Year 5 - Maths
Explain and represent how to divide 1 into different numbers of equal parts
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 divide 1 into different numbers of equal parts.
Key Notes
- A point on a number line or scale between 0 and 1 can be represented by equivalent fractions or decimals.
- Tenths and hundredths can be represented as fractions and decimals.
- Fractions and decimals at the same point on a line or scale are equivalent.
Vocabulary To Learn
- Equal parts: When we divide, we split an object, number or quantity into equal parts.
- Divide: Each equal part has the same value as the others in the whole.
- Equivalent: Numbers are equivalent if they have exactly the same value.
Common Mistakes To Avoid
- Thinking that the fraction and decimal use the same digits so that one fifth is 1.5 as a decimal. Some may not see that equivalent fractions and decimals represent the same value.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A point on a number line or scale between 0 and 1 can be represented by equivalent fractions or decimals. Tenths and hundredths can be represented as fractions and decimals.
2. Use this key word in a maths sentence and explain it clearly. 'Equal parts'
When we divide, we split an object, number or quantity into equal parts. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Thinking that the fraction and decimal use the same digits so that one fifth is 1.5 as a decimal. Some may not see that equivalent fractions and decimals represent the same value. Correction: Use representations that allow pupils to see fractions as parts of 10 and 100 to secure the understanding of their equivalent decimal values. Revisit equivalent fractions to model how to convert fractions to their decimal equivalents and vice versa.
More Lessons In This Unit
- 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 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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