Recognise the equivalence of 2/4 and 1/2 | Maths | Quizalize & Oak National Academy

Starter quiz

When the whole has been divided into ______ equal parts, each part is one-quarter.

'4' ✓
Match to form the equation.

$\frac{1}{2}$ 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 ✓
Match the sentences that link half and double these numbers.

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 ✓
Look at the model. Match the whole and its parts with the number that represents them.

Whole

⇔

20 ✓

$\frac{1}{4}$

⇔

5 ✓

$\frac{3}{4}$

⇔

15 ✓
Match to form facts that can be shown by this model.

$\frac{1}{4}$ is

⇔

3 ✓

$\frac{2}{4}$ is

⇔

6 ✓

$\frac{3}{4}$ is

⇔

9 ✓

$\frac{4}{4}$ is

⇔

12 ✓
$What is <Math> \frac{3}{4} </Math> of 20 p? <span class="blank">______</span> p$

What is $\frac{3}{4}$ of 20 p? ______ p

'15' ✓

Exit quiz

$Match the image to the fraction that represents it.$

Match the image to the fraction that represents it.

A

⇔

$\frac{3}{4}$ ✓

B

⇔

$\frac{2}{4}$ ✓

C

⇔

$\frac{1}{4}$ ✓

D

⇔

$\frac{4}{4}$ ✓
12 sweets have been divided into 4 equal parts. Match the number of sweets to the correct number of quarters.

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

⇔

3 ✓

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

⇔

6 ✓

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

⇔

9 ✓

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

⇔

12 ✓
True or false. One-half and two-quarters are equivalent.

True ✓
False
Which shape does not show $\frac{2}{4}$ ?

A

B

C ✓
Which equations does this model represent?

$\frac{2}{4}$ of 16 = 8 ✓

$\frac{1}{4}$ of 16 = 8

$\frac{1}{2}$ of 16 = 8 ✓
$<Math> \frac{2}{4} </Math> of 20 = <span class="blank">______</span>$

$\frac{2}{4}$ of 20 = ______

'10' ✓

Worksheet

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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.