Year 5 - Maths
Find a non-unit fraction of a quantity using mental and written calculation strategies
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 use mental and written calculation strategies to find a non-unit fraction of a quantity.
Key Notes
- The whole has been divided into __ equal parts and there are __ in each part.
- Use representations of sets of objects to divide them into equal parts.
- Count how many objects are in the number of parts needed.
Vocabulary To Learn
- Denominator: The denominator is the bottom number of a fraction. It tells you how many equal parts the whole has been divided into.
- Numerator: The numerator is the top number of a fraction. It tells you how many parts we have, or are needed.
Common Mistakes To Avoid
- Pupils procedurally divide by the denominator and multiply by the numerator without an understanding for why they do this.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The whole has been divided into __ equal parts and there are __ in each part. Use representations of sets of objects to divide them into equal parts.
2. Use this key word in a maths sentence and explain it clearly. 'Denominator'
The denominator is the bottom number of a fraction. It tells you how many equal parts the whole has been divided into. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils procedurally divide by the denominator and multiply by the numerator without an understanding for why they do this. Correction: Take time to ensure pupils link how the fraction relates to the bar model. Using the sentence stem 'The whole has been divided into ___ equal parts, and we need ___ of them,' can help to make sense of the fraction in relation to the bar model.
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 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 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.