Year 5 - Maths
Explain the relationship between repeated addition of unit 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 unit fractions and multiplication of fractions.
Key Notes
- Multiplication can be represented as repeated addition
- Multiplication can be represented as scaling
- Use the language of unitising '__ groups of __ is equal to __'
Vocabulary To Learn
- Repeated addition: Repeated addition is the process of adding the same equal group to itself multiple times.
- Unit fraction: A unit fraction is a fraction where the numerator is 1
- Represent: To represent something is to show it in a different way.
Common Mistakes To Avoid
- Pupils consider the whole number to represent an area as well as the fraction.
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. Multiplication can be represented as scaling.
2. Use this key word in a maths sentence and explain it clearly. 'Repeated addition'
Repeated addition is the process of adding the same equal group to itself multiple times. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils consider the whole number to represent an area as well as the fraction. Correction: Take time to discuss what each of the numbers in the expressions represent and link this to the context it is set in.
More Lessons In This Unit
- Explain the relationship between repeated addition of 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.