Year 5 - Maths
Explain the relationship between repeated addition of fractions and multiplication of fractions
Multiply a proper fraction by a whole number
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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 the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They will multiply a proper fraction by a whole number.
Lesson Summary
You will learn to explain the relationship between repeated addition of fractions and multiplication of fractions.
Key Notes
- Multiplication can be represented as repeated addition
- Use the language of unitising '__ groups of __ is equal to __'
Vocabulary To Learn
- Unit fraction: A unit fraction is a fraction where the numerator is 1
- Unitise: Unitising means treating groups that contain or represent the same number of things as units or ones.
- Non-unit fraction: A non-unit fraction is a fraction where the numerator is greater than 1
- Represent: To represent something is to show it in a different way.
Common Mistakes To Avoid
- Pupils struggle to group items to form unitised groups.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplication can be represented as repeated addition. Use the language of unitising '__ groups of __ is equal to __'.
2. Use this key word in a maths sentence and explain it clearly. 'Unit fraction'
A unit fraction is a fraction where the numerator is 1. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils struggle to group items to form unitised groups. Correction: Ensure time is spent labelling items in relation to the whole then move to grouping these items. Use the sentence stem: There are ___ lots of ___ _________. This is equal to ___ _________.
More Lessons In This Unit
- Explain the relationship between repeated addition of unit fractions and multiplication of fractions Study Guide
- Multiply a proper fraction by a whole number where the product is greater than a whole Study Guide
- Multiply a proper fraction by a whole number where the product is within a whole Study Guide
- Solve problems involving multiplying proper fractions by whole numbers Study Guide
Browse all guides in the Year 5 Maths guide library.