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Jacaranda Maths Quest 12 Mathematics Standard 2 for NSW 5e Print & eBookPLUS
This combined print and digital title has been rewritten to provide 100% coverage of the new Mathematics Standard Stage 6 Syllabus. Designed to help teachers unpack the Syllabus and help students at the point of learning, so every student can experience success in the classroom, at home and thus ultimately in the exam.
The new edition of Jacaranda Maths Quest 12 Mathematics Standard 2 for NSW includes these key updates:
An access code for the eBookPLUS comes free on the inside cover of your printed text, so you can make the most of both the print and digital formats.
Overview viii
About eBookPLUS and studyON ix
Acknowledgements x
1 Simultaneous linear equations 1
1.1 Overview 1
1.2 Review of linear equations 2
1.3 Graphing linear equations 7
1.4 Simultaneous linear equations 14
1.5 Review 22
Answers 27
2 Non-linear relationships 41
2.1 Overview 41
2.2 Exponential functions 42
2.3 Quadratic functions 52
2.4 Reciprocal functions 70
2.5 Review 83
Answers 90
3 Non-right-angled trigonometry 99
3.1 Overview 99
3.2 Review of trigonometric ratios 100
3.3 The sine rule 108
3.4 The cosine rule 112
3.5 Area of a triangle 118
3.6 Bearings and navigation 124
3.7 Angles of elevation and depression 131
3.8 Applications to practical problems 137
3.9 Radial surveys 141
3.10 Review 146
Answers 152
4 Rates and ratios 156
4.1 Overview 156
4.2 Working with rates 157
4.3 Household appliances 164
4.4 Working with ratios 168
4.5 Building plans and elevation views 173
4.6 Sections of land 181
4.7 Review 193
Answers 201
5 Investments 205
5.1 Overview 205
5.2 Applications of simple interest 206
5.3 Compound interest 211
5.4 Comparing investments and compounding problems 219
5.5 Shares 227
5.6 Review 234
Answers 241
6 Depreciation and loans 247
6.1 Overview 247
6.2 The declining-balance method of depreciation 248
6.3 Reducing balance loans 253
6.4 Credit cards 261
6.5 Review 275
Answers 283
7 Annuities 287
7.1 Overview 287
7.2 Introduction to annuities 288
7.3 Using recurrence relations to model annuities 293
7.4 Annuity calculations 302
7.5 Review 309
Answers 314
8 Bivariate data analysis 318
8.1 Overview 318
8.2 Scatterplots 319
8.3 Lines of best fit 328
8.4 The statistical investigation process 342
8.5 Review 352
Answers 362
9 The normal distribution 372
9.1 Overview 372
9.2 The bell curve 373
9.3 z-scores 380
9.4 Using normal distributions 386
9.5 Review 399
Answers 403
10 Networks and shortest paths 407
10.1 Overview 407
10.2 Solving problems with networks 408
10.3 Weighted networks and shortest paths 422
10.4 Minimum spanning trees 434
10.5 Review 447
Answers 456
11 Critical path analysis 466
11.1 Overview 466
11.2 Critical paths 467
11.3 Critical path analysis with backward scanning 478
11.4 Network flow 486
11.5 Review 499
Answers 507
Glossary 513
Index 521