To represent something means to show something in a different way. The same thing can be shown using multiple representations.

A unit fraction is a fraction that has a numerator of one.

A non-unit fraction is a fraction that has a numerator greater than one.

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

Maths

Find a unit fraction of a quantity using representations

Explain how finding a fraction of a quantity relates to multiplying by a unit fraction

Explain how dividing by a whole number relates to multiplying by a unit fraction

Use knowledge of multiplying a whole number by a unit fraction to solve problems

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

Multiply a whole number by a proper fraction

Explain when a calculation represents scaling down and when it represents repeated addition

Find the whole when the size of a unit fraction is known

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

In this unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes. In the future unit pupils will use representations to describe and compare two fractions. They will  explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals.

In the prior unit pupils multiplied an improper fraction and a mixed number by a whole number. In this unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes.

In this unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes.

Find unit and non-unit fractions of whole numbers exploring parts and wholes

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

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

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

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

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? £{{ }}

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

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

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

Tick the descriptions that match this image.

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

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

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

Lesson outcome