Jacaranda Maths Quest 10+10a Victorian Curriculum 1E (Revised) LearnON & Print
| Author(s): | Boucher |
| ISBN: | 9780730348566 |
| Pub date: | November 2017 |
| RRP: | $79.95 |
This combined print and digital title provides 100% coverage of the 2017 Victorian 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 the Jacaranda Maths Quest Victorian Curriculum series include these key features:
- Videos to address the 50 common maths misconceptions 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 enable progression and cater to learners of different levels
- Fully worked solutions demonstrating best practice and helping prevent misconceptions
- Investigations and rich tasks providing 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.
The revised print edition has been updated to ensure 1:1 correspondence learnON, for a seamless teaching and learning experience.
To complement the Maths Quest series, assessON Maths Quest is available for Years 7–10.
About this resource xi
CAS support in Maths Quest xiii
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 Programming
21.1 Overview 89
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
Appendix: CAS Calculator companion 887
Glossary 908
Index 921
