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.

Model working from left to right when sharing objects or drawing marks, as working forwards and backwards often results in unequal groups. Use your knowledge of the children to decide if it may be appropriate to include other more efficient strategies, such as find quarter from half and half again.
Teacher tip

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