Lesson 1: Introduction to Surds
| Section | Details |
|---|---|
| Objective | Understand and use surds; simplify expressions involving square roots. |
| Activities | – Starter (5 mins): Ask: “Is √16 a whole number? Is √20?” – Main (30 mins): Teach definition of surds (irrational roots). Practice simplifying surds (e.g., √20 = 2√5, √200 – √32 = 6√2). – Plenary (5 mins): Quick quiz: simplify 5 surds. |
| Resources | Worksheets, PowerPoint with worked examples, calculator (for checking). |
| Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
| Homework | Simplify 15 surds. |
| Assessment | Worksheet: surd simplification exercises. |
| Past Paper Practice | “Simplify √200 – √32.” |
Lesson 2: Rationalising the Denominator
| Section | Details |
|---|---|
| Objective | Rationalise denominators of fractions involving surds. |
| Activities | – Starter (5 mins): Write 1/√3 on board, ask how to simplify. – Main (30 mins): Teach process of rationalising denominators with single and binomial surds (e.g., 5/√10 = √10/2, (1/√3) + (1/(1+√3))). Work through step-by-step problems. – Plenary (5 mins): Students solve 3 rationalisation problems individually. |
| Resources | Worksheets, mini whiteboards, PowerPoint examples. |
| Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
| Homework | 12 rationalisation problems (simple and binomial denominators). |
| Assessment | Worksheet: rationalising denominators. |
| Past Paper Practice | “Rationalise the denominator of 1 / (1 + √3).” |
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