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Maths Quest 11 General Mathematics VCE Units 1 and 2 & eBookPLUS + StudyOn VCE General Mathematics Units 1 and 2

Maths Quest 11 General Mathematics VCE Units 1 and 2 & eBookPLUS + StudyOn VCE General Mathematics Units 1 and 2
Title information
Author/s
Morris
ISBN13 9780730323181
Pub date November 2015
Pages 624
RRP $89.95
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Maths Quest 11 General Mathematics VCE Units 1 and 2 with eBookPLUS and studyON VCE provides comprehensive coverage of the new VCE Study Design for 2016-2019. It includes Jacaranda’s unique exam preparation tool, studyON, which has been fully integrated with the text to maximise every student’s opportunity for exam success.

Features and benefits

• Many HTML5 interactivities are available. These are designed to engage, excite and enhance understanding by bringing difficult concepts to life.
• The theory is written by highly experienced and successful teachers with a proven and fundamental understanding of how students learn mathematics and succeed in exams.
• Every exercise contains three levels of carefully graded questions which allow students to practise, consolidate and master their knowledge independently.
• Thousands of new questions have been written exclusively for this series, including many higher level questions that stretch students’ understanding of mathematics for improved learning outcomes.
• CAS support is provided within the student text through activities and questions. Additionally, students can obtain detailed step-by-step instructions by accessing the TI-Nspire CAS or the Casio ClassPad II Calculator Manuals in the Prelim section of their eBookPLUS.
studyON VCE General Mathematics Units 1 and 2 is fully integrated with the student text. studyON is Jacaranda’s unique study, revision and exam preparation tool.

Students can rely on Jacaranda’s dedicated customer service and support.

This resource is a hard-copy student text that includes the eBookPLUS and studyON VCE General Mathematics Units 1 and 2.



studyON for Units 1 and 2 is a comprehensive study, revision and exam preparation tool that delivers proven learning outcomes.

Features and benefits

Sit exams: VCAA exam-style questions along with marking guides. Students receive instant feedback and can track their results at a concept, topic or whole-course level.
Concepts: Concept summary screens provide concise, in-depth explanations supported by relevant examples.
Read more: Hyperlinks direct students to more information in the Jacaranda eBookPLUS.

Introduction vii

About eBookPLUS and studyON x

Acknowledgements xi

Topic 1 Linear relations and equations 2

1.1 Kick off with CAS 3

1.2 Linear relations 4

1.3 Solving linear equations 9

1.4 Developing linear equations 14

1.5 Simultaneous linear equations 21

1.6 Problem solving with simultaneous equations 29

1.7 Review 37

Answers 38

Topic 2 Computation and practical arithmetic 42

2.1 Kick off with CAS 43

2.2 Computation methods 44

2.3 Orders of magnitude 55

2.4 Ratio, rates and percentages 62

2.5 Review 71

Answers 72

Topic 3 Financial arithmetic 74

3.1 Kick off with CAS 75

3.2 Percentage change 76

3.3 Financial applications of ratios and percentages 81

3.4 Simple interest applications 88

3.5 Compound interest applications 96

3.6 Purchasing options 103

3.7 Review 111

Answers 112

Topic 4 Matrices 116

4.1 Kick off with CAS 117

4.2 Types of matrices 118

4.3 Operations with matrices 128

4.4 Matrix multiplication 132

4.5 Inverse matrices and problem solving with matrices 141

4.6 Review 154

Answers 155

Topic 5 Graphs and networks 160

5.1 Kick off with CAS 161

5.2 Definitions and terms 162

5.3 Planar graphs 176

5.4 Connected graphs 184

5.5 Weighted graphs and trees 192

5.6 Review 201

Answers 202

Topic 6 Sequences 210

6.1 Kick off with CAS 211

6.2 Arithmetic sequences 212

6.3 Geometric sequences 225

6.4 Recurrence relations 236

6.5 Review 245

Answers 246

Topic 7 Shape and measurement 250

7.1 Kick off with CAS 251

7.2 Pythagoras’ theorem 252

7.3 Perimeter and area I 261

7.4 Perimeter and area II 267

7.5 Volume 274

7.6 Surface area 284

7.7 Review 293

Answers 294

Topic 8 Similarity 298

8.1 Kick off with CAS 299

8.2 Similar objects 300

8.3 Linear scale factors 307

8.4 Area and volume scale factors 312

8.5 Review 317

Answers 318

Topic 9 Applications of trigonometry 320

9.1 Kick off with CAS321

9.2 Trigonometric ratios 322

9.3 Applications of trigonometric ratios 335

9.4 The sine rule 343

9.5 The cosine rule 349

9.6 Area of triangles 354

9.7 Review 360

Answers 361

Topic 10 Linear graphs and models 362

10.1 Kick off with CAS 363

10.2 Linear functions and graphs 364

10.3 Linear modelling 380

10.4 Linear equations and predictions 388

10.5 Further linear applications 401

10.6 Review 414

Answers 415

Topic 11 Inequalities and linear programming 424

11.1 Kick off with CAS 425

11.2 Graphs of linear inequalities 426

11.3 Linear programming 435

11.4 Applications of linear programming 449

11.5 Review 468

Answers 469

Topic 12 Variation 476

12.1 Kick off with CAS477

12.2 Direct, inverse and joint variation 478

12.3 Data transformations 484

12.4 Data modelling 491

12.5 Review 501

Answers 502

Topic 13 Investigating and comparing data distributions 512

13.1 Kick off with CAS 513

13.2 Data types and displays 514

13.3 Numerical data distributions 525

13.4 Measures of centre 536

13.5 Measures of spread 545

13.6 Comparing numerical distributions 553

13.7 Review 565

Answers 566

Topic 14 Relationships between two numerical variables 580

14.1 Kick off with CAS 581

14.2 Scatterplots and basic correlation 582

14.3 Further correlation coefficients 589

14.4 Making predictions 594

14.5 Review 601

Answers 602

Index 607

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