numberandalgebra core

📖 Prior Knowledge

ContentPrerequisite relationships
Fractions Decimals Percentages- Find a percentage of a quantity → Calculate earnings from work
- Find a percentage of a quantity → Calculate income tax from a tax table
- Find a percentage of a quantity → Calculate simple interest
- Find a percentage of a quantity → Calculate costs of spending options
Ratios and Rates- Solve problems involving rates → Calculate earnings from work
Algebraic Techniques- Substitute values into algebraic expressions → Calculate simple interest
Equations- Solve equations from formulas → Calculate simple interest

Solve problems involving earning money.pdf

  • Solve problems involving wages given an hourly rate of pay including penalty rates for overtime, weekends and public holidays
  • Calculate earnings from non-wage sources exploring commission, piece work and royalties
  • Calculate weekly, fortnightly, monthly and yearly earnings assuming 1 year = 52 weeks
  • Calculate leave loading by finding a percentage of eligible normal pay
  • Investigate sources of published tables or online calculators and use these to calculate the weekly, fortnightly or monthly tax to be deducted from a worker’s pay under the Australian Pay-As-You-Go (PAYG) taxation system
  • Determine annual taxable income by exploring allowable deductions and current tax rates
  • Calculate net earnings after deductions and taxation

Solve problems involving simple interest.pdf

  • Establish and use the formula  to find simple interest where  = simple interest,  = principal,  = interest rate per time period and = number of time periods
  • Apply the simple interest formula to solve problems related to investing money at simple interest rates, both algebraically and graphically

Solve problems involving spending money.pdf

  • Calculate the cost of buying items on terms, by paying an initial deposit and making regular repayments
  • Examine payment options involving buy nowpay later and investigate the costs associated with these schemes for purchasing goods
  • Examine the principles behind short-term loans involving small dollar amounts and compare borrowing costs associated with using these products