# Jacaranda Maths Quest 9 Australian Curriculum 3E LearnON & Print

 Author(s): Barnes ISBN: 9780730346326 Pub date: November 2017 RRP: \$79.95
Jacaranda Maths Quest 9 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 4

Topic 2 Number skills 9

2.1 Overview 9

2.2 Rational numbers 10

2.3 Surds 14

2.4 Real numbers 24

2.5 Scientific notation 27

2.6 Review 32

Topic 3 Algebra 42

3.1 Overview 42

3.2 Using pronumerals 43

3.3 Algebra in worded problems 49

3.4 Simplifying algebraic expressions 53

3.5 Expanding brackets 58

3.6 Expansion patterns 65

3.7 Further expansions 69

3.8 The highest common factor 71

3.9 The highest common binomial factor 75

3.10 Applications 78

3.11 Review 85

Topic 4 Linear equations 101

4.1 Overview 101

4.2 Solving linear equations 102

4.3 Solving linear equations with brackets 109

4.4 Solving linear equations with pronumerals on both sides 111

4.5 Solving problems with linear equations 115

4.6 Rearranging formulas 119

4.7 Review 122

Topic 5 Congruence and similarity 132

5.1 Overview 132

5.2 Ratio and scale 133

5.3 Congruent figures 140

5.4 Similar figures 147

5.5 Area and volume of similar figures 157

5.6 Review 162

Topic 6 Pythagoras and trigonometry 174

6.1 Overview 174

6.2 Pythagoras’ theorem 175

6.3 Applications of Pythagoras’ theorem 183

6.4 What is trigonometry? 189

6.5 Calculating unknown side lengths 196

6.6 Calculating unknown angles 203

6.7 Angles of elevation and depression 209

6.8 Review 215

Project: Learning or earning? 229

Topic 7 Linear and non-linear graphs 231

7.1 Overview 231

7.2 Plotting linear graphs 232

7.3 The equation of a straight line 236

7.4 Sketching linear graphs 245

7.5 Technology and linear graphs 250

7.6 Determining linear rules 253

7.7 Practical applications of linear graphs 260

7.8 Midpoint of a line segment and distance between two points 264

7.9 Non-linear relations (parabolas, hyperbolas, circles) 269

7.10 Review 276

Topic 8 Proportion and rates 297

8.1 Overview 297

8.2 Direct proportion 298

8.3 Direct proportion and ratio 302

8.4 Inverse proportion 306

8.5 Introduction to rates 310

8.6 Constant and variable rates 312

8.7 Rates of change 318

8.8 Review 323

Topic 9 Numeracy 2 336

9.1 Overview 336

9.2 Set C 337

9.3 Set D 340

Topic 10 Indices 345

10.1 Overview 345

10.2 Review of index laws 346

10.3 Raising a power to another power 352

10.4 Negative indices 356

10.5 Square roots and cube roots 360

10.6 Review 363

Topic 11 Financial mathematics 373

11.1 Overview 373

11.2 Salaries and wages 374

11.3 Special rates 377

11.4 Piecework 382

11.5 Commission and royalties 385

11.7 Taxation and net earnings 392

11.8 Simple interest 396

11.9 Compound interest 401

11.10 Review 406

Topic 12 Measurement 416

12.1 Overview 416

12.2 Measurement 417

12.3 Area 426

12.4 Area and perimeter of a sector 436

12.5 Surface area of rectangular and triangular prisms 442

12.6 Surface area of a cylinder 447

12.7 Volume of prisms and cylinders 451

12.8 Review 461

Topic 13 Probability 475

13.1 Overview 475

13.2 Theoretical probability 476

13.3 Experimental probability 482

13.4 Venn diagrams and two-way tables 488

13.5 Two-step experiments 498

13.6 Mutually exclusive and independent events 507

13.7 Conditional probability 516

13.8 Review 521

Topic 14 Statistics 537

14.1 Overview 537

14.2 Sampling 538

14.3 Collecting data 548

14.4 Displaying data 557

14.5 Measures of central tendency 568

14.7 Review 586

Topic 15 Numeracy 3 604

15.1 Overview 604

15.2 Set E 605

15.3 Set F 609

Project: Backyard flood? 614

16.1 Overview 617

16.2 Factorisation patterns 618

16.5 Simplifying algebraic fractions 628

16.7 The Null Factor Law 637

16.8 Solving the quadratic equation ax2 + bx + c = 0 640

16.9 Solving quadratic equations with two terms 644

16.10 Applications 647

16.11 Review 650

17.1 Overview 663

17.2 Graphs of quadratic functions 664

17.3 Plotting points to graph quadratic functions 669

17.4 Sketching parabolas of the form y = ax2 675

17.5 Sketching parabolas of the form y = ax2 + c 679

17.6 Sketching parabolas of the form y = (x – h)2 683

17.7 Sketching parabolas of the form y = (x – h)2 + k 687

17.8 Sketching parabolas of the form y = (x + a) (x + b) 691

17.9 Applications 696

17.10 Review 699

Topic 18 Programming

18.1 Overview

18.2 Programs

18.3 Arrays

18.4 Loops

18.5 Set structures

18.6 Sorting algorithms

18.7 The Monte Carlo method

18.8 Review