Year 5 - Maths
Explain when a calculation represents scaling down and when it represents repeated addition
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 when a calculation represents scaling down and when it represents repeated addition.
Key Notes
- A calculation can represent scaling down or finding a fraction of the whole number.
- A calculation can represent repeated addition or finding lots of the fraction.
- Multiplication is commutative so the product will be the same.
Vocabulary To Learn
- Scaling: Scaling is when something is transformed, through either shrinking or enlarging by a scale factor.
- Repeated addition: Repeated addition is when the same object or value is added to itself more than once.
- Numerator: The numerator is the number on the top of a fraction. It tells us how many parts we have/need.
- Denominator: The denominator is the number on the bottom of a fraction. It tells us how many parts the whole has been divided into.
Common Mistakes To Avoid
- Pupils divide by the denominator and then multiply by the numerator without any conceptual understanding for why this works.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A calculation can represent scaling down or finding a fraction of the whole number. A calculation can represent repeated addition or finding lots of the fraction.
2. Use this key word in a maths sentence and explain it clearly. 'Scaling'
Scaling is when something is transformed, through either shrinking or enlarging by a scale factor. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils divide by the denominator and then multiply by the numerator without any conceptual understanding for why this works. Correction: Ensure pupils spend time exploring how dividing and multiplying by either the numerator or denominator works in relation to a scaling or repeated addition strategy. Encourage pupils to reason when they would use one strategy over the other.
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
- 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.