MA19-07 Maths Coming soon
Growth and decay using repeated percentage multipliers
This lesson is coming soon.
In this lesson
Build a growth or decay multiplier from first principles and raise it to a power to calculate compound interest or depreciation over several periods, then express the process as the general formula A = P(1+r)^n.
What it covers
- Building a growth multiplier (100% + r%) or decay multiplier (100% - r%) from first principles
- Applying that multiplier repeatedly across n periods by raising it to the power n
- Calculating compound interest and depreciation using this method
- Generalising the repeated-multiplication method into the formula A = P(1+r)^n and using it directly to find a final amount
Key words
For: AQA GCSE 8300, Cambridge IGCSE 0580, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | R16 | Set up, solve and interpret the answers in growth and decay problems, including compound interest |
| Cambridge IGCSE 0580 | C1.13 | Calculate a given percentage of a quantity. |
| Cambridge IGCSE 0580 | E1.13 | Calculate a given percentage of a quantity. |
| Cambridge IGCSE 0580 | E1.17 | Use exponential growth and decay. |
| Edexcel GCSE 1MA1 | R16 | Set up, solve and interpret the answers in growth and decay problems, including compound interest |
| Edexcel IGCSE 4MA1 | F1.6G | Use compound interest and depreciation |
| Edexcel IGCSE 4MA1 | H1.6A | Use repeated percentage change |
| Edexcel IGCSE 4MA1 | H1.6B | Solve compound interest problems |
| Eduqas GCSE C300 | FR16 | Set up, solve and interpret the answers in growth and decay problems, including compound interest |
| Eduqas GCSE C300 | HR17 | Set up, solve and interpret the answers in growth and decay problems, including compound interest and work with general iterative processes |
| OCR GCSE J560 | 5.03a | Calculate simple interest including in financial contexts. |
For teachers
This GCSE Maths lesson teaches growth and decay using repeated percentage multipliers. By the end, students should be able to build a growth or decay multiplier from first principles and raise it to a power to calculate compound interest or depreciation over several periods, then express the process as the general formula A = P(1+r)^n. It works through three worked examples and the mistakes examiners report.