Year 5 - Maths
Use knowledge of multiplying a whole number by a unit fraction to solve problems
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 knowledge of multiplying a whole number by a unit fraction to solve problems.
Key Notes
- Finding a fraction of a number is the same as multiplying the number by the fraction.
- 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__ equal parts describes dividing by __
Vocabulary To Learn
- Equation: An equation is used to show that one number, calculation or expression is equal to another.
- Strategy: A strategy is a plan or method to achieve a specific goal.
Common Mistakes To Avoid
- Pupils struggle to unpick the maths required of them from the worded problems.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Finding a fraction of a number is the same as multiplying the number by the fraction. Multiplying a number by a unit fraction is equivalent to dividing the number by the denominator of the fraction.
2. Use this key word in a maths sentence and explain it clearly. 'Equation'
An equation is used to show that one number, calculation or expression is equal to another. 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 unpick the maths required of them from the worded problems. Correction: Encourage pupils to draw a bar model for each problem. This will help them to identify what information is known, for example, whether the problem indicates if the whole, the value of a part, or the size of a part is known.
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
- Multiply a whole number by a proper fraction Study Guide
Browse all guides in the Year 5 Maths guide library.