Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Investment and loans
Support Apply the declining balance method to calculate the depreciation of an asset using the formula S = V_0(1 - r)ⁿ where S = salvage value, V_0 = initial value of the asset, r = depreciation rate per time period and n = number of time periods
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Use the compound interest formula to establish the depreciation formula S = V_0(1 - r)ⁿ where S = salvage value, V_0 = initial value of the asset, r = depreciation rate per time period and n = number of periods
Stage 5 · Financial mathematics B Draft mapping
No checked resources on this prerequisite dot point yet.
Establish and use the formula FV = PV(1 + r)ⁿ to find compound interest where FV = future value of the investment, PV = present value of the investment, r = interest rate per time period and n = number of time periods
Stage 5 · Financial mathematics B Draft mapping
- Interactive toolStarterMathsisfun: Compound interestUse it for: Compound vs simple interest with tables and a calculator.
- Corbettmaths practice questions: Percentages: compound interestUse it for: Free printable graded practice questions (with answers) on percentages: compound interest for drill or a quick check.
- VideoStarterCorbettmaths video: Percentages: compound interestUse it for: Short worked-example video on percentages: compound interest to model the method before practice or for flipped revision.
- VideoStarterEddie Woo (WooTube): Basic Financial Mathematics playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on financial mathematics; play a clip to model a method or for revision.
Solve problems involving the depreciation of an asset
Stage 5 · Financial mathematics B Draft mapping
- WorksheetDrillKuta free worksheet: Exponential growth and decay word problemsUse it for: Printable skills-practice sheet with answer key on exponential growth and decay word problems; good for drill or homework.