Modelling Financial Situations
Arithmetic and geometric sequences and series, limiting sums, compound interest, depreciation, recurrence relations, annuities, loans, and financial decision-making.
Active lessons
11
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
Unit pathway
Lesson pathway
11 of 11 active
Lesson 1
Arithmetic and Geometric Sequences Review
Review nth-term notation for arithmetic and geometric sequences, with emphasis on HSC-style interpretation and financial growth factors.
Lesson 2
Arithmetic and Geometric Series
Use arithmetic and geometric series formulas, including sigma notation, to evaluate finite sums in abstract and contextual settings.
Lesson 3
Limiting Sums and Infinite Series
Analyse infinite geometric series, decide whether a limiting sum exists, and interpret repeated proportional change.
Lesson 4
Sequences and Series in Financial Mathematics
Connect compound interest, depreciation and annuity models to geometric sequences and finite geometric series.
Lesson 5
Sequences, Series and Financial Mathematics Exam Practice
Practise mixed HSC-style questions involving terms, sums, limiting sums, sigma notation, compound interest, depreciation and annuity interpretation.
Lesson 6
Growth Factors, Compound Interest, and Depreciation
Use growth and decay factors to model compound interest and depreciation over repeated time periods.
Lesson 7
Recurrence Relations in Financial Contexts
Use recurrence relations to model savings, loans, deposits, repayments, and depreciation step by step.
Lesson 8
Future Value of Annuities
Calculate the future value of regular deposits with compound interest.
Lesson 9
Present Value and Loan Repayments
Use financial models to analyse loan balances, repayments, and present value.
Lesson 10
Comparing Financial Options
Compare savings, investment, depreciation, and loan options using equivalent financial calculations.
Lesson 11
Mixed Financial Mathematics Exam Practice
Practise mixed exam-style questions involving compound interest, recurrence, annuities, loans, and financial decision-making.