Preliminary Mathematics

Financial Mathematics
1. Earning & investing money
  1. calculate monthly, fortnightly, weekly, daily and hourly pay rates from a given salary
  2. compare different ways of earning
  3. calculate net pay following deductions from gross pay
  4. prepare a budget for a given income, taking into account fixed and discretionary spending.
  5. determine deductions from income, eg tax instalments, superannuation contributions, health-fund instalments, union fees and HECS repayments
2. Taxation
  1. calculate the amount of allowable deductions from gross income
  2. calculate taxable income
  3. calculate the goods and services tax (GST) payable on a range of goods and services
  4. calculate the amount of Pay As You Go (PAYG) tax payable or refund owing, using current tax scale
3. MGP-1, MGP-2, MGP6, MGP-9
Algebra
1. Algebraic manipulation
  1. add, subtract, multiply and divide algebraic terms
  2. simplify algebraic expressions involving multiplication and division,
  3. substitute given values for the other pronumerals in a mathematical formula from a vocational or other context to find the value of the subject of the formula
2. Interpreting linear relationships
3. MGP-1, MGP-3
Measurement
1. Applications of perimeter, area and volume
  1. calculate the perimeter of simple figures, including right-angled triangles, circles, semicircles and quadrants
  2. estimate areas and volumes
  3. identify and use the correct formula to solve practical area problems
  4. calculate the perimeter and area of irregularly shaped blocks of land using a field diagram
2. Units of measurement and applications
  1. calculate rates, including pay rates, rates of flow, and rates of speed
  2. convert between units for rates, eg km/h to m/s, mL/min to L/h
  3. convert between common units for area
3. MGP-4, MGP-5
Data & Statistics
1. Displaying and interpreting single data sets
  1. create statistical displays using a spreadsheet or other appropriate software
  2. construct a dot plot from a small data set and interpret the dot plot
  3. link type of data with an appropriate display, eg continuous quantitative data with a histogram, or categorical data with a divided bar graph or sector graph (pie chart)
  4. interpret the various displays of single data sets
2. Statistics and society, data collection and sampling
  1. determine whether data for the whole population is available (eg the results of a round of a sporting competition), or if sampling is necessary
  2. identify the target population to be investigated
  3. investigate the process of statistical inquiry, and describe the following steps: posing questions, collecting data, organising data, summarising and displaying data, analysing data and drawing conclusions, and writing a report
3. MGP-2, MGP-5, MGP7, MGP-9

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Preliminary Mathematics

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