Year 5 - Maths
Explain how dividing by a whole number 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 dividing by a whole number relates to multiplying by a unit fraction.
Key Notes
- Multiplying a number by a unit fraction is equivalent to dividing the number by the denominator of the fraction.
- The whole has been divided into 4 equal parts describes dividing into 4 quarters.
- The whole has been divided into 4 equal parts describes dividing by 4 (sharing).
Vocabulary To Learn
- Expression: An expression contains one or more values, where each value is separated by an operator.
- Equation: An equation is used to show that one number, calculation or expression is equal to another.
- Denominator: The denominator is the bottom number in a fraction.
Common Mistakes To Avoid
- Pupils struggle to identify how each of the expressions relate to each other.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplying a number by a unit fraction is equivalent to dividing the number by the denominator of the fraction. The whole has been divided into 4 equal parts describes dividing into 4 quarters.
2. Use this key word in a maths sentence and explain it clearly. 'Expression'
An expression contains one or more values, where each value is separated by an operator. 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 each of the expressions relate to each other. Correction: Ensure connections are made between the bar models, your language and the expressions. Give particular attention to how the fraction links to how the bar model can be drawn, particularly when dividing the bar model into ___ parts.
More Lessons In This Unit
- 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
- 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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