Year 3 - Maths
Review comparing unit fractions
Non-unit fractions
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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 that non-unit fractions are composed of more than one unit fraction using knowledge of unit fractions to find one whole.
Lesson Summary
You will learn to compare unit fractions.
Key Notes
- When the whole is the same, the greater the number of equal parts, the smaller each equal part is.
- When the whole is the same, the smaller the number of equal parts, the larger each equal part is.
- When comparing unit fractions, the greater the denominator, the smaller the fraction.
- When comparing unit fractions, the smaller the denominator, the larger the fraction.
Vocabulary To Learn
- Denominator: A denominator is the bottom number written in a fraction.
- Unit fraction: A unit fraction is any fraction where the numerator is 1
Common Mistakes To Avoid
- Pupils may struggle to see that a unit fraction with a larger denominator is smaller than a unit fraction with a smaller denominator.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When the whole is the same, the greater the number of equal parts, the smaller each equal part is. When the whole is the same, the smaller the number of equal parts, the larger each equal part is.
2. Use this key word in a maths sentence and explain it clearly. 'Denominator'
A denominator is the bottom number written in a fraction. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may struggle to see that a unit fraction with a larger denominator is smaller than a unit fraction with a smaller denominator. Correction: Pupils should be supported to visualise each fraction before moving on to interpreting abstract fraction notation. Encourage them to see the connection between the number of equal parts and the relative size of the fractions.
More Lessons In This Unit
- Compare fractions with the same numerator Study Guide
- Compare non-unit fractions including those equal to 1 Study Guide
- Compare non-unit fractions with the same denominator Study Guide
- Explain that non-unit fractions are made of more than one unit fraction Study Guide
- Identify non-unit fractions Study Guide
- Identifying equal parts in a whole in different contexts Study Guide
- Place fractions between 0 and 1 on a number line Study Guide
- Use knowledge of non-unit fractions to solve problems Study Guide
- Use knowledge of unit fractions to find one whole Study Guide
Browse all guides in the Year 3 Maths guide library.