IGCSE / O LEVELS MATH LESSON PLAN 1.13 – Percentages

Lesson 1: Basic Percentage Calculations

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ObjectiveCalculate a given percentage of a quantity; express one quantity as a percentage of another.
Activities– Starter (5 mins): Ask: “What is 25% of 60?” – Main (30 mins): Teach percentage of a quantity and percentage comparisons. Practice with money and marks examples. – Plenary (5 mins): Quick quiz with real-life examples (discounts, scores).
ResourcesWorksheets, calculator, PowerPoint examples.
Time40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary).
HomeworkWrite 10 problems finding percentages of given values.
AssessmentWorksheet: basic percentage calculations.
Past Paper Practice“Find 15% of 320.”

Lesson 2: Percentage Increase and Decrease

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ObjectiveCalculate percentage increase and decrease in different contexts.
Activities– Starter (5 mins): Quick example: A price rises from $50 to $60. What is the percentage increase? – Main (30 mins): Teach step-by-step method for percentage change. Apply to prices, profits, losses, and marks. – Plenary (5 mins): Group exercise – students solve shopping discount questions.
ResourcesWorksheets, calculator, real-life price examples.
Time40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary).
HomeworkSolve 10 increase/decrease problems.
AssessmentWorksheet: percentage change exercises.
Past Paper Practice“The cost increases from $240 to $300. Find the percentage increase.”

Lesson 3: Compound Interest and Repeated Percentage Change

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ObjectiveCalculate compound interest and solve problems involving repeated percentage change.
Activities– Starter (5 mins): Ask: “If $100 earns 10% interest in 1 year, what will it be after 2 years?” – Main (30 mins): Teach compound interest formula and repeated percentage change. Work through examples with savings, population growth, and depreciation. – Plenary (5 mins): Mini test with 3 compound interest questions.
ResourcesWorksheets, calculator, PowerPoint with formula examples.
Time40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary).
HomeworkPractice 8 compound interest and depreciation problems.
AssessmentWorksheet: compound interest and repeated percentage change.
Past Paper Practice“A machine valued at $6000 depreciates 10% each year. Find its value after 3 years.”

Lesson 4: Reverse Percentages

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ObjectiveSolve reverse percentage problems (find original value given final value and percentage).
Activities– Starter (5 mins): Quick warm-up – “Selling price = $120, profit = 20%. What was cost price?” – Main (30 mins): Teach reverse percentages step by step. Practice profit, loss, and discount problems. – Plenary (5 mins): Class discussion on common mistakes in reverse percentages.
ResourcesWorksheets, calculator, real-life sales examples.
Time40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary).
Homework10 reverse percentage problems (cost price, selling price, profit/loss).
AssessmentWorksheet: reverse percentage calculations.
Past Paper Practice“Find the cost price given selling price $120 and profit = 20%.”
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