Everything your students need to succeed!
The best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for, VCE students. Investigations are available for all Units to build student competance and confidence.
Learn online with Australia’s most powerful learning platform, learnON
Be confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple.
Combine units flexibly with the Jacaranda Supercourse
An Australian first, build the course you’ve always wanted with the Jacaranda Supercourse. You can combine all Units 1 to 4, so students can move backwards and forwards freely.
TABLE OF CONTENTS
About this resource vii
Acknowledgements xiv
1 Calculations 1
- 1.1 Overview 2
- 1.2 Number operations 3
- 1.3 Order of operations 6
- 1.4 Rounding 11
- 1.5 Estimation and approximation strategies 15
- 1.6 Decimals and fractions 18
- 1.7 Rational and irrational numbers 26
- 1.8 Review 37
- Answers 39
2 Ratios, proportion and variation 43
- 2.1 Overview 44
- 2.2 Direct variation (proportion) 45
- 2.3 Direct variation (proportion) and ratios 48
- 2.4 Partial variation (proportion) 52
- 2.5 Inverse variation (proportion) 55
- 2.6 Ratios 59
- 2.7 Ratio and proportion 65
- 2.8 Dividing in a given ratio 69
- 2.9 Review 73
- Answers 76
3 Percentages 81
- 3.1 Overview 82
- 3.2 Converting percentages 83
- 3.3 Percentage quantities and percentage error 87
- 3.4 Application of percentages 90
- 3.5 Profit and loss 95
- 3.6 Review 99
- Answers 101
4 Linear and simultaneous equations 103
- 4.1 Overview 104
- 4.2 Algebraic substitution and transposition 105
- 4.3 Linear equations 111
- 4.4 Linear modelling 116
- 4.5 Solving simultaneous equations graphically 121
- 4.6 Solving simultaneous equations by substitution 127
- 4.7 Solving simultaneous equations by elimination 130
- 4.8 Review 136
- Answers 139
5 Data collection and organisation 145
- 5.1 Overview 146
- 5.2 Types of data 147
- 5.3 Collecting, organising and displaying data 150
- 5.4 Histograms and frequency polygons 161
- 5.5 Contemporary representation of data 167
- 5.6 Stem-and-leaf plots 178
- 5.7 Five-number summary and boxplots 184
- 5.8 Graphical methods of misrepresenting data 188
- 5.9 Review 196
- Answers 201
6 Measures of central tendency and spread 211
- 6.1 Overview 212
- 6.2 Measures of central tendency 213
- 6.3 Measures of spread 224
- 6.4 Outliers 238
- 6.5 Applications of measures of central tendency 244
- 6.6 Review 249
- Answers 254
7 Comparing data sets and long-term prediction 257
- 7.1 Overview 258
- 7.2 Constructing boxplots 259
- 7.3 Comparing parallel boxplots 265
- 7.4 Comparing back-to-back stem plots 270
- 7.5 Comparing histograms 276
- 7.6 The line of best fit 284
- 7.7 Making predictions using a line of best fit 296
- 7.8 Review 306
- Answers 314
8 Simulations and simple probability 327
- 8.1 Overview 328
- 8.2 Theoretical probability and sample spaces 329
- 8.3 Multi-stage experiments 336
- 8.4 Relative frequency, simulations and long-term data 343
- 8.5 Review 355
- Answers 359
9 Interest and loans 365
- 9.1 Overview 366
- 9.2 Simple interest 367
- 9.3 Compound interest 375
- 9.4 Comparing simple and compound interest 382
- 9.5 Comparing interest, rental and loan costs 392
- 9.6 Review 399
- Answers 402
10 Financial and consumer mathematics 407
- 10.1 Overview 408
- 10.2 Taxation and superannuation 409
- 10.3 Business income and expenditure 418
- 10.4 Financial products 428
- 10.5 Financial and economic data 440
- 10.6 Review 447
- Answers 451
11 Scales, plans and models 455
- 11.1 Overview 456
- 11.2 Reading and interpreting scale drawings 457
- 11.3 Calculating measurements from scale drawings 462
- 11.4 Creating scale drawings 472
- 11.5 Review 482
- Answers 486
12 Right-angled triangles 489
- 12.1 Overview 490
- 12.2 Pythagoras’ theorem 491
- 12.3 Trigonometric ratios — sine, cosine and tangent 496
- 12.4 Calculating unknown side lengths of right-angled triangles 502
- 12.5 Calculating unknown angles in right-angled triangles 509
- 12.6 Angles of elevation and depression 514
- 12.7 Review 520
- Answers 524
13 Measurement 527
- 13.1 Overview 528
- 13.2 Units of measurement 529
- 13.3 Areas of composite figures 537
- 13.4 Surface areas of pyramids and irregular solids 545
- 13.5 Limits of accuracy 552
- 13.6 Scientific notation and significant figures 559
- 13.7 Review 566
- Answers 570
14 Volume 573
- 14.1 Overview 574
- 14.2 Review of volume of prisms, units of volume and capacity 575
- 14.3 Volume of cylinders and spheres 582
- 14.4 Volume of composite shapes 586
- 14.5 Review 591
- Answers 595
15 Shapes 597
- 15.1 Overview 598
- 15.2 Polygons 599
- 15.3 Transformations 602
- 15.4 Similarity 614
- 15.5 Symmetry 617
- 15.6 Review 624
- Answers 630
Glossary 639
Index 645
9781119876144