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TABLE OF CONTENTS
About this resource vii
Acknowledgements xiv
1 Integers 1
- 1.1 Overview 2
- 1.2 Adding and subtracting integers 3
- 1.3 Multiplying integers 8
- 1.4 Dividing integers 11
- 1.5 Combining operations on integers 14
- 1.6 Review 19
- Answers 22
2 Fractions 25
- 2.1 Overview 26
- 2.2 Introducing fractions 27
- 2.3 Simplifying fractions 36
- 2.4 Mixed numbers and improper fractions 40
- 2.5 Adding and subtracting fractions 46
- 2.6 Multiplying fractions 51
- 2.7 Dividing fractions 58
- 2.8 Working with mixed numbers 62
- 2.9 Review 68
- Answers 71
3 Decimals 77
- 3.1 Overview 78
- 3.2 Place value and comparing decimals 79
- 3.3 Converting decimals to fractions and fractions to decimals 85
- 3.4 Rounding and repeating decimals 90
- 3.5 Adding and subtracting decimals 96
- 3.6 Multiplying decimals (including powers of 10) 101
- 3.7 Dividing decimals (including powers of 10) 106
- 3.8 Review 113
- Answers 115
4 Powers and roots 119
- 4.1 Overview 120
- 4.2 Index (power) notation 121
- 4.3 Squares and square roots 126
- 4.4 Using powers and roots to solve practical problems 130
- 4.5 Review 139
- Answers 141
5 Estimation and approximation 143
- 5.1 Overview 144
- 5.2 Rounding and estimation 145
- 5.3 Reasonableness and calculator skills 148
- 5.4 Order of magnitude 154
- 5.5 Approximation 161
- 5.6 Review 168
- Answers 172
6 Ratios and proportions 175
- 6.1 Overview 176
- 6.2 Introduction to ratios 177
- 6.3 Ratios of two quantities 184
- 6.4 Divide into ratios 194
- 6.5 Scales, diagrams and maps 203
- 6.6 Proportion 210
- 6.7 Review 216
- Answers 220
7 Rates 223
- 7.1 Overview 224
- 7.2 Identifying rates 225
- 7.3 Conversion of rates 230
- 7.4 Comparison of rates 234
- 7.5 Rates and costs 237
- 7.6 Review 248
- Answers 251
8 Percentages 255
- 8.1 Overview 256
- 8.2 Calculating percentages 257
- 8.3 Express as a percentage 264
- 8.4 Percentage decrease and increase 269
- 8.5 Simple interest 275
- 8.6 Review 281
- Answers 284
9 Equations 287
- 9.1 Overview 288
- 9.2 Number patterns and pronumerals 289
- 9.3 Building expressions 296
- 9.4 Backtracking to solve equations 300
- 9.5 Balancing equations 304
- 9.6 Solving equations 309
- 9.7 Rearranging formulas 313
- 9.8 Applications of equations and formulas 317
- 9.9 Review 321
- Answers 324
10 Collecting and classifying data 329
- 10.1 Overview 330
- 10.2 Collecting data 331
- 10.3 Simple survey procedures 340
- 10.4 Classifying data 349
- 10.5 Categorical data 353
- 10.6 Numerical data 371
- 10.7 Comparing and interpreting data 385
- 10.8 Review 392
- Answers 398
11 Financial systems and income payments 409
- 11.1 Overview 410
- 11.2 Purchasing methods 411
- 11.3 Financial systems — permanent employment 419
- 11.4 Financial systems — taxation and deductions 424
- 11.5 Income payments — commission, piecework and royalties 432
- 11.6 Income payments and calculations 437
- 11.7 Review 445
- Answers 449
12 Length and area 453
- 12.1 Overview 454
- 12.2 SI units, length and estimation 455
- 12.3 Perimeters of familiar and composite shapes 462
- 12.4 Units of area and estimation 471
- 12.5 Areas of regular shapes 478
- 12.6 Surface areas of familiar prisms 486
- 12.7 Review 492
- Answers 496
13 Volume, capacity and mass 499
- 13.1 Overview 500
- 13.2 Volume of prisms and capacity 501
- 13.3 Volume of spheres and composite shapes 509
- 13.4 Mass 513
- 13.5 Review 518
- Answers 521
14 Presenting and interpreting data 523
- 14.1 Overview 524
- 14.2 Measures of central tendency and the outlier effect 525
- 14.3 Measures of spread 535
- 14.4 Describing graphical distributions 547
- 14.5 Characteristics of data sets 558
- 14.6 Drawing and using column and pie graphs 579
- 14.7 Misleading graphs 588
- 14.8 Graphing and technology 596
- 14.9 Review 606
- Answers 615
15 Managing finances 627
- 15.1 Overview 628
- 15.2 Products and services 629
- 15.3 Rent and utilities costs 634
- 15.4 Credit cards 645
- 15.5 Personal income–related expenses 656
- 15.6 Car expenses 662
- 15.7 Managing money 670
- 15.8 Financial and economic data trends 677
- 15.9 Review 685
- Answers 690
16 Space, time and measurement 695
- 16.1 Overview 696
- 16.2 Conventions and geometric shapes 697
- 16.3 Angles and polygons 706
- 16.4 Angles, parallel lines and transversals 711
- 16.5 Constructing triangles 717
- 16.6 Using scales 720
- 16.7 Time and temperature 725
- 16.8 Map distances 735
- 16.9 Directions 739
- 16.10 Speed 745
- 16.11 Travel times 750
- 16.12 Review 761
- Answers 765
Glossary 771
Index 777
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