Year 5 - Maths
Multiply a proper fraction by a whole number where the product is within a whole
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 multiply a proper fraction by a whole number where the product is within a whole.
Key Notes
- If 4 groups of 2 are equal to 8 then 4 groups of 2 ninths are equal to 8 ninths
- __ groups of __ is equal to __
- The numerator of the fraction is multiplied by the whole number and the denominator remains the same
Vocabulary To Learn
- Represent: To represent something is to show it in a different way.
- Numerator: A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.
- Denominator: A numerator is the top number in a fraction. It shows how many parts we have.
- Unitise: Unitising means treating groups that contain or represent the same number of things as units or ones.
Common Mistakes To Avoid
- Pupils multiply both the numerator and denominator by the whole number.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If 4 groups of 2 are equal to 8 then 4 groups of 2 ninths are equal to 8 ninths. __ groups of __ is equal to __.
2. Use this key word in a maths sentence and explain it clearly. 'Represent'
To represent something is to show it in a different way. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils multiply both the numerator and denominator by the whole number. Correction: Ensure pupils are given time to explore how equations are represented using multiple representations and avoiding 'finding the answer' initially. Encourage children to reason how each equation is linked to the representations.
More Lessons In This Unit
- Explain the relationship between repeated addition of fractions and multiplication of fractions Study Guide
- 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
- Solve problems involving multiplying proper fractions by whole numbers Study Guide
Browse all guides in the Year 5 Maths guide library.