A representation is a way of showing an idea or concept. One concept can be be shown by multiple representations.

Find a unit fraction of a quantity using representations

Maths

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 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

Look at the image and complete. Each part is one-__________ of the whole.

Look at the image. Each part is one-__________ of the whole.

One-__________ of the whole is shaded yellow.

Which image shows $$ \frac{1}{6} $$ shaded?  

Tick the equations this bar model represents.

Starter Quiz

What is the value of each part?