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

The denominator is the number on the bottom of a fraction. It tells us how many parts the whole has been divided into.

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

A unit fraction is a fraction with a numerator of {{ }}

If this is the whole, what fraction of the whole is each segment?

This heart is one-quarter of the whole. How many parts make up the whole?

If this blue circle is one-eighth of the whole, which images could represent the whole?

These two triangles make up one-fifth of the whole. How many triangles are needed to make the whole?

If this 50 p coin is one-tenth of the whole, what is the value of the whole?

Which image shows one-fifth of the whole?

What is the value of each part on this number line?

Calculate and find the missing value. $$ \frac{1}{9} $$ × {{ }} = 1

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

Lesson outcome