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Jacaranda Maths Quest 10+10a Australian Curriculum3e LearnON & Print

Jacaranda Maths Quest 10+10a Australian Curriculum3e LearnON & Print
Title information
Author/s
Boucher
ISBN13 9780730346395
Pub date November 2017
Pages 912
RRP $79.95
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Jacaranda Maths Quest 10 & 10A AC 3e 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 immersive digital learning platform that replaces eBookPLUS in 2018. With learnON, students enjoy:

  • media, such as videos and interactivities, directly embedded within the reading content (no more opening in a separate browser tab!)
  • the ability to personalise their digital title through notes, highlighting and favourites
  • interactive questions for every topic, with feedback for every question
  • a dashboard showing individual progress and results

For teachers, learnON includes additional teacher resources such as quarantined questions and answers, curriculum grids and work programs—no separate eGuide purchase is required.

To complement the Maths Quest series, assessON Maths Quest is available for Years 7-10.

About this resource xi

Acknowledgements  xiii

Topic 1 Indices 1

1.1 Overview 1

1.2 Review of index laws 2

1.3 Negative indices 7

1.4 Fractional indices 11

1.5 Combining index laws 16

1.6 Review 21

Answers 26

Topic 2 Algebra and equations 31

2.1 Overview 31

2.2 Substitution 32

2.3 Adding and subtracting algebraic fractions 37

2.4 Multiplying and dividing algebraic fractions 41

2.5 Solving simple equations 45

2.6 Solving multi-step equations 50

2.7 Literal equations 54

2.8 Review 57

Answers 61

Topic 3 Coordinate geometry 66

3.1 Overview 66

3.2 Sketching linear graphs 67

3.3 Determining linear equations 75

3.4 The distance between two points 82

3.5 The midpoint of a line segment 85

3.6 Parallel and perpendicular lines 88

3.7 Review 97

Answers  104

Topic 4 Simultaneous linear equations and inequalities 112

4.1 Overview 112

4.2 Graphical solution of simultaneous linear equations 113

4.3 Solving simultaneous linear equations using substitution 119

4.4 Solving simultaneous linear equations using elimination 122

4.5 Applications of simultaneous linear equations 127

4.6 Solving simultaneous linear and non-linear equations 131

4.7 Solving linear inequalities 138

4.8 Inequalities on the Cartesian plane 142

4.9 Solving simultaneous linear inequalities 148

4.10 Review 152

Answers 158

Topic 5 Trigonometry I 167

5.1 Overview 167

5.2 Pythagoras’ theorem 168

5.3 Pythagoras’ theorem in three dimensions 175

5.4 Trigonometric ratios 180

5.5 Using trigonometry to calculate side lengths 185

5.6 Using trigonometry to calculate angle size 190

5.7 Angles of elevation and depression 196

5.8 Bearings 200

5.9 Applications 207

5.10 Review 212

Answers 218

Topic 6 Surface area and volume 224

6.1 Overview 224

6.2 Area 225

6.3 Total surface area 234

6.4 Volume 243

6.5 Review 254

Answers 261

Topic 7 Quadratic expressions 264

7.1 Overview 264

7.2 Expanding algebraic expressions 265

7.3 Factorising expressions with three terms 272

7.4 Factorising expressions with two or four terms 277

7.5 Factorising by completing the square 281

7.6 Mixed factorisation 286

7.7 Review 288

Answers 293

Topic 8 Quadratic equations 298

8.1 Overview 298

8.2 Solving quadratic equations algebraically 299

8.3 The quadratic formula 306

8.4 Solving quadratic equations graphically 310

8.5 The discriminant 315

8.6 Review 320

Answers 325

Topic 9 Non-linear relationships 329

9.1 Overview 329

9.2 Plotting parabolas 330

9.3 Sketching parabolas 337

9.4 Sketching parabolas in turning point form 343

9.5 Sketching parabolas of the form y = ax2 + bx + c 350

9.6 Exponential functions and graphs 353

9.7 The hyperbola  359

9.8 The circle 362

9.9 Review 366

Answers 372

Topic 10 Deductive geometry 394

10.1 Overview  394

10.2 Angles, triangles and congruence 395

10.3 Similar triangles 405

10.4 Quadrilaterals 412

10.5 Polygons 422

10.6 Review 426

Answers 433

Project: Getting the budget in order 437

Topic 11 Probability 439

11.1 Overview 439

11.2 Review of probability 440

11.3 Tree diagrams 456

11.4 Independent and dependent events 462

11.5 Conditional probability 468

11.6 Subjective probability 472

11.7 Review 475

Answers 481

Topic 12 Univariate data 491

12.1 Overview 491

12.2 Measures of central tendency 492

12.3 Measures of spread 503

12.4 Box-and-whisker plots 508

12.5 The standard deviation 517

12.6 Comparing data sets 526

12.7 Review 532

Answers 539

Topic 13 Bivariate data 549

13.1 Overview 549

13.2 Bivariate data 550

13.3 Lines of best fit 557

13.4 Time series 569

13.5 Review 578

Answers 583

Topic 14 Statistics in the media 591

14.1 Overview 591

14.2 Populations and samples 592

14.3 Primary and secondary data 597

14.4 Evaluating inquiry methods and statistical reports 606

14.5 Statistical investigations 618

14.6 Review 624

Answers 633

Project: Climate change 639

Topic 15 Financial mathematics 640

15.1 Overview 640

15.2 Purchasing goods 641

15.3 Buying on terms 645

15.4 Successive discounts 650

15.5 Compound interest 654

15.6 Depreciation 660

15.7 Loan repayments 663

15.8 Review 666

Answers 670

Topic 16 Real numbers 675

16.1 Overview 675

16.2 Number classification review 676

16.3 Surds 681

16.4 Operations with surds 684

16.5 Fractional indices 695

16.6 Negative indices 699

16.7 Logarithms 702

16.8 Logarithm laws 706

16.9 Solving equations 711

16.10 Review 716

Answers 722

Topic 17 Polynomials 728

17.1 Overview 728

17.2 Polynomials 729

17.3 Adding, subtracting and multiplying polynomials 731

17.4 Long division of polynomials 733

17.5 Polynomial values 738

17.6 The remainder and factor theorems 741

17.7 Factorising polynomials 743

17.8 Solving polynomial equations 747

17.9 Review 750

Answers 754

Topic 18 Functions and relations 759

18.1 Overview 759

18.2 Functions and relations 760

18.3 Exponential functions 770

18.4 Cubic functions 779

18.5 Quartic functions 784

18.6 Transformations 787

18.7 Review 795

Answers 800

Topic 19 Circle geometry 807

19.1 Overview 807

19.2 Angles in a circle 808

19.3 Intersecting chords, secants and tangents 815

19.4 Cyclic quadrilaterals 823

19.5 Tangents, secants and chords 826

19.6 Review 832

Answers 838

Topic 20 Trigonometry II 842

20.1 Overview 842

20.2 The sine rule 843

20.3 The cosine rule 851

20.4 Area of triangles 855

20.5 The unit circle 861

20.6 Trigonometric functions 866

20.7 Solving trigonometric equations 871

20.8 Review 873

Answers 879

Topic 21 STEM extension: Programming

21.1 Overview 889

21.2 Programs 890

21.3 Data structures 899

21.4 Algorithms 912

21.5 Matrices 926

21.6 Graphics 932

21.7 Simulations 943

21.8 Review 958

Answers 966

Glossary 887

Index 900

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