Year 12 Mathematics Standard 2

Annuities

Future value and present value annuities, regular payment schedules, interest factor tables, retirement planning, and financial decision-making.

Active lessons

8

Status

Active

Lesson flow

Learn -> Guided Practice -> Independent Practice -> Mastery Quiz

How to use this unit

  • Start from lesson 1 and move through the pathway in order.
  • Use guided practice before attempting independent practice.
  • Mastery quizzes check whether the skill is ready for review or extension.

Unit pathway

Lesson pathway

8 of 8 active

Lesson 1

Annuities Revision

Consolidate Year 12 compound-interest foundations: apply A = P(1+r)ⁿ, work through recurrence relations for savings and loans, and read balance tables — preparation for future-value and present-value annuity lessons.

Lesson 2

Annuities and Regular Payments

Use recurrence and table methods for regular deposits, future value, annuities, and repayment schedules.

Lesson 3

Present Value of Annuities

Use the present value formula to find loan repayments from a lump-sum amount, calculate total interest paid, and compare loan options with different terms.

Lesson 4

Annuities Using Interest Factor Tables

Use tables of FV and PV interest factors to calculate future values, present values, and required regular contributions for savings and loan annuities.

Lesson 5

Retirement and Annuity Planning

Use future value and present value annuity reasoning to plan long-term savings goals, superannuation scenarios, and retirement income streams.

Lesson 6

Comparing Investments and the Effect of Inflation

Compare investment options by effective return, identify how inflation reduces purchasing power, and use future value formulas to evaluate lump-sum alternatives.

Lesson 7

Credit Cards and Consumer Decisions

Calculate monthly credit-card interest, find the total cost of a purchase paid over time, and compare buy-now-pay-later options with saving-first alternatives.

Lesson 8

Financial Decision Making Exam Practice

Practise mixed HSC-style finance questions involving investments, loans, annuities, fees, and comparisons.

Part of the Online Learning Package

Unit previews stay public, while individual lessons require active online learning access.