Lesson 1: Introduction to Indices
| Section | Details |
|---|---|
| Objective | Understand and use indices (positive, zero, negative, and fractional). |
| Activities | – Starter (5 mins): Write examples like 23,50,7−12^3, 5^0, 7^{-1} on the board → students predict values. – Main (30 mins): Teach meaning of indices (repeated multiplication), laws of indices, and special cases (zero and negative indices). Practice simple examples step by step. – Plenary (5 mins): Quick-fire quiz on index values. |
| Resources | Worksheets, PowerPoint slides, mini whiteboards. |
| Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
| Homework | Write first 10 powers of 2, 3, and 5. Evaluate questions like 3−2,100,81/33^{-2}, 10^0, 8^{1/3}. |
| Assessment | Worksheet: evaluate and simplify index expressions. |
| Past Paper Practice | “Find the value of 7−2,811/2,83/27^{-2}, 81^{1/2}, 8^{3/2}.” |
Lesson 2: Laws of Indices
| Section | Details |
|---|---|
| Objective | Understand and apply the laws of indices to simplify expressions. |
| Activities | – Starter (5 mins): Recap of previous lesson with quick questions. – Main (30 mins): Teach rules: am×an=am+na^m \times a^n = a^{m+n}, am÷an=am−na^m ÷ a^n = a^{m-n}, (am)n=amn(a^m)^n = a^{mn}. Work through examples, including fractional and negative powers. – Plenary (5 mins): Students solve 5 mixed law problems individually, then discuss answers. |
| Resources | Worksheets, PowerPoint with step examples. |
| Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
| Homework | Solve 15 problems applying laws of indices (mix of integer, fractional, and negative). |
| Assessment | Worksheet: simplify index expressions using the rules. |
| Past Paper Practice | Simplify expressions such as (23×24),(35÷32),(42)3(2^3 \times 2^4), (3^5 ÷ 3^2), (4^2)^3. |
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