Lesson 1: Understanding Exponential Growth
| Section | Details |
|---|---|
| Objective | Use exponential growth to solve real-life problems (population, investments, bacteria growth). |
| Activities | – Starter (5 mins): Ask: “If a population doubles every year starting at 100, what will it be after 3 years?” – Main (30 mins): Teach concept of exponential growth. Work through examples of population growth, compound increase, and investments. Use simple tables to show repeated multiplication. – Plenary (5 mins): Quick quiz with 3 growth problems. |
| Resources | Worksheets, calculator, PowerPoint examples. |
| Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
| Homework | Solve 8 exponential growth problems. |
| Assessment | Worksheet: population and growth calculations. |
| Past Paper Practice | “A population of 500 increases by 5% each year. Find the population after 3 years.” |
Lesson 2: Understanding Exponential Decay
| Section | Details |
|---|---|
| Objective | Use exponential decay to solve real-life problems (depreciation, radioactive decay). |
| Activities | – Starter (5 mins): Ask: “A car worth $20,000 loses 10% of its value each year. What’s its value after 1 year?” – Main (30 mins): Teach concept of exponential decay. Work through depreciation problems and half-life style examples. Show link with repeated percentage decrease. – Plenary (5 mins): Group challenge: solve a decay problem on mini whiteboards. |
| Resources | Worksheets, calculator, real-life depreciation examples. |
| Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
| Homework | 10 exponential decay problems (depreciation, population decrease). |
| Assessment | Worksheet: depreciation and decay calculations. |
| Past Paper Practice | “A machine worth $6000 depreciates by 15% per year. Find its value after 3 years.” |
Leave a Reply