# Recognise the equivalence of 2/4 and 1/2

I can recognise and explain the equivalence of one-half and two-quarters.

# Recognise the equivalence of 2/4 and 1/2

I can recognise and explain the equivalence of one-half and two-quarters.

## Lesson details

### Key learning points

- 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.

### Common misconception

Children may initially think that two quarters is larger than one-half because the numerals in the fraction are larger.

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.

### Keywords

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.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

$$ \frac{1}{2} $$ of 20 = -

10

$$ \frac{1}{2} $$ of 18 = -

9

$$ \frac{1}{2} $$ of 12 = -

6

$$ \frac{1}{2} $$ of 16 = -

8

$$ \frac{1}{2} $$ of 14 = -

7

Double 4 = 8 -

Half of 8 = 4

Double 7 = 14 -

Half of 14 = 7

Double 5 = 10 -

Half of 10 = 5

Double 10 = 20 -

Half of 20 = 10

Whole -

20

$$ \frac{1}{4} $$ -

5

$$ \frac{3}{4} $$ -

15

$$ \frac{1}{4} $$ is -

3

$$ \frac{2}{4} $$ is -

6

$$ \frac{3}{4} $$ is -

9

$$ \frac{4}{4} $$ is -

12

## Exit quiz

### 6 Questions

A -

$$ \frac{3}{4} $$

B -

$$ \frac{2}{4} $$

C -

$$ \frac{1}{4} $$

D -

$$ \frac{4}{4} $$

$$ \frac{1}{4} $$ of 12 = -

3

$$ \frac{2}{4} $$ of 12 = -

6

$$ \frac{3}{4} $$ of 12 = -

9

$$ \frac{4}{4} $$ of 12 = -

12