Overview 394

8.2 Introduction to equations 396

8.3 Building up expressions and backtracking 402

8.4 Solving equations using backtracking 408

8.5 Solving equations using inverse operations 415

8.6 Checking solutions 424

8.7 Review 429

Answers 435

9 Geometry 441

9.1 Overview 442

9.2 Measuring angles 445

9.3 Constructing angles with a protractor 453

9.4 Types of angles and naming angles 459

9.5 Triangles 465

9.6 Quadrilaterals and their properties 477

9.7 Parallel and perpendicular lines 487

9.8 Review 498

Answers 507

10 Measurement 517

10.1 Overview 518

10.2 Units of measurement 521

10.3 Reading scales and measuring length 528

10.4 Perimeter 536

10.5 Circles and circumference 544

10.6 Area 553

10.7 Area of composite shapes 566

10.8 Volume of rectangular prisms 571

10.9 Capacity 579

10.10 Drawing solids 583

10.11 Review 594

Answers 605

11 Coordinates and the Cartesian Plane 613

11.1 Overview 614

11.2 The Cartesian plane 617

11.3 Linear number patterns 625

11.4 Plotting simple linear relationships 632

11.5 Interpreting graphs 639

11.6 Review 651

Answers 659

12 Transformations 671

12.1 Overview 672

12.2 Line and rotational symmetry 674

12.3 Translations 680

12.4 Reflections 686

12.5 Rotations and combined transformations 693

12.6 Review 705

Answers 711

13 Introduction to Probability 723

13.1 Overview 724

13.2 The language of chance 726

13.3 The sample space 731

13.4 Simple probability 736

13.5 Experimental probability 742

13.6 Review 750

Answers 757

14 Representing and Interpreting Data 763

14.1 Overview 764

14.2 Collecting and classifying data 767

14.3 Displaying data in tables 774

14.4 Measures of centre and spread 780

14.5 Column graphs and dot plots 791

14.6 Stem-and-leaf plots 798

14.7 Pie charts and divided bar graphs 804

14.8 Comparing data 814

14.9 Review 820

Answers 829

Semester review 2 842

15 Algorithmic Thinking

15.1 Overview

15.2 Variables

15.3 Expressions

15.4 Sequences

15.5 Algorithms

15.6 Review

Answers

Glossary 844

Index 850