New
New
Year 5

Use representations to describe and compare fractions

I can use representations to describe and compare fractions.

New
New
Year 5

Use representations to describe and compare fractions

I can use representations to describe and compare fractions.

Lesson details

Key learning points

  1. When you compare fractions, the whole must be the same.
  2. Use representations of sets of objects to divide them into equal parts.
  3. Count how many objects are in the number of parts needed.
  4. The whole has been divided into __ equal parts and you have __ of them.

Common misconception

Children may still be building understanding that the same fraction can be represented and recorded in different ways. They may still think that the larger the denominator, the larger the fraction.

Make use of the stem sentences to support understanding of how the recording of the fraction relates to the images and contexts used. Model the use of the keywords numerator and denominator and encourage children to use them in explanations.

Keywords

  • Divided - When something is divided, it is split into equal parts or groups.

  • Equal parts - Equal parts can be combined to make a whole.

  • Numerator - The numerator is the top number in a fraction and shows how many equal parts we have.

  • Denominator - The denominator is the bottom number in a fraction and shows how many equal parts the whole has been divided into.

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.
What is half of 12? Half of 12 is equal to
Correct Answer: 6, six
Q2.
Jun ate half the cherries. There were 8 left. How many cherries were there to start with?
4
6
10
Correct answer: 16
Q3.
Match the doubles and halves.
Correct Answer:26,13

13

Correct Answer:28,14

14

Correct Answer:30,15

15

Correct Answer:32,16

16

Correct Answer:34,17

17

Correct Answer:36,18

18

Q4.
$${1}\over{3}$$ of 18 is equal to
Correct Answer: 6, six
Q5.
Sofia had some cherries. She gave $${1}\over{3}$$ to Jun. She gave 9 cherries to Jun. How many did she have to start with?
6
9
18
Correct answer: 27
Q6.
Match the thirds to the wholes.
Correct Answer:$${1}\over{3}$$ of 30,10

10

Correct Answer:$${1}\over{3}$$ of 33,11

11

Correct Answer:$${1}\over{3}$$ of 36,12

12

Correct Answer:$${1}\over{3}$$ of 39,13

13

Correct Answer:$${1}\over{3}$$ of 42,14

14

Correct Answer:$${1}\over{3}$$ of 45,15

15

6 Questions

Q1.
Which letter is labelling the numerator of this fraction?
An image in a quiz
Correct answer: a
b
Q2.
Which letter is labelling the denominator of this fraction?
An image in a quiz
Correct answer: a
b
Q3.
Which of these images shows $${1}\over{2}$$ ?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q4.
Choose the best way to complete this sentence. When a fraction is equal to a half ...
the denominator is half the value of the numerator.
the denominator is always 2
Correct answer: the numerator is half the value of the denominator.
Correct answer: the denominator is double the value of the numerator.
the numerator and denominator are the same.
Q5.
Which of these fractions is equal to $${1}\over{2}$$? Use Sofia's generalisation to help you decide.
An image in a quiz
$${3}\over{7}$$
Correct answer: $${3}\over{6}$$
$${3}\over{5}$$
$${2}\over{5}$$
Q6.
Which number can go in the squares to create two fractions equal to $${1}\over{2}$$?
An image in a quiz
2
Correct answer: 4
6
8