Year 5 - Maths
Explain how finding a fraction of a quantity relates to multiplying by a unit 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 explain how finding a fraction of a quantity relates to multiplying by a unit fraction.
Key Notes
- Half of a number is the same as a half multiplied by the number.
- If half of 10 is 5 then 1/2 x 10 = 5
- Finding a fraction of a number is the same as multiplying the number by the fraction.
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.
Common Mistakes To Avoid
- Pupils struggle to see the relationship between the different number rods.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Half of a number is the same as a half multiplied by the number. If half of 10 is 5 then 1/2 x 10 = 5.
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 see the relationship between the different number rods. Correction: Take time with pupils for them to explore the use of number rods if they have not done so before. You might ask pupils to find rods that are half the size of different coloured rods, so they can estimate sizes and draw attention to the relationship.
More Lessons In This Unit
- Explain how dividing by a whole number 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
- 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
Browse all guides in the Year 5 Maths guide library.