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Recognise the equivalence of 2/4 and 1/2

Lesson details

Learning outcome

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

Key learning points

  1. When a whole is divided in half, there are 2 equal parts.
  2. When a whole is divided into quarters, there are 4 equal parts.
  3. Two-quarters and one-half are equivalent because they describe the same amount when the wholes are the same size.

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.

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.

Teacher tip

Allow children time to explore equivalence by finding one-half and two-quarters of strips of paper, small sets of objects and different shapes. Give them opportunities to handle and experience these for themselves, rather than watching a demonstration or seeing an image on the screen.

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
except where otherwise stated. See Oak's terms & conditions
(Collection 2).

Lesson video

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Prior knowledge starter quiz

6 Questions

Q1.
When the whole has been divided into equal parts, each part is one-quarter.

Correct Answer: 4

Q2.
Match to form the equation.

Correct Answer:$$ \frac{1}{2} $$ of 20 =,10

10

Correct Answer:$$ \frac{1}{2} $$ of 18 =,9

9

Correct Answer:$$ \frac{1}{2} $$ of 12 =,6

6

Correct Answer:$$ \frac{1}{2} $$ of 16 =,8

8

Correct Answer:$$ \frac{1}{2} $$ of 14 =,7

7

Q3.
Match the sentences that link half and double these numbers.

Correct Answer:Double 4 = 8 ,Half of 8 = 4

Half of 8 = 4

Correct Answer:Double 7 = 14,Half of 14 = 7

Half of 14 = 7

Correct Answer:Double 5 = 10,Half of 10 = 5

Half of 10 = 5

Correct Answer:Double 10 = 20,Half of 20 = 10

Half of 20 = 10

Q4.
Look at the model. Match the whole and its parts with the number that represents them.

An image in a quiz
Correct Answer:Whole,20

20

Correct Answer:$$ \frac{1}{4} $$ ,5

5

Correct Answer:$$ \frac{3}{4} $$,15

15

Q5.
Match to form facts that can be shown by this model.

An image in a quiz
Correct Answer:$$ \frac{1}{4} $$ is,3

3

Correct Answer:$$ \frac{2}{4} $$ is,6

6

Correct Answer:$$ \frac{3}{4} $$ is,9

9

Correct Answer:$$ \frac{4}{4} $$ is,12

12

Q6.
What is $$ \frac{3}{4} $$ of 20 p? p

An image in a quiz
Correct Answer: 15, 15 p

6 Questions

Q1.
Match the image to the fraction that represents it.

An image in a quiz
Correct Answer:A,$$ \frac{3}{4} $$

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

Correct Answer:B,$$ \frac{2}{4} $$

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

Correct Answer:C,$$ \frac{1}{4} $$

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

Correct Answer:D,$$ \frac{4}{4} $$

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

Q2.
12 sweets have been divided into 4 equal parts. Match the number of sweets to the correct number of quarters.

An image in a quiz
Correct Answer:$$ \frac{1}{4} $$ of 12 =,3

3

Correct Answer:$$ \frac{2}{4} $$ of 12 =,6

6

Correct Answer:$$ \frac{3}{4} $$ of 12 =,9

9

Correct Answer:$$ \frac{4}{4} $$ of 12 =,12

12

Q3.
True or false. One-half and two-quarters are equivalent.

An image in a quiz
Correct answer: True
False

Q4.
Which shape does not show $$ \frac{2}{4} $$?

A
B
Correct answer: C

Q5.
Which equations does this model represent?

An image in a quiz
Correct answer: $$ \frac{2}{4} $$ of 16 = 8
$$ \frac{1}{4} $$ of 16 = 8
Correct answer: $$ \frac{1}{2} $$ of 16 = 8

Q6.
$$ \frac{2}{4} $$ of 20 =

An image in a quiz
Correct Answer: 10

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