Learning with learnON vii
Teaching with Learnon xiii
Acknowledgements xiv
Unit 1 Number, Data and Money 1
Topic Fundamental Topic
1 Calculations 3
1.1 Overview 4
1.2 Number operations 5
1.3 Order of operations and reasonableness 15
1.4 Estimation 21
1.5 Decimal significance 26
1.6 Calculator skills 32
1.7 Approximation 36
1.8 Review 43
Answers 47
Topic 1 Number
2 Ratios 51
2.1 Overview 52
2.2 Introduction to ratios 53
2.3 Ratios of two quantities 61
2.4 Divide into ratios [complex] 71
2.5 Scales, diagrams and maps [complex] 80
2.6 Review 87
Answers 91
3 Rates 93
3.1 Overview 94
3.2 Identifying rates 95
3.3 Conversion of rates 100
3.4 Calculation with rates involving direct proportion [complex] 105
3.5 Comparison of rates 110
3.6 Rates and costs 114
3.7 Review 125
Answers 128
4 Percentages 131
4.1 Overview 132
4.2 Calculating percentages 133
4.3 Express as a percentage 141
4.4 Percentage increase and decrease [complex] 146
4.5 Real-world application of percentages â" Simple interest [complex] 154
4.6 Review 159
Answers 162
5 Units of energy 165
5.1 Overview 166
5.2 Units of energy 167
5.3 Energy in food 173
5.4 Energy in activities 182
5.5 Energy consumption 189
5.6 Review 194
Answers 198
Topic 2 Representing Data
6 Data classification, presentation and interpretation 201
6.1 Overview 202
6.2 Classifying data 203
6.3 Categorical data 207
6.4 Numerical data 223
6.5 Recognising and identifying outliers 237
6.6 Comparing different data [complex] 240
6.7 Review 247
Answers 253
Practice Assessment 1
Problem-solving and modelling task guide
Topic 3 Managing Money
7 Earning money 261
7.1 Overview 262
7.2 Salary, wages and overtime 263
7.3 Income payments â" commission, piecework and royalties 271
7.4 Convert between different pay periods [complex] 276
7.5 Personal taxation, PAYG and employee superannuation 280
7.6 Determining PAYG tax using tax tables [complex] 288
7.7 Determining taxable income by applying tax deductions [complex] 294
7.8 Calculating simple tax returns [complex] 297
7.9 Review 307
Answers 311
8 Budgeting [complex] 315
8.1 Overview 316
8.2 Products and services 317
8.3 Rent and utility costs 325
8.4 Car expenses 336
8.5 Personal budget plan 343
8.6 Review 351
Answers 355
Practice Assessment 2
Unit 1 Examination
11.5 Misleading graphs [complex] 445
11.6 Review 455
Answers 462
12 Drawing and using graphs 465
12.1 Overview 466
12.2 Drawing and using line graphs [complex] 467
12.3 Drawing and using column graphs and pie graphs 477
12.4 Graphing with technology [complex] 488
12.5 Review 499
Answers 504
Topic 3 Time and Motion
Unit 2 Data and Travel 359
Topic 1 Data Collection
9 Census, surveys and simple survey procedures 361
9.1 Overview 362
9.2 Investigating a census 363
9.3 Sampling methods â" advantages and disadvantages [complex] 367
9.4 Target population 375
9.5 Investigating questionnaire design principles [complex] 377
9.6 Review 385
Answers 388
10 Sources of bias 391
10.1 Overview 392
10.2 Faults in collecting data 393
10.3 Investigating possible misrepresentation of results [complex] 397
10.4 Investigating errors and misrepresentation in surveys [complex] 401
10.5 Review 408
Answers 412
13 Time 511
13.1 Overview 512
13.2 Representing and calculating time and time intervals 513
13.3 Interpreting timetables 521
13.4 Interpreting complex timetables and planning routes [complex] 529
13.5 Compare travel time 536
13.6 Review 548
Answers 557
14 Distance and speed 561
14.1 Overview 562
14.2 Distance, scales and maps 563
14.3 Investigate distances and directions [complex] 569
14.4 Calculating speed, distance and time, and their units 578
14.5 Distance-time graph and cost of the journey [complex] 585
14.6 Review 598
Answers 602
Topic 2 Graphs
11 Reading, interpreting and using graphs 415
11.1 Overview 416
11.2 Two-way tables 417
11.3 Line graphs, pie graphs and step graphs 422
11.4 Column graphs and picture graphs 436
Practice Assessment 3
Problem-solving and modelling task
Practice Assessment 4
Unit 2 Examination
Glossary 605
