Year 6 - Maths
Explain how to compare pairs of non-related fractions using fraction sense
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 using fraction sense.
Key Notes
- In fractions equivalent to a whole, the numerator is the same as the denominator.
- The size of the denominator tells you the size of one part of the whole.
- The greater the denominator, the smaller the parts of the whole.
- The smaller the denominator, the smaller the parts of the whole.
Vocabulary To Learn
- Magnitude: The magnitude of something refers to the size of something.
Common Mistakes To Avoid
- Pupils automatically want to compare fractions using common denominators, following a procedure to convert fractions to an equivalent with the same denominator.
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 whole, the numerator is the same as the denominator. The size of the denominator tells you the size of one part of the whole.
2. Use this key word in a maths sentence and explain it clearly. 'Magnitude'
The magnitude of something refers to the size of something. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils automatically want to compare fractions using common denominators, following a procedure to convert fractions to an equivalent with the same denominator. Correction: Spend time looking at a variety of examples that can be reasoned about without the need to convert to common denominators. It can be helpful to represent these examples using bar model help discuss the relationships between the whole and its parts.
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 by comparing to a half 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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