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Year 2

Recognise the equivalence of 2/4 and 1/2

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

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New
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Year 2

Recognise the equivalence of 2/4 and 1/2

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

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Lesson details

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.


To help you plan your year 2 maths lesson on: Recognise the equivalence of 2/4 and 1/2, download all teaching resources for free and adapt to suit your pupils' needs...

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.
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Lesson video

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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
tick

10

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

9

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

6

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

8

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

7

Q3.
Match the sentences that link half and double these numbers.
Correct Answer:Double 4 = 8 ,Half of 8 = 4
tick

Half of 8 = 4

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

Half of 14 = 7

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

Half of 10 = 5

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

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
tick

20

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

5

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

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
tick

3

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

6

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

9

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

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,$$ \frac{3}{4} $$
tick

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

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

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

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

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

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

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

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
tick

3

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

6

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

9

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

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