Year 3 - Maths
Place fractions between 0 and 1 on a number line
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 place fractions between 0 and 1 on a number line.
Key Notes
- A fraction is a number and has an exact position on a number line.
- Fractions can be ordered and positioned on a number line.
- Unit and non-unit proper fractions lie between 0 and 1 on a number line.
- In a proper fraction, the numerator is less than the denominator.
Vocabulary To Learn
- Proper fraction: In a proper fraction, the numerator is less than the denominator.
Common Mistakes To Avoid
- Pupils may make mistakes when using number lines to represent fractions, especially with bar representations that do not begin at zero.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A fraction is a number and has an exact position on a number line. Fractions can be ordered and positioned on a number line.
2. Use this key word in a maths sentence and explain it clearly. 'Proper fraction'
In a proper fraction, the numerator is less than the denominator. 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 make mistakes when using number lines to represent fractions, especially with bar representations that do not begin at zero. Correction: Link teaching to measurement. When measuring the length of a object, the measurement needs to begin at zero.
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
- 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
Browse all guides in the Year 3 Maths guide library.