11–12Mathematics Standard 11–12 Syllabus

Solve problems involving simple interest in a variety of contexts

Compare simple interest graphs for different interest rates and time periods, with and without using digital tools

Solve problems involving compound interest in a variety of contexts, including inflation and appreciation

Examine the effect of varying the interest rate, the term or the compounding period on the future value of an investment, with and without using digital tools

Compare the growth of simple interest and compound interest investments numerically and graphically, with and without using digital tools

Recognise that simple interest graphs are linear and compound interest graphs are exponential

Use a spreadsheet to numerically and graphically model investments using both simple and compound interest

Interpret and analyse tables and graphs about the value of share

Graph and interpret the value of a share over time, with and without using digital tools

Calculate the dividend paid and the dividend yield on shares (excluding franked dividends)

Solve problems involving calculation of brokerage costs and total costs of purchasing shares

Compare and contrast savings accounts, term deposits, shares and buying property as investment strategies

Compare straight-line depreciation and declining balance depreciation both numerically and graphically, with and without using digital tools

Use a spreadsheet to numerically and graphically model depreciation using the straight-line and declining balance methods

Compare and analyse the costs associated with buy now, pay later, short term and long term loans

Model a reducing balance loan as an application of compound interest with periodic repayments in tabular form for up to four time periods, with and without using digital tools

Use a spreadsheet to model and solve problems involving a reducing balance loan in a variety of contexts

Examine the effect of changing the repayment frequency, additional repayments or a lump-sum payment on the term and cost of a loan using a graph or by calculation

Solve problems involving reducing balance loans including calculating the total amount paid, monthly repayments, amount still owing and the time taken to repay the loan

Explain how credit cards are an example of a reducing balance loan

Compare credit card interest rates with interest rates for other loan types

Identify the various fees and charges associated with credit card usage, and understand the meaning of an interest-free period

Interpret a credit card statement, examining the implications of only making the minimum payment

Calculate the compound interest charged on a purchase, transaction or outstanding balance for a given number of days, with and without using digital tools

Compare credit options to best manage finances to meet short-term, medium-term and long-term goals, such as credit cards and personal loans