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Year 5 - Maths

Solve problems involving fractions and mixed numbers

Multiply improper fractions and mixed numbers by a whole number

Unit Summary

In this unit pupils will multiply an improper fraction and a mixed number by a whole number.

Lesson Summary

You will learn to solve problems involving fractions and mixed numbers.

Key Notes

  • Use the language of unitising '__ groups of __ is equal to __'
  • Partition the mixed number into a whole number and a fraction.
  • Explain which is the most efficient strategy to multiply fractions and mixed numbers.

Vocabulary To Learn

  • Represent: To represent something means to show it in a different way.

Common Mistakes To Avoid

  • Pupils struggle to represent problems as a bar model.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

Use the language of unitising '__ groups of __ is equal to __'. Partition the mixed number into a whole number and a fraction.

2. Use this key word in a maths sentence and explain it clearly. 'Represent'

To represent something means to show it in a different way. 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 represent problems as a bar model. Correction: Encourage pupils to draw their own image of what the maths represents. Make connections between their own image and a bar model, linking them both to where the numbers are represented in each image.

More Lessons In This Unit

Browse all guides in the Year 5 Maths guide library.