Year 5 - Maths
Use the language of equivalent fractions correctly
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 the language of equivalent fractions correctly.
Key Notes
- Equivalent fractions have different numerators and denominators but represent the same value.
- Equivalent fractions have the same position on a number line.
- Equivalent fractions represent the same quantity or area.
Vocabulary To Learn
- Equivalent fractions: Equivalent fractions are fractions which have the same value, even though they may look different.
- Proportion: The proportion of a number, shape or group of objects is a part of the whole.
Common Mistakes To Avoid
- Children learn how to spot and create equivalent fractions without realising that they have the same value and have the same position on a number line. The understanding of equivalence is important.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Equivalent fractions have different numerators and denominators but represent the same value. Equivalent fractions have the same position on a number line.
2. Use this key word in a maths sentence and explain it clearly. 'Equivalent fractions'
Equivalent fractions are fractions which have the same value, even though they may look different. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children learn how to spot and create equivalent fractions without realising that they have the same value and have the same position on a number line. The understanding of equivalence is important. Correction: Use the = symbol to record fractions with the same value and the language 'is equal to'. Make use of manipulatives and representations to model equivalence and highlight the equality.
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 representations to describe and compare two fractions in a continuous context 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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