Year 6 - Maths
Explain how to compare pairs of non-related fractions by comparing to a half
Comparing fractions
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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 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 how to compare pairs of non-related fractions by comparing to a half.
Key Notes
- In fractions equivalent to a half, the numerator is half the value of the denominator.
- When the numerator is more than half the value of the denominator, the fraction is greater than a half.
- When the numerator is less than half the value of the denominator, the fraction is less than a half.
Vocabulary To Learn
- Proper fraction: A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number).
- Order: To order things means to put things into their correct place following a set rule.
Common Mistakes To Avoid
- Pupils struggle to compare fractions to a half as they mainly consider it in its simplest form.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
In fractions equivalent to a half, the numerator is half the value of the denominator. When the numerator is more than half the value of the denominator, the fraction is greater than a half.
2. Use this key word in a maths sentence and explain it clearly. 'Proper fraction'
A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number). 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 compare fractions to a half as they mainly consider it in its simplest form. Correction: Encourage pupils to visualise their fractions on a number line. Also spend time thinking about the relationship between the numerator and the denominator in fractions equivalent to one-half and use this generalisation to help moving forward.
More Lessons In This Unit
- Explain how to compare non-related fractions finding equivalent fractions with common denominators Study Guide
- Explain how to compare pairs of non-related fractions using fraction sense Study Guide
- Explain which strategy for comparing non-related fractions is most efficient Study Guide
- Order sets of non-related fractions using a range of strategies Study Guide
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