Lesson 1: Understanding Ratios
Section | Details |
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Objective | Understand and use ratios; express ratios in simplest form and divide a quantity in a given ratio. |
Activities | – Starter (5 mins): Write 20:30:40 on board → ask students to simplify. – Main (30 mins): Teach simplifying ratios, dividing quantities (e.g., sharing $60 in ratio 2:3). Work through practical examples (recipes, maps). – Plenary (5 mins): Quick-fire quiz: teacher gives a ratio, students simplify or divide. |
Resources | Worksheets, PowerPoint examples, recipe and map scale examples. |
Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
Homework | Divide quantities in ratios (e.g., share 120 in ratio 5:3, simplify 36:54). |
Assessment | Worksheet: simplifying and dividing ratio problems. |
Past Paper Practice | “Simplify 20:30:40 to its simplest form.” |
Lesson 2: Proportional Reasoning in Context
Section | Details |
---|---|
Objective | Apply proportional reasoning and ratios to real-life contexts. |
Activities | – Starter (5 mins): Warm-up – which is better value: 3 pens for $6 or 5 pens for $9? – Main (30 mins): Teach solving proportion problems (map scales, recipe adjustments, best value). Work through word problems. – Plenary (5 mins): Class challenge: adapt a recipe for different serving sizes. |
Resources | Worksheets, map scale diagrams, recipe examples. |
Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
Homework | Solve 10 real-life proportion problems (recipes, maps, shopping). |
Assessment | Worksheet: ratio and proportion in context. |
Past Paper Practice | “Use ratio to determine best value between two products.” |
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