Year 5 - Maths
Explain the relationship within families of equivalent fractions
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 explain the relationship within families of equivalent fractions.
Key Notes
- If the multiplicative relationship between the numerator and denominator is the same, the fractions will be equivalent.
- In equivalent fractions the numerators will share a common factor and the denominators will share a common factor.
- In equivalent fractions, the numerators and denominators have been scaled up or down by the same factor.
Vocabulary To Learn
- Numerator: The numerator is the top number in a fraction and shows how many parts we have.
- Denominator: The denominator is the bottom number in a fraction and shows how many equal parts the whole has been divided into.
- Equivalent fraction: Equivalent fractions are fractions which have the same value, even though they may look different.
- Scale up and down: Scaling is when a quantity is made a number of times the size. To scale up is to multiply by a factor. To scale down is to multiply by a fraction or to divide.
Common Mistakes To Avoid
- That equivalent fractions do not have the same value. Pupils can create them but do not always understand that they are equal in value.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If the multiplicative relationship between the numerator and denominator is the same, the fractions will be equivalent. In equivalent fractions the numerators will share a common factor and the denominators will share a common factor.
2. Use this key word in a maths sentence and explain it clearly. 'Numerator'
The numerator is the top number in a fraction and shows how many parts we have. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That equivalent fractions do not have the same value. Pupils can create them but do not always understand that they are equal in value. Correction: Explore representations which show the same whole divided in different ways to show the same proportion of the whole. Represent equivalent fractions at the same point 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
- 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 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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