Course: Year 12 Mathematics Advanced

Financial Mathematics

A staged pathway through growth factors, compound interest, depreciation, financial recurrences, sequences, series, annuities, loans, and decision-making in money contexts.

Active lessons

10

Planned lessons

10

Lesson sequence

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

How to use this unit

  • Start with growth and decay factors before recurrence work.
  • Use the guided practice to catch percentage and rounding errors.
  • Build sequence and series skills before moving to annuities or loans.
  • In worded questions, check what each time period represents.

What this unit covers

Growth factors
Compound interest
Depreciation
Percentage rates as decimals
Recurrence relations
Savings and loan balances
Arithmetic sequences
Geometric sequences
Arithmetic series
Geometric series
Future value of annuities
Present value and loan repayments
Comparing financial options
Mixed exam practice

Unit pathway

Lesson pathway

10 of 10 active

1

Lesson 1

Growth Factors, Compound Interest, and Depreciation

Use growth and decay factors to model compound interest and depreciation over repeated time periods.

Active
2

Lesson 2

Recurrence Relations in Financial Contexts

Model savings, loans, deposits, repayments, and depreciation using recurrence relations.

Active
3

Lesson 3

Arithmetic Sequences

Use common differences and nth-term rules to model repeated linear changes.

Active
4

Lesson 4

Geometric Sequences

Use common ratios and nth-term rules to model repeated percentage growth or decay.

Active
5

Lesson 5

Arithmetic Series

Find totals from arithmetic patterns using arithmetic series formulas.

Active
6

Lesson 6

Geometric Series

Find totals from geometric patterns and connect geometric series to annuities.

Active
7

Lesson 7

Future Value of Annuities

Calculate the future value of regular deposits with compound interest.

Active
8

Lesson 8

Present Value and Loan Repayments

Use financial models to analyse loan balances, repayments, and present value.

Active
9

Lesson 9

Comparing Financial Options

Compare savings, investment, and loan options using financial mathematics.

Active
10

Part of the Online Learning Package

This unit is part of the Nova Maths online learning package. The lesson pathway is available for preview, and full access requires an active online learning subscription.

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