New
New
Year 2

Find one-third or one-quarter of a number

I can find one-third or one-quarter of a number.

New
New
Year 2

Find one-third or one-quarter of a number

I can find one-third or one-quarter of a number.

Lesson details

Key learning points

  1. To find a third of a number, you divide the whole into 3 equal parts.
  2. To find a quarter of a number, you divide the whole into 4 equal parts.
  3. It is helpful to use a bar model to help you find one-third or one-quarter of a number.

Common misconception

Children may confuse finding a quarter of a number with finding 4 of the objects, or finding a third of a number with finding 3 of the objects.

Use the stem sentence 'the whole has been divided into ___ equal parts' and draw a bar model to represent this before children attempt to find a quarter or a third of a number.

Keywords

  • Third - 1 of 3 equal parts of a whole.

  • Quarter - 1 of 4 equal parts of a whole.

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).

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6 Questions

Q1.
Match each part to create whole sentences starting with, 'When the whole has been divided into ...'
Correct Answer:four equal parts,,each part is one-quarter.

each part is one-quarter.

Correct Answer:two equal parts, ,each part is one-half.

each part is one-half.

Correct Answer:three equal parts,,each part is one-third.

each part is one-third.

Q2.
Match the equation to the correct answer.
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

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

10

Q3.
Match the equations that are the same.
Correct Answer:$$ \frac{1}{2} $$ of 10 = 5,5 = $$ \frac{1}{2} $$ of 10

5 = $$ \frac{1}{2} $$ of 10

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

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

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

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

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

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

Q4.
__________ of the cakes have a cherry.
An image in a quiz
one-third
Correct answer: one-half
one quarter
Q5.
Which equations are true for this representation?
An image in a quiz
Correct answer: $$ \frac{1}{2} $$ of 18 = 9
Correct answer: 9 = $$ \frac{1}{2} $$ of 18
$$ \frac{1}{2} $$ of 9 = 18
18 = $$ \frac{1}{2} $$ of 9
Q6.
Aisha has 14 more pages of her book to read. She will read half the pages today. How many pages will she read today? pages.
Correct Answer: 7

6 Questions

Q1.
Correctly match the start and the end of the sentences.
Correct Answer:To find one-third of a number,,you divide the whole into 3 equal parts.

you divide the whole into 3 equal parts.

Correct Answer:To find one-quarter of a number, ,you divide the whole into 4 equal parts.

you divide the whole into 4 equal parts.

Q2.
Which equations represent this model?
An image in a quiz
Correct answer: $$ \frac{1}{3} $$ of 9 = 3
$$ \frac{1}{2} $$ of 9 = 3
Correct answer: 3 = $$ \frac{1}{3} $$ of 9
Q3.
Look at this model. What is $$ \frac{1}{4} $$ of 12?
An image in a quiz
Correct Answer: 3
Q4.
What does this model show?
An image in a quiz
$$ \frac{1}{3} $$ of 20 = 5
$$ \frac{1}{2} $$ of 20 = 5
Correct answer: $$ \frac{1}{4} $$ of 20 = 5
Q5.
Which model shows $$ \frac{1}{3} $$ of 12?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q6.
True or false. Lucas and Alex have the same amount of money.
An image in a quiz
Correct answer: True
False