Year 3 - Maths
Represent unit fractions in different ways
Unit fractions as part of a whole
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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 represent unit fractions in different ways, identifying the whole, the number of equal parts and the size of each part as a unit fraction, including tenths.
Lesson Summary
You will learn to represent unit fractions in different ways.
Key Notes
- You can represent fractions with a picture.
- You can represent fractions with symbols.
- You can represent fractions with names.
Vocabulary To Learn
- Half: A half is one equal part of a whole that has been divided into 2 equal parts.
- Third: A third is one equal part of a whole that has been divided into 3 equal parts.
- Quarter: A quarter is one equal part of a whole that has been divided into 4 equal parts.
- Fifth: A fifth is one equal part of a whole that has been divided into 5 equal parts.
Common Mistakes To Avoid
- It is very common for children to generalise the linguistic pattern of adding the suffix of 'th' to create fraction names even though there are special cases mentioned in the slides.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
You can represent fractions with a picture. You can represent fractions with symbols.
2. Use this key word in a maths sentence and explain it clearly. 'Half'
A half is one equal part of a whole that has been divided into 2 equal parts. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: It is very common for children to generalise the linguistic pattern of adding the suffix of 'th' to create fraction names even though there are special cases mentioned in the slides. Correction: Make good use of your learning wall here and display the names prominently paired with their fractional notation. Inject some fun by making a game of it: say incorrect fraction names during your own explanations and get the children to correct you.
More Lessons In This Unit
- Construct a whole when given a part and the number of parts Study Guide
- Explain the size of a part in relation to the whole Study Guide
- Explain why a part can only be defined in relation to a whole Study Guide
- Identify a whole and the parts that make it up Study Guide
- Identify equal parts when they do not look the same Study Guide
- Identify how many equal parts a whole has been divided into Study Guide
- Identify the number of equal or unequal parts in a whole Study Guide
- Solve problems involving identifying equal parts and the whole Study Guide
- Use fraction notation to describe an equal part of the whole Study Guide
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