The numerator is the top number in a fraction and shows how many parts we have.

The denominator is the bottom number in a fraction and shows how many equal parts the whole has been divided into.

Equivalent fractions are fractions which have the same value, even though they may look different.

Scaling is when a quantity is made a number of times the size. To scale up is to multiply by a factor. To scale down is to multiply by a fraction or to divide.

Explain the relationship within families of equivalent fractions

Maths

In this 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 future unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems. 

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

Comparing fractions using equivalence and decimals

Which fractions can describe the shaded area of this shape?

Which fractions can be used to label point a on the number line?

Which other fractions could be used to label point a on the number line.

Which fraction is equivalent to $${4}\over{5}$$ ?

Which fractions are less than $${4}\over{5}$$?

Which fractions are greater than $${3}\over{5}$$?

Which two equivalent fractions could label point a on the number line?

Which fractions in the list are equivalent to $${1}\over{2}$$?

What is the missing scale factor used to create this pair of equivalent fractions?

What is the missing denominator in this pair of equivalent fractions?

What is the missing numerator in this pair of equivalent fractions?

This lesson will be removed by end of Summer Term 2025.

Explain the relationship within families of equivalent fractions

Lesson outcome

This lesson will be removed by end of Summer Term 2025.