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Year 6 - Maths

Explain which strategy for comparing non-related fractions is most efficient

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 explain which strategy for comparing non-related fractions is most efficient.

Key Notes

  • If the numerator is the same, the greater the denominator, the smaller the fraction.
  • If the numerator 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

  • Common denominator: When two or more fractions share the same denominator, you can say they have a common denominator.
  • Magnitude: The magnitude of something refers to the size of something.
  • Efficient: To be efficient means finding a way to solve a problem quickly whilst also maintaining accuracy.

Common Mistakes To Avoid

  • Pupils look to convert all fractions so that they have a common denominator in order to compare them.

3 Quick Questions (With Answers)

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

If the numerator is the same, the greater the denominator, the smaller the fraction. If the numerator is the same, the greater the numerator, the larger the fraction.

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

When two or more fractions share the same denominator, you can say they have a common 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 look to convert all fractions so that they have a common denominator in order to compare them. Correction: The vast majority of fractions can be compared without common denominators. To support this, pupils need to have a strong sense of the magnitude of the fractions they are comparing. Do not feel you need to move away from bar models too quickly.

More Lessons In This Unit

Browse all guides in the Year 6 Maths guide library.