Year 5 - Maths
Find a unit fraction of a quantity using representations
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 representations to find a 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 each equal part.
Vocabulary To Learn
- Representation: A representation is a way of showing an idea or concept. One concept can be be shown by multiple representations.
Common Mistakes To Avoid
- Pupils confuse the fraction part of each whole with the value of the number of items in each part.
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. 'Representation'
A representation is a way of showing an idea or concept. One concept can be be shown by multiple representations. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils confuse the fraction part of each whole with the value of the number of items in each part. Correction: Progressively build from looking at the size of each part in relation to the whole using bar models to start with. After pupils are secure with this, introduce the quantities and be clear to distinguish between the value and size of each part.
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 non-unit fraction of a quantity using mental and written calculation strategies 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
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