Year 5 - Maths
Use representations to describe and compare two fractions in a continuous context
Comparing fractions using equivalence and decimals
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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 representations to describe and compare two fractions. They will explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals.
Lesson Summary
You will learn to use representations to describe and compare fractions in a continuous context.
Key Notes
- Number lines and scales represent fractions in a continuous context.
- The whole has been divided into __ equal parts and the line shows __ of them.
Vocabulary To Learn
- Continuous: Continuous means that every position on the line or scale has a value.
- Equal: Equal means that something has exactly the same amount or value.
Common Mistakes To Avoid
- Children need to understand that fractions can also be fractions of 1 and have an exact position on a number line. There may be confusion over labelling an exact point rather than a part of the line.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Number lines and scales represent fractions in a continuous context. The whole has been divided into __ equal parts and the line shows __ of them.
2. Use this key word in a maths sentence and explain it clearly. 'Continuous'
Continuous means that every position on the line or scale has a value. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children need to understand that fractions can also be fractions of 1 and have an exact position on a number line. There may be confusion over labelling an exact point rather than a part of the line. Correction: Use the language of labelling a point on the line and avoid talking about 'half of the line' which is the language of parts of a whole. This helps children to see that fractions are numbers in their own right with a unique position on a number line.
More Lessons In This Unit
- Explain and represent how to divide 1 into different numbers of equal parts Study Guide
- Explain the relationship between numerators and denominators across equivalent fractions Study Guide
- Explain the relationship between numerators and denominators in equivalent fractions Study Guide
- Explain the relationship within families of equivalent fractions Study Guide
- Identify and describe patterns in the number system Study Guide
- Recall common fraction-decimal equivalents Study Guide
- Solve problems using fraction-decimal equivalents Study Guide
- Use knowledge of common equivalents to compare fractions and decimals Study Guide
- Use representations to describe and compare fractions Study Guide
- Use representations to describe and compare two fractions Study Guide
- Use the language of equivalent fractions correctly Study Guide
- Use the relationship between the numerator and denominator in equivalent fractions to solve problems Study Guide
- Use the relationship between the numerator and denominator to simplify fractions Study Guide
- Use understanding of equivalent fractions to solve problems Study Guide
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