Jacaranda Maths Quest 9 for Western Australia (learnON & Print)

Part of the series Maths Quest for Western Australia.

View all products in this series

---

Jacaranda Maths Quest For Western Australia

Developed by expert Australian teachers for ALL students

Tried, tested and trusted. The Maths Quest series focuses on helping teachers achieve learning success for every student - ensuring no student is left behind and no student is held back.

Because both what and how students learn matter

Table of Contents

About this resource vii

The new jacTUTOR xiv

Acknowledgements xv

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

STRAND Number and algebra 1

1 Number skills and index laws 1

Sub-strands

Understanding number | Calculating with number |

Algebraic techniques

1.1 Overview 2

1.2 Real numbers 4

1.3 Rounding numbers and significant figures 11

1.4 Review of index laws 16

1.5 Raising powers 24

1.6 Negative indices 28

1.7 Scientific notation 34

1.8 Square roots and cube roots 41

1.9 Surds (extending) 44

1.10 Review 56

2 Algebra 71

Sub-strand

Algebraic techniques

2.1 Overview 72

2.2 Using variables 74

2.3 Algebra in worded problems 83

2.4 Simplification of algebraic expressions 88

2.5 Expanding brackets 96

2.6 Difference of two squares and perfect squares 105

2.7 Further expansions 110

2.8 The highest common factor 113

2.9 The highest common binomial factor (extending) 118

2.10 Solving worded problems 122

2.11 Review 130

3 Linear equations 145

Sub-strand

Linear and non-linear equations and inequalities

3.1 Overview 146

3.2 Solving multi-step linear equations 148

3.3 Solving linear equations with brackets 156

3.4 Solving linear equations with variables on both sides 160

3.5 Solving problems with linear equations 164

3.6 Rearranging formulas 170

3.7 Review 175

4 Linear graphs 185

Sub-strand

Linear and non-linear patterns and relationships

4.1 Overview 186

4.2 Plotting linear graphs 189

4.3 Features of linear graphs 195

4.4 The equation of a straight line 203

4.5 Sketching linear graphs 211

4.6 Technology and linear graphs 219

4.7 Practical applications of linear graphs 223

4.8 Midpoint of a line segment and distance between two points 228

4.9 Review 235

5 Proportions 257

Sub-strand

Linear and non-linear patterns and relationships

5.1 Overview 258

5.2 Direct proportion 260

5.3 Proportionality 265

5.4 Indirect proportion (optional) 270

5.5 Review 275

6 Quadratic equations and graphs 283

Sub-strands

Linear and non-linear equations and inequalities | Linear and

non-linear patterns and relationships

6.1 Overview 284

6.2 Quadratic equations 286

6.3 The Null Factor Law (optional) 290

6.4 Graphing quadratic functions of the form 294

6.5 Review 300

7 Financial mathematics 309

Sub-strand

Financial mathematics

7.1 Overview 310

7.2 Salaries and wages 313

7.3 Penalty rates 318

7.4 Piecework, commission and royalties 323

7.5 Simple interest 330

7.6 Review 338

Modelling with number and algebra 347

STRAND Measurement and geometry 351

8 Pythagoras and trigonometry 351

Sub-strand

Two-dimensional space and structures

8.1 Overview 352

8.2 Pythagoras’ theorem 356

8.3 Applications of Pythagoras’ theorem 365

8.4 Trigonometric ratios 373

8.5 Calculating unknown side lengths 382

8.6 Calculating unknown angles 391

8.7 The unit circle (optional) 399

8.8 Review 406

9 Measurement 421

Sub-strands

Two-dimensional space and structures | Three-dimensional

space and structures

9.1 Overview 422

9.2 Perimeter and circumference 426

9.3 Area 433

9.4 Area and perimeter of a sector 443

9.5 Surface area of rectangular and triangular prisms 450

9.6 Surface area of a cylinder 456

9.7 Volume of prisms and cylinders 461

9.8 Review 474

10 Congruence and similarity 487

Sub-strand

Two-dimensional space and structures

10.1 Overview 488

10.2 Ratio and scale 491

10.3 Congruent figures 502

10.4 Similar figures 510

10.5 Area and volume of similar figures (extending) 522

10.6 Review 531

Modelling with measurement and geometry 545

STRAND Probability and statistics 549

11 Probability 549

Sub-strand

Probability and statistics

11.1 Overview 550

11.2 Theoretical probability 556

11.3 Experimental probability 563

11.4 Venn diagrams and two-way tables 572

11.5 Compound events 589

11.6 Review 602

12 Statistics 617

Sub-strand

Probability and statistics

12.1 Overview 618

12.2 Collecting data 622

12.3 Organising data 634

12.4 Displaying data 644

12.5 Measures of centre 659

12.6 Comparing multiple data sets 675

12.7 Review 689

Modelling with probability and statistics 711

Glossary