Jacaranda Maths Quest 8 Australian Curriculum 3E LearnON & Print
| Author/s |
Smith |
|---|---|
| ISBN13 | 9780730346746 |
| Pub date | November 2017 |
| Pages | 592 |
| RRP | $79.95 |
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 powerful digital learning platform making learning personalised and visible for both students and teachers.
The latest editions of Jacaranda Maths Quest Australian Curriculum series include these key features:
- Videos to address the 50 most commonly held misconceptions about maths are directly embedded at the point of learning
- Worked examples featuring the familiar THINK/WRITE columns provide exemplary solutions and explanations
- Carefully graded questions in each exercise enables progression and caters to learners of different levels
- Fully worked solutions demonstrate best practice and help prevent misconceptions
- Investigations and rich tasks that provide students with opportunities for open-ended problem solving
- Reading content with integrated media providing a dynamic and uninterrupted learning experience
For teachers, learnON includes additional teacher resources such as quarantined questions and answers, curriculum grids and work programs.
To complement the Maths Quest series, assessON Maths Quest is available for Years 7–10.
About this resource x
Acknowledgements xii
Topic 1 Numeracy 1 1
1.1 Overview 1
1.2 Set A 2
1.3 Set B 6
Answers 12
Topic 2 Integers 13
2.1 Overview 13
2.2 Adding and subtracting integers 14
2.3 Multiplying integers 19
2.4 Dividing integers 22
2.5 Combined operations on integers 25
2.6 Review 28
Answers 33
Topic 3 Index laws 37
3.1 Overview 37
3.2 Review of index form 38
3.3 First Index Law 41
3.4 Second Index Law 44
3.5 Third Index Law 48
3.6 Fourth Index Law 51
3.7 Review 54
Answers 60
Project: Attack of the killer balloons 65
Topic 4 Real numbers 67
4.1 Overview 67
4.2 Addition and subtraction of fractions 68
4.3 Multiplication and division of fractions 74
4.4 Terminating and recurring decimals 78
4.5 Addition and subtraction of decimals 83
4.6 Multiplication and division of decimals 86
4.7 Estimation 90
4.8 Review 96
Answers 102
Topic 5 Ratios and rates 108
5.1 Overview 108
5.2 Introduction to ratios 109
5.3 Simplifying ratios 113
5.4 Proportion 117
5.5 Comparing ratios 122
5.6 Dividing in a given ratio 125
5.7 Rates 128
5.8 Interpreting graphs 132
5.9 Review 137
Answers 142
Topic 6 Application of percentages 148
6.1 Overview 148
6.2 Percentages, fractions and decimals 149
6.3 Finding percentages of an amount 154
6.4 Discount 158
6.5 Profit and loss 163
6.6 Goods and Services Tax (GST) 168
6.7 Review 170
Answers 175
Topic 7 Congruence 180
7.1 Overview 180
7.2 Congruent figures 181
7.3 Triangle constructions 185
7.4 Congruent triangles 189
7.5 Quadrilaterals 195
7.6 Nets, polyhedra and Euler’s rule 199
7.7 Review 203
Answers 208
Topic 8 Algebra 214
8.1 Overview 214
8.2 Using variables 215
8.3 Substitution 219
8.4 Working with brackets 222
8.5 Substituting positive and negative numbers 224
8.6 Number laws and variables 227
8.7 Simplifying expressions 232
8.8 Multiplying and dividing expressions with variables 235
8.9 Expanding brackets 240
8.10 Factorising 244
8.11 Review 247
Answers 253
Topic 9 Numeracy 2 261
9.1 Overview 261
9.2 Set C 262
9.3 Set D 267
Answers 272
Topic 10 Measurement 273
10.1 Overview 273
10.2 Perimeter 274
10.3 Circumference 279
10.4 Area of rectangles, triangles, parallelograms, rhombuses and kites 285
10.5 Area of a circle 292
10.6 Area of trapeziums 296
10.7 Volume of prisms and other solids 299
10.8 Time 305
10.9 24-hour clock and time zones 311
10.10 Review 317
Answers 324
Topic 11 Linear equations 332
11.1 Overview 332
11.2 Identifying patterns 333
11.3 Backtracking and inverse operations 338
11.4 Keeping equations balanced 341
11.5 Using algebra to solve problems 345
11.6 Equations with the unknown on both sides 351
11.7 Review 358
Answers 363
Topic 12 Representing and interpreting data 369
12.1 Overview 369
12.2 Samples and populations 370
12.3 Primary and secondary data 377
12.4 Organising and displaying data 385
12.5 Measures of centre 394
12.6 Measures of spread 402
12.7 Analysing data 408
12.8 Review 414
Answers 420
Project: How to burglar-proof your bedroom 431
Topic 13 Probability 433
13.1 Overview 433
13.2 Probability scale 434
13.3 Experimental probability 438
13.4 Sample spaces and theoretical probability 445
13.5 Complementary events 453
13.6 Venn diagrams 456
13.7 Tree diagrams and two-way tables 463
13.8 Review 473
Answers 479
Topic 14 Coordinates and linear graphs 491
14.1 Overview 491
14.2 The Cartesian plane 492
14.3 Linear patterns 497
14.4 Plotting linear graphs 500
14.5 The y-intercept and gradient 506
14.6 Sketching linear graphs 514
14.7 Solving equations graphically 518
14.8 Review 523
Answers 530
Topic 15 Pythagoras’ theorem 546
15.1 Overview 546
15.2 Right-angled triangles 547
15.3 Finding the hypotenuse 549
15.4 Finding a shorter side 553
15.5 Working with different units 556
15.6 Composite shapes 560
15.7 Pythagorean triads 565
15.8 Pythagoras in 3-D 568
15.9 Review 571
Answers 576
Topic 16 Numeracy 3 579
16.1 Overview 579
16.2 Set E 580
16.3 Set F 583
Answers 588
Topic 17 Programming
17.1 Overview
17.2 Expressions
17.3 Decisions
17.4 Functions
17.5 Testing
17.6 Debugging
17.7 Review
Answers
Glossary 589
Index 593
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