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Maths Quest 10+10a for the Australian Curriculum & EBookPLUS : Maths Quest for Aust Curriculum Series - Kylie Boucher

Maths Quest 10+10a for the Australian Curriculum & EBookPLUS

Maths Quest for Aust Curriculum Series

Paperback

Published: 20th December 2011
Ships: 5 to 9 business days
5 to 9 business days
$66.95

Maths Quest 10+10A Maths Quest 10+10A for the Australian Curriculum provides students with essential mathematical skills and knowledge through the content strands of Number and Algebra, Measurement and Geometry, and Statistics and Probability. The Curriculum focuses on students becoming proficient in mathematical understanding, fluency, reasoning and problem solving.

Introduction viii
About eBookPLUS x
Acknowledgements xi

CHAPTER 1 NUMBER AND ALGEBRA
PATTERNS AND ALGEBRA
Indices 1
Are you ready? 2
1A Review of index laws 3
Exercise 1A 5
1B Negative indices 7
Exercise 1B 10
1C Fractional indices 12
Exercise 1C 14
1D Combining index laws 17
Exercise 1D 20
Summary 23
Chapter review 24
eBookPLUS activities 26

CHAPTER 2 NUMBER AND ALGEBRA
PATTERNS AND ALGEBRA
Linear algebra 27
Are you ready? 28
2A Substitution 29
Exercise 2A 31
2B Adding and subtracting algebraic
fractions 33
Exercise 2B 36
2C Multiplying and dividing algebraic
fractions 37
Exercise 2C 39
2D Solving linear equations 40
Exercise 2D 43
2E Solving equations with algebraic fractions
and multiple brackets 45
Exercise 2E 48
Summary 50
Chapter review 52
eBookPLUS activities 54

CHAPTER 3 NUMBER AND ALGEBRA
LINEAR AND NON-LINEAR RELATIONSHIPS
Coordinate geometry 55
Are you ready? 56
3A Sketching linear graphs 57
Exercise 3A 62
3B Determining linear equations 64
Exercise 3B 67
3C The distance between two points on a
straight line 68
Exercise 3C 70
3D The midpoint of a line segment 71
Exercise 3D 73
3E Parallel and perpendicular lines 74
Exercise 3E 79
Summary 83
Chapter review 85
eBookPLUS activities 88

CHAPTER 4 NUMBER AND ALGEBRA
LINEAR AND NON-LINEAR RELATIONSHIPS
Simultaneous linear equations and
inequations 89
Are you ready? 90
4A Graphical solution of simultaneous linear
equations 91
Exercise 4A 94
4B Solving simultaneous linear equations using
substitution 96
Exercise 4B 98
4C Solving simultaneous linear equations using
elimination 99
Exercise 4C 101
4D Problem solving using simultaneous linear
equations 103
Exercise 4D 105
4E Solving linear inequations 106
Exercise 4E 108
4F Sketching linear inequations 110
Exercise 4F 113
4G Solving simultaneous linear
inequations 116
Exercise 4G 118
Summary 123
Chapter review 125
eBookPLUS activities 130

CHAPTER 5 MEASUREMENT AND GEOMETRY
PYTHAGORAS AND TRIGONOMETRY
Trigonometry I 131
Are you ready? 132
5A Pythagoras’ theorem 133
Exercise 5A 137
5_61_4178X_MQ10+10A_AC_prelims.indd 3 15/05/12 2:16 PM
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5B Pythagoras’ theorem in three
dimensions 140
Exercise 5B 143
5C Trigonometric ratios 145
Exercise 5C 149
5D Using trigonometry to calculate side
lengths 151
Exercise 5D 154
5E Using trigonometry to calculate angle
size 156
Exercise 5E 158
5F Angles of elevation and depression 161
Exercise 5F 163
5G Bearings and compass directions 165
Exercise 5G 169
5H Applications 172
Exercise 5H 173
Summary 177
Chapter review 179
eBookPLUS activities 182

CHAPTER 6 MEASUREMENT AND GEOMETRY
USING UNITS OF MEASUREMENT
Surface area and volume 183
Are you ready? 184
6A Area 185
Exercise 6A 189
6B Total surface area 193
Exercise 6B 199
6C Volume 203
Exercise 6C 208
Summary 213
Chapter review 214
eBookPLUS activities 218

CHAPTER 7 NUMBER AND ALGEBRA
PATTERNS AND ALGEBRA
Quadratic expressions 219
Are you ready? 220
7A Expanding algebraic expressions 221
Exercise 7A 225
7B Factorising expressions with three
terms 227
Exercise 7B 229
7C Factorising expressions with two or four
terms 231
Exercise 7C 234
7D Factorising by completing the
square 236
Exercise 7D 239
7E Mixed factorisation 240
Exercise 7E 240
Summary 242
Chapter review 244
eBookPLUS activities 246

CHAPTER 8 NUMBER AND ALGEBRA
LINEAR AND NON-LINEAR RELATIONSHIPS
Quadratic equations 247
Are you ready? 248
8A Solving quadratic equations 249
Exercise 8A 253
8B The quadratic formula 255
Exercise 8B 257
8C Solving quadratic equations by inspecting
graphs 258
Exercise 8C 261
8D Finding solutions to quadratic equations by
interpolation and using the discriminant 263
Exercise 8D 267
8E Solving a quadratic equation and a linear
equation simultaneously 269
Exercise 8E 272
Summary 274
Chapter review 276
eBookPLUS activities 278

CHAPTER 9 NUMBER AND ALGEBRA
LINEAR AND NON-LINEAR RELATIONSHIPS
Functions 279
Are you ready? 280
9A Plotting parabolas 281
Exercise 9A 284
9B Sketching parabolas using the basic graph of
y = x2 287
Exercise 9B 291
9C Sketching parabolas in turning point
form 292
Exercise 9C 296
9D Sketching parabolas of the form
y = ax2 + bx + c 298
Exercise 9D 302
9E Exponential functions and their graphs 306
Exercise 9E 309
9F The hyperbola 312
Exercise 9F 314
9G The circle 315
Exercise 9G 317
Summary 319
Chapter review 321
eBookPLUS activities 324

CHAPTER 10 MEASUREMENT AND GEOMETRY
GEOMETRIC REASONING
Deductive geometry 325
Are you ready? 326
10A Congruence review 327
Exercise 10A 329
10B Similarity review 332
Exercise 10B 335
10C Congruence and proof 336
Exercise 10C 338
10D Quadrilaterals: definitions and
properties 340
Exercise 10D 341
10E Quadrilaterals and proof 344
Exercise 10E 345
Summary 347
Chapter review 349
eBookPLUS activities 351
PROJECTSPLUS ICT ACTIVITY
pro-0099 Backyard flood 352

CHAPTER 11 PROBLEM SOLVING
Problem solving I 355

CHAPTER 12 STATISTICS AND PROBABILITY
CHANCE
Probability 379
Are you ready? 380
12A Review of probability 381
Exercise 12A 392
12B Complementary and mutually exclusive
events 396
Exercise 12B 400
12C Two-way tables and tree diagrams 403
Exercise 12C 410
12D Independent and dependent
events 413
Exercise 12D 415
12E Conditional probability 417
Exercise 12E 419
12F Subjective probability 420
Exercise 12F 421
Summary 423
Chapter review 425
eBookPLUS activities 428

CHAPTER 13 STATISTICS AND PROBABILITY
DATA REPRESENTATION AND INTERPRETATION
Univariate data 429
Are you ready? 430
13A Measures of central tendency 431
Exercise 13A 435
13B Measures of spread 439
Exercise 13B 442
13C Box-and-whisker plots 444
Exercise 13C 447
13D The standard deviation 449
Exercise 13D 451
13E Comparing data sets 454
Exercise 13E 455
13F Skewness 459
Exercise 13F 461
Summary 464
Chapter review 466
eBookPLUS activities 470

CHAPTER 14 STATISTICS AND PROBABILITY
DATA REPRESENTATION AND INTERPRETATION
Bivariate data 471
Are you ready? 472
14A Identifying related pairs of
variables 474
Exercise 14A 476
14B Graphing bivariate data 477
Exercise 14B 481
14C Scatterplots 483
Exercise 14C 488
Summary 491
Chapter review 492
eBookPLUS activities 496

CHAPTER 15 STATISTICS AND PROBABILITY
DATA REPRESENTATION AND INTERPRETATION
Statistics in the media 497
Are you ready? 498
15A Populations and samples 499
Exercise 15A 502
15B Primary and secondary
data 503
Exercise 15B 508
15C Evaluating inquiry methods and statistical
reports 511
Exercise 15C 518
15D Statistical investigations 521
Exercise 15D 525
Summary 527
Chapter review 529
eBookPLUS activities 533
PROJECTSPLUS ICT ACTIVITY
pro-0100 Climate change 534

CHAPTER 16 NUMBER AND ALGEBRA
MONEY AND FINANCIAL MATHEMATICS
Financial maths 537
Are you ready? 538
16A Purchasing goods 539
Exercise 16A 540
16B Buying on terms 542
Exercise 16B 543
16C Successive discounts 546
Exercise 16C 547
16D Compound interest 549
Exercise 16D 551
16E Depreciation 553
Exercise 16E 554
16F Loan repayments 556
Exercise 16F 558
Summary 560
Chapter review 562
eBookPLUS activities 564

CHAPTER 17 PROBLEM SOLVING
Problem solving II 565
10A

CHAPTER 18 NUMBER AND ALGEBRA
REAL NUMBERS
Real numbers 589
Are you ready? 590
18A Number classification review 591
Exercise 18A 594
18B Surds 595
Exercise 18B 597
18C Operations with surds 599
Exercise 18C 607
18D Fractional indices 609
Exercise 18D 612
18E Negative indices 614
Exercise 18E 616
18F Logarithms 617
Exercise 18F 618
18G Logarithm laws 619
Exercise 18G 622
18H Solving equations 624
Exercise 18H 628
Summary 630
Chapter review 632
eBookPLUS activities 634

CHAPTER 19 NUMBER AND ALGEBRA
PATTERNS AND ALGEBRA
Polynomials 635
Are you ready? 636
19A Polynomials 637
Exercise 19A 638
19B Adding, subtracting and multiplying
polynomials 639
Exercise 19B 640
19C Long division of polynomials 641
Exercise 19C 646
19D Polynomial values 647
Exercise 19D 648
19E The remainder and factor
theorems 649
Exercise 19E 650
19F Factorising polynomials 651
Exercise 19F 654
19G Solving polynomial equations 655
Exercise 19G 657
Summary 659
Chapter review 661
eBookPLUS activities 662

CHAPTER 20 NUMBER AND ALGEBRA
LINEAR AND NON-LINEAR RELATIONSHIPS
Functions and relations 663
Are you ready? 664
20A Functions and relations 665
Exercise 20A 669
20B Exponential functions 671
Exercise 20B 675
20C Cubic functions 679
Exercise 20C 682
20D Quartic functions 683
Exercise 20D 685
20E Transformations 686
Exercise 20E 692
Summary 694
Chapter review 696
eBookPLUS activities 698

CHAPTER 21 MEASUREMENT AND GEOMETRY
GEOMETRIC REASONING
Circle geometry 699
Are you ready? 700
21A Angles in a circle 701
Exercise 21A 706
21B Intersecting chords, secants and
tangents 708
Exercise 21B 713
21C Cyclic quadrilaterals 715
Exercise 21C 717
21D Tangents, secants and chords 718
Exercise 21D 720
Summary 724
Chapter review 726
eBookPLUS activities 730

CHAPTER 22 MEASUREMENT AND GEOMETRY
PYTHAGORAS & TRIGONOMETRY
Trigonometry II 731
Are you ready? 732
22A The sine rule 733
Exercise 22A 739
22B The cosine rule 741
Exercise 22B 744
22C Area of triangles 745
Exercise 22C 747
22D The unit circle 749
Exercise 22D 752
22E Trigonometric functions 755
Exercise 22E 757
22F Solving trigonometric equations 759
Exercise 22F 761
Summary 762
Chapter review 764
eBookPLUS activities 766

CHAPTER 23 STATISTICS AND PROBABILITY
DATA REPRESENTATION AND INTERPRETATION
Interpreting data 767
Are you ready? 768
23A Bivariate data 769
Exercise 23A 773
23B Lines of best fit 776
Exercise 23B 784
23C Time series 786
Exercise 23C 790
Summary 794
Chapter review 795
eBookPLUS activities 798
Answers 799
Glossary 889
Index 901

ISBN: 9780730341789
ISBN-10: 073034178X
Series: Maths Quest for Aust Curriculum Series
Audience: Primary / High School
Format: Paperback
Language: English
Number Of Pages: 920
Published: 20th December 2011
Weight (kg): 1.45