New
New
Year 5

# Use representations to describe and compare two fractions in a continuous context

I can use representations to describe and compare fractions in a continuous context.

New
New
Year 5

# Use representations to describe and compare two fractions in a continuous context

I can use representations to describe and compare fractions in a continuous context.

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## Lesson details

### Key learning points

1. Number lines and scales represent fractions in a continuous context.
2. The whole has been divided into __ equal parts and the line shows __ of them.

### Common misconception

Children need to understand that fractions can also be fractions of 1 and have an exact position on a number line. There may be confusion over labelling an exact point rather than a part of the line.

Use the language of labelling a point on the line and avoid talking about 'half of the line' which is the language of parts of a whole. This helps children to see that fractions are numbers in their own right with a unique position on a number line.

### Keywords

• Continuous - Continuous means that every position on the line or scale has a value.

• Equal - Equal means that something has exactly the same amount or value.

### 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).

## Starter quiz

### 6 Questions

Q1.
Match the word with the best definition.

tells you how many parts are chosen or shaded.

Correct Answer:The denominator,tells you how many equal parts the whole as been divided into.

tells you how many equal parts the whole as been divided into.

Q2.
Which glass is about half full?
Correct Answer: An image in a quiz
Q3.
Which letter represents when $${1}\over{2}$$ would sit on this number line?
a
c
d
Q4.
Match the fractions to the statements.
Correct Answer:$${2}\over{4}$$,is equal to $${1}\over{2}$$

is equal to $${1}\over{2}$$

Correct Answer:$${5}\over{6}$$,is greater than $${1}\over{2}$$

is greater than $${1}\over{2}$$

Correct Answer:$${2}\over{5}$$,is less than $${1}\over{2}$$

is less than $${1}\over{2}$$

Q5.
Which four numbers could you use to create two fractions equivalent to $${1}\over{2}$$?
9
Q6.
Which other fractions could sit at the same place as this fraction on the number line?
Correct answer: $${2}\over{4}$$
$${5}\over{6}$$
$${2}\over{5}$$
Correct answer: $${9}\over{18}$$

## Exit quiz

### 6 Questions

Q1.
Which of these glasses of juice been labelled with the correct fraction to show how full they are?
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Q2.
Which of these glasses of juice would you say is around $${4}\over{5}$$ full?
Correct Answer: An image in a quiz
Q3.
Which of these fractions would be closest to 0 on a 0 to 1 number line?
Correct answer: $${1}\over{9}$$
$${1}\over{8}$$
$${1}\over{7}$$
Q4.
Which of these fractions would be closest to 1 on a 0 to 1 number line?
Correct answer: $${8}\over{9}$$
$${7}\over{8}$$
$${6}\over{7}$$
Q5.
Which of these fractions would sit between $${1}\over{2}$$ and 1 on a 0 to 1 number line?
Correct answer: $${3}\over{4}$$
$${3}\over{9}$$
Correct answer: $${3}\over{5}$$
$${3}\over{10}$$
Q6.
Match the fractions with the points they would sit at on the number line.
Correct Answer:a,$${1}\over{4}$$

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

Correct Answer:a,$${3}\over{12}$$

$${3}\over{12}$$

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

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

Correct Answer:b,$${9}\over{12}$$

$${9}\over{12}$$

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

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

Correct Answer:c,$${3}\over{9}$$

$${3}\over{9}$$