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Year 5

Use representations to describe and compare two fractions

I can use representations to describe and compare two fractions.

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New
New
Year 5

Use representations to describe and compare two fractions

I can use representations to describe and compare two fractions.

Download all resources
Share activities with pupils
Share function coming soon...

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Lesson details

Key learning points

  1. When you compare two 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 think that fractions that look different cannot represent the same part of a whole. They may also still think that a bigger denominator means a bigger fraction.

Give plenty of opportunity to use manipulatives and representations to show sets and groups of objects divided in different ways so that they see practically that the same part of a whole can be described and represented by different fractions.

Keywords

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

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

Use cubes or counters in the lesson to allow children to engage with the activities practically to build their understanding of different fractions labelling the same part of a whole and sitting at the same position on a number line.
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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Worksheet

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Starter quiz

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6 Questions

Q1.
Which arrow shows $${1}\over{4}$$ on this number line?
a
Correct answer: b
c
Q2.
Which fraction best labels where the arrow points on this number line?
Correct answer: $${1}\over{3}$$
$${1}\over{2}$$
$${1}\over{5}$$
Q3.
Which of these fractions could go between the two marked on the number line?
$${1}\over{5}$$
$${1}\over{6}$$
Correct answer: $${1}\over{3}$$
$${1}\over{10}$$
Q4.
$${1}\over{4}$$ of 12 is equal to
Correct Answer: 3, three
Q5.
$${1}\over{3}$$ of 12 is equal to
Correct Answer: 4, four
Q6.
Match the letters on the number line with the fractions that would sit in that position.
Correct Answer:a,$${1}\over{4}$$

$${1}\over{4}$$

Correct Answer:b,$${1}\over{3}$$

$${1}\over{3}$$

Correct Answer:c,$${1}\over{2}$$

$${1}\over{2}$$

Correct Answer:d,$${3}\over{4}$$

$${3}\over{4}$$

Exit quiz

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6 Questions

Q1.
Which image shows that $${1}\over{2}$$ = $${4}\over{8}$$
Correct Answer:
Q2.
Which fractions are represented by this image?
$${1}\over{2}$$
$${1}\over{3}$$
Correct answer: $${1}\over{4}$$
Correct answer: $${2}\over{8}$$
Q3.
How would you describe the position of $${2}\over{12}$$ on this number line?
Close to 1 whole
Correct answer: Close to zero
Correct answer: Between 0 and $${1}\over{2}$$
Close to $${1}\over{2}$$
Q4.
Which letter best represents the position of $${8}\over{12}$$ on this number line?
a
b
Correct answer: c
d
Q5.
Which images show that $${1}\over{4}$$ of the counters are black?
Correct Answer:
Correct Answer:
Q6.
Which of these fractions could go at point a on the number line?
Correct answer: $${2}\over{8}$$
$${1}\over{3}$$
Correct answer: $${1}\over{4}$$
$${2}\over{4}$$