Jacaranda Maths Quest 11 Foundation Mathematics VCE Units 1&2 Second Edition (learnON & Print)

Part of the series Maths Quest VCE.

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Jacaranda Maths Quest 11 Foundation Mathematics VCE Units 1 and 2

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The best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for VCE students.

Investigations are available for all Units to build student competence and confidence.

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Table of Contents

About this resource vii

Acknowledgements xiv

1 Integers 1

1.1 Overview 2

1.2 Adding and subtracting integers 3

1.3 Multiplying integers 8

1.4 Dividing integers 11

1.5 Combining operations on integers 14

1.6 Review 19

Answers 22

2 Fractions 25

2.1 Overview 26

2.2 Introducing fractions 27

2.3 Simplifying fractions 36

2.4 Mixed numbers and improper fractions 40

2.5 Adding and subtracting fractions 46

2.6 Multiplying fractions 51

2.7 Dividing fractions 58

2.8 Working with mixed numbers 62

2.9 Review 68

Answers 71

3 Decimals 77

3.1 Overview 78

3.2 Place value and comparing decimals 79

3.3 Converting decimals to fractions and fractions to decimals 85

3.4 Rounding and repeating decimals 90

3.5 Adding and subtracting decimals 96

3.6 Multiplying decimals (including powers of 10) 101

3.7 Dividing decimals (including powers of 10) 106

3.8 Review 113

Answers 115

4 Powers and roots 119

4.1 Overview 120

4.2 Index (power) notation 121

4.3 Squares and square roots 126

4.4 Using powers and roots to solve practical problems 130

4.5 Review 139

Answers 141

5 Estimation and approximation 143

5.1 Overview 144

5.2 Rounding and estimation 145

5.3 Reasonableness and calculator skills 148

5.4 Order of magnitude 154

5.5 Approximation 161

5.6 Review 168

Answers 172

6 Ratios and proportions 175

6.1 Overview 176

6.2 Introduction to ratios 177

6.3 Ratios of two quantities 184

6.4 Divide into ratios 194

6.5 Scales, diagrams and maps 203

6.6 Proportion 210

6.7 Review 216

Answers 220

7 Rates 223

7.1 Overview 224

7.2 Identifying rates 225

7.3 Conversion of rates 230

7.4 Comparison of rates 234

7.5 Rates and costs 237

7.6 Review 248

Answers 251

8 Percentages 255

8.1 Overview 256

8.2 Calculating percentages 257

8.3 Express as a percentage 264

8.4 Percentage decrease and increase 269

8.5 Simple interest 275

8.6 Review 281

Answers 284

9 Equations 287

9.1 Overview 288

9.2 Number patterns and pronumerals 289

9.3 Building expressions 296

9.4 Backtracking to solve equations 300

9.5 Balancing equations 304

9.6 Solving equations 309

9.7 Rearranging formulas 313

9.8 Applications of equations and formulas 317

9.9 Review 321

Answers 324

10 Collecting and classifying data 329

10.1 Overview 330

10.2 Collecting data 331

10.3 Simple survey procedures 340

10.4 Classifying data 349

10.5 Categorical data 353

10.6 Numerical data 371

10.7 Comparing and interpreting data 385

10.8 Review 392

Answers 398

11 Financial systems and income payments 409

11.1 Overview 410

11.2 Purchasing methods 411

11.3 Financial systems - permanent employment 419

11.4 Financial systems - taxation and deductions 424

11.5 Income payments - commission, piecework and royalties 432

11.6 Income payments and calculations 437

11.7 Review 445

Answers 449

12 Length and area 453

12.1 Overview 454

12.2 SI units, length and estimation 455

12.3 Perimeters of familiar and composite shapes 462

12.4 Units of area and estimation 471

12.5 Areas of regular shapes 478

12.6 Surface areas of familiar prisms 486

12.7 Review 492

Answers 496

13 Volume, capacity and mass 499

13.1 Overview 500

13.2 Volume of prisms and capacity 501

13.3 Volume of spheres and composite shapes 509

13.4 Mass 513

13.5 Review 518

Answers 521

14 Presenting and interpreting data 523

14.1 Overview 524

14.2 Measures of central tendency and the outlier effect 525

14.3 Measures of spread 535

14.4 Describing graphical distributions 547

14.5 Characteristics of data sets 558

14.6 Drawing and using column and pie graphs 579

14.7 Misleading graphs 588

14.8 Graphing and technology 596

14.9 Review 606

Answers 615

15 Managing finances 627

15.1 Overview 628

15.2 Products and services 629

15.3 Rent and utilities costs 634

15.4 Credit cards 645

15.5 Personal income-related expenses 656

15.6 Car expenses 662

15.7 Managing money 670

15.8 Financial and economic data trends 677

15.9 Review 685

Answers 690

16 Space, time and measurement 695

16.1 Overview 696

16.2 Conventions and geometric shapes 697

16.3 Angles and polygons 706

16.4 Angles, parallel lines and transversals 711

16.5 Constructing triangles 717

16.6 Using scales 720

16.7 Time and temperature 725

16.8 Map distances 735

16.9 Directions 739

16.10 Speed 745

16.11 Travel times 750

16.12 Review 761

Answers 765

Glossary 771

Index 777