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Year 5

Find a non-unit fraction of a quantity using mental and written calculation strategies

I can use mental and written calculation strategies to find a non-unit fraction of a quantity.

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New
New
Year 5

Find a non-unit fraction of a quantity using mental and written calculation strategies

I can use mental and written calculation strategies to find a non-unit fraction of a quantity.

Download all resources
Share activities with pupils

Link copied to clipboard

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Lesson details

Key learning points

  1. The whole has been divided into __ equal parts and there are __ in each part.
  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.

Keywords

  • Denominator - The denominator is the bottom number of a fraction. It tells you how many equal parts the whole has been divided into.

  • Numerator - The numerator is the top number of a fraction. It tells you how many parts we have, or are needed.

Common misconception

Pupils procedurally divide by the denominator and multiply by the numerator without an understanding for why they do this.

Take time to ensure pupils link how the fraction relates to the bar model. Using the sentence stem 'The whole has been divided into ___ equal parts, and we need ___ of them,' can help to make sense of the fraction in relation to the bar model.


To help you plan your year 5 maths lesson on: Find a non-unit fraction of a quantity using mental and written calculation strategies, download all teaching resources for free and adapt to suit your pupils' needs...

Work towards the generalisation that the fraction tells us exactly what to do. Try to encourage pupils to see this for themselves that we can use the denominator to divide the whole into the correct number of equal parts and then use the numerator to identify how many parts are required.
Teacher tip

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
The whole has been divided into how many equal parts?
An image in a quiz
Correct Answer: 3, three
Q2.
Tick the bar model that represents this equation 35 × $$ \frac{1}{7} $$ = 5
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Calculate: 150 ÷ 5 =
An image in a quiz
Correct Answer: 30
Q4.
Solve the equation: 650 × $$ \frac{1}{5} $$ =
Correct Answer: 130
Q5.
Tick the equations that represent this problem. There are 32 children in the class. One-eighth of the children had packed lunch for their lunch.
32 × 8 =
8 × 32 =
Correct answer: 32 × $$ \frac{1}{8} $$ =
Correct answer: 32 ÷ 8 =
Q6.
There are 220 grams of chopped tomatoes in a tin. A recipe requires one quarter of a tin of chopped tomatoes. How many grams of chopped tomatoes is this? g
Correct Answer: 55, fifty five, 55g

Exit quiz

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6 Questions

Q1.
Tick the equations that represent this image.
An image in a quiz
12 × 3 = 36
Correct answer: $$ \frac{3}{4} $$ × 12 = 9
Correct answer: 12 × $$ \frac{3}{4} $$ = 9
Correct answer: 12 ÷ 4 = 3
Q2.
Solve $$ \frac{5}{8} $$ × 16 =
Correct Answer: 10, ten
Q3.
Solve $$ \frac{4}{6} $$ × 54 =
Correct Answer: 36, thirty six
Q4.
To find a fraction of an amount, you can:
Divide the whole by the numerator and multiply that by the denominator.
Multiply the whole by the denominator and then divide that by the numerator.
Correct answer: Divide the whole by the denominator and then multiply that by the numerator.
Q5.
The whole is 909 Find the value of five ninths of the whole.
Correct Answer: 505
Q6.
There are 36 bags of sweets to be handed out after school to the class for Laura’s birthday. Five sixths of the bags are handed out. How many bags does she have left?
Correct Answer: 6, six, 6 bags