New
New
Year 5

# Use the language of equivalent fractions correctly

I can use the language of equivalent fractions correctly.

New
New
Year 5

# Use the language of equivalent fractions correctly

I can use the language of equivalent fractions correctly.

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## Lesson details

### Key learning points

1. Equivalent fractions have different numerators and denominators but represent the same value.
2. Equivalent fractions have the same position on a number line.
3. Equivalent fractions represent the same quantity or area.

### Common misconception

Children learn how to spot and create equivalent fractions without realising that they have the same value and have the same position on a number line. The understanding of equivalence is important.

Use the = symbol to record fractions with the same value and the language 'is equal to'. Make use of manipulatives and representations to model equivalence and highlight the equality.

### Keywords

• Equivalent fractions - Equivalent fractions are fractions which have the same value, even though they may look different.

• Proportion - The proportion of a number, shape or group of objects is a part of the 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).

## Starter quiz

### 6 Questions

Q1.
Which of these fractions would be closest to 0 on a 0 to 1 number line?
$${2}\over{10}$$
Correct answer: $${2}\over{12}$$
$${2}\over{8}$$
$${2}\over{9}$$
Q2.
Which of these fractions would be closest to 1 on a 0 to 1 number line?
$${8}\over{9}$$
$${8}\over{6}$$
$${8}\over{7}$$
Correct answer: $${8}\over{10}$$
Q3.
Which of these fractions would be closest to $${1}\over{2}$$ on a 0 to 1 number line?
$${3}\over{8}$$
$${4}\over{10}$$
$${5}\over{12}$$
Correct answer: $${6}\over{14}$$
Q4.
Which of these fractions would sit between 0 and $${1}\over{2}$$ on a 0 to 1 number line?
Correct answer: $${4}\over{10}$$
$${4}\over{6}$$
Correct answer: $${4}\over{9}$$
Correct answer: $${4}\over{12}$$
$${4}\over{7}$$
Q5.
Which fractions have the same value as $${1}\over{2}$$?
$${1}\over{3}$$
Correct answer: $${30}\over{60}$$
$${4}\over{2}$$
Correct answer: $${4}\over{8}$$
$${3}\over{60}$$
Q6.
Order these fractions from the smallest to the largest.
1 - $${1}\over{4}$$
2 - $${1}\over{3}$$
3 - $${3}\over{6}$$
4 - $${3}\over{5}$$
5 - $${3}\over{4}$$

## Exit quiz

### 6 Questions

Q1.
Match the pairs of equivalent fractions you can see in the image.
Correct Answer:$${1}\over{2}$$,$${4}\over{8}$$

$${4}\over{8}$$

Correct Answer:$${5}\over{10}$$,$${15}\over{30}$$

$${15}\over{30}$$

Correct Answer:$${4}\over{8}$$,$${15}\over{30}$$

$${15}\over{30}$$

Correct Answer:$${15}\over{30}$$,$${1}\over{2}$$

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

Q2.
Which fractions could you use to describe the shaded fraction of this bar?
$${1}\over{3}$$
Correct answer: $${1}\over{4}$$
$${2}\over{4}$$
Correct answer: $${2}\over{8}$$
Correct answer: $${10}\over{40}$$
Q3.
Which fractions represent the shaded area of the shape?
$${2}\over{5}$$
Correct answer: $${3}\over{5}$$
Correct answer: $${12}\over{20}$$
Correct answer: $${6}\over{10}$$
Q4.
Which fractions represent the highlighted part of the number line?
Correct answer: $${1}\over{2}$$
$${4}\over{10}$$
Correct answer: $${4}\over{8}$$
Correct answer: $${2}\over{4}$$
Q5.
Choose the best phrase to complete the sentence: Equivalent fractions represent ...
Correct answer: ... the same proportion of the whole.
... the same numerator.
... the same denominator.
... the same difference between the numerator and denominator
Q6.
Which of these equations are correct?
$${1}\over{4}$$ + $${2}\over{8}$$ = $${3}\over{12}$$
Correct answer: $${1}\over{4}$$ − $${2}\over{8}$$ = 0
$${4}\over{8}$$ − $${2}\over{4}$$ = $${4}\over{8}$$
Correct answer: $${1}\over{4}$$ + $${2}\over{8}$$ = $${4}\over{8}$$