financialmathematics year11 standard

πŸ“– Prior Knowledge

ContentPrerequisite relationships
Represents Numbers B- Find 10%, 25% and 50% of a quantity β†’ Find a percentage of a quantity
Fractions Decimals Percentages- Convert between fractions, decimals and percentages β†’ Express one quantity as a fraction or percentage of another
- Express one quantity as a fraction or percentage of another (revisited content)
- Find a percentage of a quantity (revisited content)
- Calculate percentage increases and decreases β†’ Use multipliers for percentage change
- Calculate percentage increases and decreases β†’ Identify the percentage a value represents
- Calculate percentage increases and decreases β†’ Solve financial percentage problems
- Use multipliers for percentage change (revisited content)
- Solve percentage problems with the unitary method (revisited content)
- Calculate change as a percentage (revisited content)
- Apply repeated percentage changes (revisited content)
- Identify the percentage a value represents (revisited content)
- Solve reverse percentage problems (revisited content)
- Solve financial percentage problems (revisited content)
Financial Mathematics A- Calculate costs of spending options (revisited content)

Purchasing goods

  • Apply percentage increase and decrease to determine the cost of goods, and profit and loss
  • Calculate the goods and service tax (GST) or value-added tax (VAT) when purchasing goods and services in Australia and internationally
  • Solve problems involving GST or VAT
  • Examine payment options involvingΒ buy now, pay laterΒ and analyse the costs associated with these schemes for purchasing goods
  • Calculate the cost of buying on terms that involve paying an initial deposit and making regular repayments
  • Compare the total cost of using different methods of purchasing goods and justify which method of purchasing is best suited to a given context
  • Calculate the cost of purchasing a vehicle by considering the purchase price or loan repayments, registration, compulsory and non-compulsory third-party insurance, comprehensive insurance and stamp duty at current rates

Budgeting

  • Examine the ongoing costs of a vehicle
  • Use a spreadsheet to model the costs of purchasing, running and maintaining a vehicle
  • Calculate household costs including electricity, water and gas usage from household bills
  • Prepare a personal budget for a given income, considering fixed and discretionary spending
  • Use a spreadsheet to model personal and household budgets
  • Examine budgeting, saving, establishing an emergency fund with 3 to 6 months of living expenses, and monitoring spending as strategies designed to minimise financial problems