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Year 6 - Maths

Order sets of non-related fractions using a range of strategies

Comparing fractions

Unit Summary

In this unit pupils will use their fraction sense to explain how to compare pairs of non-related fractions either by converting to common denominators or using fraction knowledge and understanding.

Lesson Summary

You will learn to decide on the most efficient strategy to compare and order fractions.

Key Notes

  • There are many ways to compare and order fractions.
  • If the numerator is the same, the greater the denominator, the smaller the fraction.
  • If the denominator is the same, the greater the numerator, the larger the fraction.
  • In fractions equivalent to a whole, the numerator is the same as the denominator.
  • In fractions equivalent to a half, the numerator is half the value of the denominator.

Vocabulary To Learn

  • Improper fraction: An improper fraction is a fraction where the numerator is greater than the denominator.
  • Proper fraction: A proper fraction is a fraction where the numerator is less than the denominator.

Common Mistakes To Avoid

  • Pupils convert to common denominators to order fractions rather then use their sense of magnitude for each fraction they are comparing.

3 Quick Questions (With Answers)

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

There are many ways to compare and order fractions. If the numerator is the same, the greater the denominator, the smaller the fraction.

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

An improper fraction is a fraction where the numerator is greater than the denominator. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils convert to common denominators to order fractions rather then use their sense of magnitude for each fraction they are comparing. Correction: Encourage pupils to step back at first from procedure and ask themselves what they notice about the fractions. Can they spot fractions that are equivalent to a quarter or a half?

More Lessons In This Unit

Browse all guides in the Year 6 Maths guide library.