IGCSE / O LEVELS MATH LESSON PLAN 1.11 – Ratio and Proportion


Lesson 1: Understanding Ratios

SectionDetails
ObjectiveUnderstand 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.
ResourcesWorksheets, PowerPoint examples, recipe and map scale examples.
Time40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary).
HomeworkDivide quantities in ratios (e.g., share 120 in ratio 5:3, simplify 36:54).
AssessmentWorksheet: simplifying and dividing ratio problems.
Past Paper Practice“Simplify 20:30:40 to its simplest form.”

Lesson 2: Proportional Reasoning in Context

SectionDetails
ObjectiveApply 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.
ResourcesWorksheets, map scale diagrams, recipe examples.
Time40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary).
HomeworkSolve 10 real-life proportion problems (recipes, maps, shopping).
AssessmentWorksheet: ratio and proportion in context.
Past Paper Practice“Use ratio to determine best value between two products.”
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