Year 2 - Maths
Recognise the equivalence of 2/4 and 1/2
Fractions: identify equal parts and be familiar with halves, thirds and quarters
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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 identify whether something has or has not been split into equal parts. They will name fractions one-half one-quarter and one-third in relation to a fraction of a length shape or set of objects.
Lesson Summary
You will learn to recognise and explain the equivalence of one-half and two-quarters.
Key Notes
- When a whole is divided in half, there are 2 equal parts.
- When a whole is divided into quarters, there are 4 equal parts.
- Two-quarters and one-half are equivalent because they describe the same amount when the wholes are the same size.
Vocabulary To Learn
- One-half: 1 of 2 equal parts of a whole.
- Two-quarters: 2 of 4 equal parts of a whole.
- Equivalent: When two or more things have the same value.
Common Mistakes To Avoid
- Children may initially think that two quarters is larger than one-half because the numerals in the fraction are larger.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When a whole is divided in half, there are 2 equal parts. When a whole is divided into quarters, there are 4 equal parts.
2. Use this key word in a maths sentence and explain it clearly. 'One-half'
1 of 2 equal parts of a whole. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children may initially think that two quarters is larger than one-half because the numerals in the fraction are larger. Correction: Try to avoid introducing the fractions in numeral form until children are familiar with recognising two-quarters in different representations such as shapes and small sets. Support understanding with stem sentences as modelled in this lesson.
More Lessons In This Unit
- Equal or unequal parts Study Guide
- Find one-half of a number Study Guide
- Find one-third or one-quarter of a number Study Guide
- Find three-quarters of an object, shape, set of objects or quantity Study Guide
- Read, write and understand fraction notation Study Guide
- Recognise and name the fraction 'one half' Study Guide
- Recognise and name the fraction 'one quarter' Study Guide
- Recognise and name the fraction 'one-third' Study Guide
- Relate finding half of a number to halving and doubling Study Guide
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