1 Calculations

1.1 Overview

1.2 Number operations

1.3 Order of operations and reasonableness

1.4 Estimation

1.5 Decimal significance

1.6 Calculator skills

1.7 Approximation

1.8 Review

2 Ratios

2.1 Overview

2.2 Introduction to ratios

2.3 Ratios of two quantities

2.4 Divide into ratios [complex]

2.5 Scales, diagrams and maps [complex]

2.6 Review

3 Rates

3.1 Overview

3.2 Identifying rates

3.3 Conversion of rates

3.4 Calculation with rates involving direct proportion [complex]

3.5 Comparison of rates

3.6 Rates and costs

3.7 Review

4 Percentages

4.1 Overview

4.2 Calculating percentages

4.3 Express as a percentage

4.4 Percentage increase and decrease [complex]

4.5 Real-world application of percentages — Simple interest [complex]

4.6 Review

5 Units of energy

5.1 Overview

5.2 Units of energy

5.3 Energy in food

5.4 Energy in activities

5.5 Energy consumption

5.6 Review

6 Data classification, presentation and interpretation

6.1 Overview

6.2 Classifying data

6.3 Categorical data

6.4 Numerical data

6.5 Recognising and identifying outliers

6.6 Comparing different data [complex]

6.7 Review

7 Earning money

7.1 Overview

7.2 Salary, wages and overtime

7.3 Income payments — commission, piecework and royalties

7.4 Convert between different pay periods [complex]

7.5 Personal taxation, PAYG and employee superannuation

7.6 Determining PAYG tax using tax tables [complex]

7.7 Determining taxable income by applying tax deductions [complex]

7.8 Calculating simple tax returns [complex]

7.9 Review

8 Budgeting [complex]

8.1 Overview

8.2 Products and services

8.3 Rent and utility costs

8.4 Car expenses

8.5 Personal budget plan

8.6 Review

9 Census, surveys and simple survey procedures

9.1 Overview

9.2 Investigating a census

9.3 Sampling methods – advantages and disadvantages [complex]

9.4 Target population

9.5 Investigating questionnaire design principles [complex]

9.6 Review

10 Sources of bias

10.1 Overview

10.2 Faults in collecting data

10.3 Investigating possible misrepresentation of results [complex]

10.4 Investigating errors and misrepresentation in surveys [complex]

10.5 Review

11 Reading, interpreting and using graphs

11.1 Overview

11.2 Two-way tables

11.3 Line graphs, pie graphs and step graphs

11.4 Column graphs and picture graphs

11.5 Misleading graphs [complex]

11.6 Review

12 Drawing and using graphs

12.1 Overview

12.2 Drawing and using line graphs [complex]

12.3 Drawing and using column graphs and pie graphs

12.4 Graphing with technology [complex]

12.5 Review

13 Time

13.1 Overview

13.2 Representing and calculating time and time intervals

13.3 Interpreting timetables

13.4 Interpreting complex timetables and planning routes [complex]

13.5 Compare travel time

13.6 Review

14 Distance and speed

14.1 Overview

14.2 Distance, scales and maps

14.3 Investigate distances and directions [complex]

14.4 Calculating speed, distance and time, and their units

14.5 Distance-time graph and cost of the journey [complex]

14.6 Review