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# Jacaranda Maths Quest 7 Stage 4 NSW Australian curriculum 2e learnON & Print

ISBN 9780730347378
Edition 2
Publication Date
Publisher Jacaranda
Overview

Overview ix

Acknowledgements xi

1 NAPLAN Practice 1

1.1 Overview 1

1.2 NAPLAN Practice 1 2

1.3 NAPLAN Practice 2 7

1.4 NAPLAN Practice 3 13

1.5 Review 20

2 Computation with Integers 23

2.1 Overview 23

2.2 Place Value 24

2.3 Adding and Subtracting Positive Integers 28

2.4 Multiplying and Dividing Positive Integers 33

2.5 Long Division 41

2.6 Rounding and Estimating 45

2.7 Integers on the Number Line 48

2.8 Addition and Subtraction of Integers 53

2.9 Multiplication and Division of Integers 58

2.10 Order of Operations 62

2.11 Review 67

3 Factors, Multiples, Indices and Primes 87

3.1 Overview 87

3.2 Factors and Multiples 88

3.3 Lowest Common Multiple and Highest Common Factor 92

3.4 Index Notation 98

3.5 Prime Numbers and Composite Numbers 101

3.6 Squares and Square Roots 106

3.7 Cubes and Cube Roots 111

3.8 Review 114

4 Fractions 127

4.1 Overview 127

4.2 What are Fractions? 128

5 Geometry 175

5.1 Overview 175

5.2 Types of Angles and Naming Angles 176

5.3 Parallel and Perpendicular Lines 182

5.4 Triangles 190

5.6 Line and Rotational Symmetry 209

5.7 Review 214

6 Decimals 233

6.1 Overview 233

6.2 Place Value and Comparing Decimals 234

6.3 Converting Decimals to Fractions and Fractions to Decimals 240

6.4 Rounding and Repeating Decimals 244

6.5 Adding and Subtracting Decimals 249

6.6 Multiplying Decimals (Including by Multiples of 10) 254

6.7 Dividing Decimals (Including by Multiples of 10) 260

6.8 Review 266

7 Percentages 277

7.1 Overview 277

7.2 Percentages as Fractions 278

7.3 Percentages as Decimals 282

7.4 Fractions and Decimals to Percentages 284

7.5 Finding Percentages of an Amount 289

7.6 One Amount as a Percentage of Another 296

7.7 Common Percentages and Short Cuts 300

7.8 Review 305

8 Algebraic Techniques 317

8.1 Overview 317

8.2 Using Rules 318

8.3 Finding a Formula 323

8.4 Substitution 329

8.5 Terms, Expressions and Equations 336

8.6 Simplifying and the Distributive Law 342

8.7 The Associative and Commutative Laws 348

8.8 Review 350

9 Measurement 367

9.1 Overview 367

9.2 Units of Measurement and Converting Units of Measurement 368

9.3 Reading Scales and Measuring Length 374

9.4 Perimeter 381

9.5 Area 388

9.6 Area of Composite Shapes, Using Addition and Subtraction .401

9.7 Volume 406

9.8 Capacity 416

9.9 Plans and Views 419

9.10 Review 427

10 Probability 447

10.1 Overview 447

10.2 The Language of Chance 448

10.3 The Sample Space 452

10.4 Simple Probability 454

10.5 Using a Table to Show Sample Spaces 459

10.6 Experimenting with Chance 464

10.7 Review 470

11 Equations 483

11.1 Overview 483

11.2 Solving Equations Using Trial and Error 484

11.3 Building up Expressions 489

11.4 Solving Equations Using Backtracking 494

11.5 Keeping Equations Balanced 499

11.6 Checking Solutions 505

11.7 Review 509

12 Representing and Interpreting Data 519

12.1 Overview 519

12.2 Classifying Data 520

12.3 Displaying Data in Tables 522

12.4 Measures of Centre and Spread 527

12.5 Representing Data Graphically 1 535

12.6 Representing Data Graphically 2 544

12.7 Comparing Data 555

12.8 Review 559

Glossary 579

Index 585

Overview

Overview ix

Acknowledgements xi

1 NAPLAN Practice 1

1.1 Overview 1

1.2 NAPLAN Practice 1 2

1.3 NAPLAN Practice 2 7

1.4 NAPLAN Practice 3 13

1.5 Review 20

2 Computation with Integers 23

2.1 Overview 23

2.2 Place Value 24

2.3 Adding and Subtracting Positive Integers 28

2.4 Multiplying and Dividing Positive Integers 33

2.5 Long Division 41

2.6 Rounding and Estimating 45

2.7 Integers on the Number Line 48

2.8 Addition and Subtraction of Integers 53

2.9 Multiplication and Division of Integers 58

2.10 Order of Operations 62

2.11 Review 67

3 Factors, Multiples, Indices and Primes 87

3.1 Overview 87

3.2 Factors and Multiples 88

3.3 Lowest Common Multiple and Highest Common Factor 92

3.4 Index Notation 98

3.5 Prime Numbers and Composite Numbers 101

3.6 Squares and Square Roots 106

3.7 Cubes and Cube Roots 111

3.8 Review 114

4 Fractions 127

4.1 Overview 127

4.2 What are Fractions? 128

5 Geometry 175

5.1 Overview 175

5.2 Types of Angles and Naming Angles 176

5.3 Parallel and Perpendicular Lines 182

5.4 Triangles 190

5.6 Line and Rotational Symmetry 209

5.7 Review 214

6 Decimals 233

6.1 Overview 233

6.2 Place Value and Comparing Decimals 234

6.3 Converting Decimals to Fractions and Fractions to Decimals 240

6.4 Rounding and Repeating Decimals 244

6.5 Adding and Subtracting Decimals 249

6.6 Multiplying Decimals (Including by Multiples of 10) 254

6.7 Dividing Decimals (Including by Multiples of 10) 260

6.8 Review 266

7 Percentages 277

7.1 Overview 277

7.2 Percentages as Fractions 278

7.3 Percentages as Decimals 282

7.4 Fractions and Decimals to Percentages 284

7.5 Finding Percentages of an Amount 289

7.6 One Amount as a Percentage of Another 296

7.7 Common Percentages and Short Cuts 300

7.8 Review 305

8 Algebraic Techniques 317

8.1 Overview 317

8.2 Using Rules 318

8.3 Finding a Formula 323

8.4 Substitution 329

8.5 Terms, Expressions and Equations 336

8.6 Simplifying and the Distributive Law 342

8.7 The Associative and Commutative Laws 348

8.8 Review 350

9 Measurement 367

9.1 Overview 367

9.2 Units of Measurement and Converting Units of Measurement 368

9.3 Reading Scales and Measuring Length 374

9.4 Perimeter 381

9.5 Area 388

9.6 Area of Composite Shapes, Using Addition and Subtraction .401

9.7 Volume 406

9.8 Capacity 416

9.9 Plans and Views 419

9.10 Review 427

10 Probability 447

10.1 Overview 447

10.2 The Language of Chance 448

10.3 The Sample Space 452

10.4 Simple Probability 454

10.5 Using a Table to Show Sample Spaces 459

10.6 Experimenting with Chance 464

10.7 Review 470

11 Equations 483

11.1 Overview 483

11.2 Solving Equations Using Trial and Error 484

11.3 Building up Expressions 489

11.4 Solving Equations Using Backtracking 494

11.5 Keeping Equations Balanced 499

11.6 Checking Solutions 505

11.7 Review 509

12 Representing and Interpreting Data 519

12.1 Overview 519

12.2 Classifying Data 520

12.3 Displaying Data in Tables 522

12.4 Measures of Centre and Spread 527

12.5 Representing Data Graphically 1 535

12.6 Representing Data Graphically 2 544

12.7 Comparing Data 555

12.8 Review 559