Year 6 - Maths
Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts
Understanding percentages
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems.
Lesson Summary
You will learn to use fraction, decimal and percentage conversions to solve problems.
Key Notes
- To convert from percent to a fraction, start by converting each percentage into a fraction with a denominator of 100
- Use factor pairs to help you identify the highest common factor.
- The percentage parts always add together to be equal to 100%
Vocabulary To Learn
- Convert: Convert means to change from one form to another.
- Percent: Percent means the number of parts in each hundred.
- Percentage: A percentage is a proportion of a whole.
Common Mistakes To Avoid
- Pupils may find simplifying fractions difficult and understanding that they first need to identify the highest common factor.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
To convert from percent to a fraction, start by converting each percentage into a fraction with a denominator of 100. Use factor pairs to help you identify the highest common factor.
2. Use this key word in a maths sentence and explain it clearly. 'Convert'
Convert means to change from one form to another. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may find simplifying fractions difficult and understanding that they first need to identify the highest common factor. Correction: Model writing out fraction pairs and finding the highest common factor. Have worked examples displayed for pupils to reference.
More Lessons In This Unit
- Explain how to convert a percentage to a fraction without a denominator of 100 Study Guide
- Explain how to convert percentages to decimals and fractions with a denominator of 100 Study Guide
- Explain how to solve problems where the percentage part and size is known but the whole is unknown Study Guide
- Explain what percent means and represent a percentage in different ways Study Guide
- Solve problems involving percentages in a range of contexts Study Guide
- Solve problems where the known percentage part and size represents a change to the whole Study Guide
- Use knowledge of calculating 50%, 10% and 1% of a number to solve problems in a range of contexts Study Guide
- Use knowledge of calculating any percentage of a number to solve problems in a range of contexts Study Guide
- Use knowledge of calculating common percentages of a number to solve problems in a range of contexts Study Guide
Browse all guides in the Year 6 Maths guide library.