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Year 5

Find a unit fraction when the size of a non-unit fraction is known

I can find a unit fraction when the size of a non-unit fraction is known

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New

Year 5

Find a unit fraction when the size of a non-unit fraction is known

I can find a unit fraction when the size of a non-unit fraction is known

Download all resources

Share activities with pupils

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Lesson details

Key learning points

This is __ of the whole so one part of the whole is __
There will be __ of these parts in the whole

Keywords

Represent - To represent something means to show something in a different way. The same thing can be shown using multiple representations.
Unit fraction - A unit fraction is a fraction that has a numerator of one.
Non-unit fraction - A non-unit fraction is a fraction that has a numerator greater than one.

Common misconception

Pupils think that they have to divide the shape by the denominator to create the unit fraction.

This is an example of where a lack of conceptual understanding can lead to procedural errors. Ensure pupils represent the maths using equal parts and label each of these parts as the fractional value they have.

Ensure pupils get to see how non-unit fractions are represented in a variety of examples including cardinal, area and linear contexts, so they can become familiar with identifying unit fractions within these.

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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Starter quiz

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6 Questions

Q1.

A non-unit fraction is a fraction that has a numerator that is __________.

Correct answer: greater than one

less than one

equal to the denominator

Q2.

Tick the unit fractions.

Correct answer: $$ \frac{1}{4} $$

$$ \frac{2}{5} $$

$$ \frac{7}{8} $$

Correct answer: $$ \frac{1}{10} $$

Q3.

Look at the image. If this is the whole, what fraction of the whole is each segment?

$$ \frac{1}{4} $$

$$ \frac{1}{5} $$

Correct answer: $$ \frac{1}{8} $$

$$ \frac{1}{10} $$

Q4.

Tick the descriptions that match this image.

Correct answer: 3 tenths

Correct answer: 3 lots of one-tenth

Correct answer: one-tenth, 3 times

one-third

Q5.

The image represents the whole. How many £1 coins would be equivalent to $$ \frac{4}{5} $$ of the whole?

Correct Answer: 4, four, four coins

Q6.

These three circles make up one-quarter of the whole. How many circles are needed to make the whole?

Correct Answer: 12

Exit quiz

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6 Questions

Q1.

The image represents $$ \frac{4}{8} $$ of the pizza. Tick the image that shows $$ \frac{1}{8} $$

Correct Answer: An image in a quiz

Q2.

The image represents $$ \frac{5}{6} $$ of the whole. Tick the image that represents $$ \frac{1}{6} $$

Correct Answer: An image in a quiz

Q3.

The part of the image shown by the arrow represents $$ \frac{4}{10} $$ How many intervals would represent $$ \frac{1}{10} $$

Correct answer: 1

Q4.

The shaded part of the image represents $$ \frac{1}{5} $$ Tick the images that represent $$ \frac{3}{5} $$

Correct Answer: An image in a quiz

Q5.

Izzy has saved some money. The image shows $$ \frac{5}{10} $$ of what she has saved. How much would $$ \frac{1}{10} $$ of her saved money be equal to? £

Correct Answer: 2, 2 pounds, £2

Q6.

The arrow on the number line represents $$ \frac{3}{9} $$ How many intervals would be equal to $$ \frac{1}{9} $$?

Correct answer: 3