# Maths Quest 10 For Nsw 5.1/5.2/5.3 Pathway Australian Curriculum Edition eBookPLUS (Online Purchase)

ISBN: 978-1-118-67310-2

Oct 2014, Jacaranda

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## Description

A pronounced improvement on the already highly regarded Maths Quest Australian Curriculum series, our latest resources for NSW Australian Curriculum Mathematics have been updated based on in-depth research and feedback from teachers practising in NSW.

KEY FEATURES

Activities such as Code puzzles, online Word Searches, Crosswords and Sudoku puzzles.
• Includes a series of videos entitled the Story of Mathematics that help students to place the development of mathematical ideas in context.
• Students are provided with Investigations in every chapter and online projects provided in the ProjectsPLUS platform allowing for collaboration and trackable, connected, group work.

Maths Quest 10 for NSW 5.1/5.2/5.3 Pathway Australian Curriculum Edition 2E eBookPLUS is a digital-only version of the textbook that provides access to all course content. It also includes a wealth of multimedia resources accessed through our JacarandaPLUS website (http://www.jacplus.com.au/).

> eBookPLUS resources include:

• Access from any digital device PC/MAC/iPad/Android Tablet.
Worksheets - Word documents designed for easy customisation and editing.
Interactivities and games to reinforce and enhance student learning.
eLessons - engaging video clips and supporting material.
Weblinks to relevant support material on the internet.
ProjectsPLUS - unique ICT-based projects that provide opportunities for students to demonstrate creativity, thinking skills and teamwork.
eBookPLUS resources are cost effective, ranging in price from \$25.95 - \$53.95 depending on your subject area.

Introduction x

Acknowledgements xiv

Chapter 1 Indices 2

1A Review of index laws 4
1B Negative indices 9
1C Fractional indices 13
1D Combining index laws 17

Chapter 2 Algebra and equations 36

2A Substitution 38
2B Adding and subtracting algebraic fractions 43
2C Multiplying and dividing algebraic fractions 47
2D Solving simple equations 51
2E Solving multi-step equations 57
2F Literal equations 61

Chapter 3 Coordinate geometry 76

3A Sketching linear graphs 78
3B Determining linear equations 84
3C The distance between two points 90
3D The midpoint of a line segment 93
3E Parallel and perpendicular lines 97

Chapter 4 Simultaneous linear equations and inequalities 122

4A Graphical solution of simultaneous linear equations 124
4B Solving simultaneous linear equations using substitution 130
4C Solving simultaneous linear equations using elimination 133
4D Applications of simultaneous linear equations 139
4E Solving simultaneous linear and non ]linear equations 143
4F Solving linear inequalities 150
4G Inequalities on the Cartesian plane 156
4H Solving simultaneous linear inequalities 161

Chapter 5 Trigonometry I 180

5A Pythagoras’ theorem 182
5B Pythagoras’ theorem in three dimensions 189
5C Trigonometric ratios 194
5D Using trigonometry to calculate side lengths 199
5E Using trigonometry to calculate angle size 203
5F Angles of elevation and depression 208
5G Bearings 212
5H Applications 218

Chapter 6 Surface area and volume 236

6A Area 238
6B Total surface area 247
6C Volume 256

7A Expanding algebraic expressions 280
7B Factorising expressions with three terms 286
7C Factorising expressions with two or four terms 291
7D Factorising by completing the square 297
7E Mixed factorisation 301

8A Solving quadratic equations algebraically 318
8C Solving quadratic equations graphically 330
8D The discriminant 334

Chapter 9 Non ]linear relationships 352

9A Plotting parabolas 354
9B Sketching parabolas 361
9C Sketching parabolas in turning point form 367
9D Sketching parabolas of the form y = ax2 + bx + c 375
9E Exponential functions and graphs 378
9F The hyperbola 384
9G The circle 387

Chapter 10 Deductive geometry 412

10A Angles, triangles and congruence 414
10B Similar triangles 423
10D Polygons 439

Chapter 11 Problem solving I 456

Chapter 12 Probability 488

12A Review of probability 490
12B Tree diagrams 506
12C Independent and dependent events 513
12D Conditional probability 519
12E Subjective probability 523

Chapter 13 Univariate data 540

13A Measures of central tendency 542
13c Box ]and ]whisker plots 558
13d The standard deviation 568
13E Comparing data sets 577

Chapter 14 Bivariate data 602

14A Bivariate data 604
14b Lines of best fit 611
14c Time series 623

Chapter 15 Statistics in the media 646

15A Populations and samples 648
15B Primary and secondary data 653
15C Evaluating inquiry methods and statistical reports 662
15D Statistical investigations 674

Chapter 16 Financial mathematics 696

16C Successive discounts 706
16D Compound interest 710
16E Depreciation 717
16F Loan repayments 720

Chapter 17 Problem solving II 734

Chapter 18 Real numbers 772

18A Number classification review 774
18B Surds 779
18C Operations with surds 782
18D Fractional indices 793
18E Negative indices 798
18F Logarithms 800
18G Logarithm laws 803

Chapter 19 Polynomials 826

19A Polynomials 828
19B Adding, subtracting and multiplying polynomials 830
19C Long division of polynomials 833
19D Polynomial values 838
19E The remainder and factor theorems 840
19F Factorising polynomials 843
19G Solving polynomial equations 848

Chapter 20 Functions and relations 862

20A Functions and relations 864
20B Exponential functions 874
20C Cubic functions 884
20D Quartic functions 888
20E Transformations 892

Chapter 21 Circle geometry 912

21A Angles in a circle 914
21B Intersecting chords, secants and tangents 921
21D Tangents, secants and chords 931

Chapter 22 Trigonometry II 946

22A The sine rule 948
22B The cosine rule 957
22C Area of triangles 962
22D The unit circle 967
22E Trigonometric functions 973
22F Solving trigonometric equations 978

Chapter review 982