Year 5 - Maths
Multiply a whole number by a proper fraction
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 multiply a whole number by a proper fraction.
Key Notes
- The whole has been divided into __ equal parts and there are __ in each part.
- Divide the whole number into equal parts by dividing by the denominator.
- The numerator tells you how many of the equal parts you need.
- To calculate a non-unit fraction you divide the number by the denominator and multiply by the numerator.
Vocabulary To Learn
- relationship: A relationship is a connection between two or more things.
- unit fraction: A unit fraction is a fraction that has a numerator of one.
- non-unit fraction: A non-unit fraction is a fraction that has a numerator greater than one.
Common Mistakes To Avoid
- Pupils struggle to identify how much the rod has been scaled by as they cannot visualise the fractional size of the new whole.
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. Divide the whole number into equal parts by dividing by the denominator.
2. Use this key word in a maths sentence and explain it clearly. 'relationship'
A relationship is a connection between two or more things. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils struggle to identify how much the rod has been scaled by as they cannot visualise the fractional size of the new whole. Correction: Encourage pupils to visualise how much the whole has shrunk by. Avoid pupils using the rods to immediately find out what size of the new whole, encourage pupils to visualise and estimate prior to checking with the rods.
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 of a quantity using representations 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
- Use knowledge of multiplying a whole number by a unit fraction to solve problems Study Guide
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