Year 3 - Maths
Explain that non-unit fractions are made of more than one unit fraction
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 explain that non-unit fractions are made of more than one unit fraction.
Key Notes
- A non-unit fraction has a numerator greater than 1; it is composed of more than one unit fraction.
- We say, 'the whole has been divided into ___ equal parts, and I have ___ of them'.
- Dual language of 'five-sixths' and 'five one-sixths' can be used to describe non-unit fractions.
- When describing a fraction of the whole, the whole could be a shape, a line or a group of objects.
Vocabulary To Learn
- Non-unit fraction: A non-unit fraction has a numerator greater than 1
Common Mistakes To Avoid
- Pupils may not recognise the total number of equal parts that make up the whole and may instead just count the number they have / are shaded for example.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A non-unit fraction has a numerator greater than 1; it is composed of more than one unit fraction. We say, 'the whole has been divided into ___ equal parts, and I have ___ of them'.
2. Use this key word in a maths sentence and explain it clearly. 'Non-unit fraction'
A non-unit fraction has a numerator greater than 1. 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 not recognise the total number of equal parts that make up the whole and may instead just count the number they have / are shaded for example. Correction: Encourage pupils to count the total number of equal parts that make up the whole and then the number that are shaded. Stress that the denominator shows the number of equal parts that make up the whole and that the numerator shows the number we have.
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
- 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
- Review comparing unit fractions Study Guide
- Use knowledge of non-unit fractions to solve problems Study Guide
- Use knowledge of unit fractions to find one whole Study Guide
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