Year 5 - Maths
Find the whole when the size of a non-unit fraction is known
Find unit and non-unit fractions of whole numbers exploring parts and wholes
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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 find unit and non-unit fractions of whole numbers and explore parts and wholes.
Lesson Summary
You will learn to find the whole when the size of a non-unit fraction is known.
Key Notes
- This is __ of the whole so one part of the whole is __
- There will be __ of these parts in the whole
- If you work out the size of a unit fraction from the non-unit fraction, you can work out the size of the whole
Vocabulary To Learn
- represent: To represent something means to show something in a different way. The same thing can be shown using multiple representations.
- unit fraction: A unit fraction is a fraction that has a numerator of one.
- non-unit fraction: A non-unit fraction is a fraction that has a numerator greater than one.
- denominator: The denominator is the bottom number in a fraction.
- numerator: The numerator is the top number in a fraction.
Common Mistakes To Avoid
- Pupils multiply the non-unit fraction by the denominator to create the whole.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
This is __ of the whole so one part of the whole is __. There will be __ of these parts in the whole.
2. Use this key word in a maths sentence and explain it clearly. 'represent'
To represent something means to show something in a different way. The same thing can be shown using multiple representations. 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 the non-unit fraction by the denominator to create the whole. Correction: Ensure pupils spend time breaking down non-unit fractions back into unit fractions. Encourage pupils to recognise this as two stages. Firstly, find the unit fraction. Secondly, re-create the whole.
More Lessons In This Unit
- Explain how dividing by a whole number relates to multiplying by a unit fraction Study Guide
- Explain how finding a fraction of a quantity relates to multiplying by a unit fraction Study Guide
- Explain when a calculation represents scaling down and when it represents repeated addition Study Guide
- Find a non-unit fraction of a quantity using mental and written calculation strategies Study Guide
- Find a unit fraction of a quantity using representations Study Guide
- Find a unit fraction when the size of a non-unit fraction is known Study Guide
- Find the whole when the size of a unit fraction is known Study Guide
- Multiply a whole number by a proper fraction Study Guide
- Use knowledge of multiplying a whole number by a unit fraction to solve problems Study Guide
Browse all guides in the Year 5 Maths guide library.