Percentages — Year 5 Lesson Plan
National Curriculum: Mathematics — Number: fractions (including decimals and percentages), Year 5
Overview
Pupils develop their understanding of percentages as parts of a whole, building on prior knowledge of fractions and decimals. They learn to find percentages of amounts, convert between percentages, fractions and decimals, and apply percentage reasoning to real-world contexts such as discounts and comparisons.
Learning Objectives
- Understand that per cent means 'out of 100' and relate this to fractions and decimals.
- Find simple percentages of amounts (50%, 25%, 10%, 1%).
- Convert between percentages, decimals, and fractions.
- Solve problems involving percentages in real-life contexts.
Key Vocabulary
Suggested Lesson Structure
Display a 100-square with sections shaded. Ask: 'What fraction is shaded? What percentage? What decimal?' Establish the connection between all three representations.
Model how to find 50% (÷2), 25% (÷4), 10% (÷10), and 1% (÷100) of amounts using bar models and number lines. Demonstrate how to combine these to find other percentages (e.g. 15% = 10% + 5%). Show the fraction and decimal equivalents for common percentages.
Pupils work through a set of percentage-of-amount problems in pairs using mini whiteboards. Include a real-world context: 'A coat costs £80. It is 25% off. How much is saved?' Share and discuss strategies.
Pupils complete a differentiated set of problems: finding percentages of amounts, ordering percentages/fractions/decimals, and a challenge problem involving percentage increase.
Quick-fire questions: pupils show answers on whiteboards. Recap the key equivalences. Ask: 'How could you find 35% of 200 using what you know?'
Common Misconceptions
- Pupils confuse 'percentage of' with 'percentage off': 10% of £50 is £5, but 10% off £50 means you pay £45.
- Some pupils divide by the percentage rather than by 100 first — reinforce the 'find 1% then multiply' strategy.
- Pupils may not understand that percentages greater than 100% are possible.
Prior Knowledge
Pupils should already be able to:
- Understanding of fractions as parts of a whole.
- Knowledge of decimal notation and place value.
- Ability to divide whole numbers by 2, 4, 10, and 100.
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