When something is divided, it is split into equal parts or groups.

Equal parts can be combined to make a whole.

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

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

Use representations to describe and compare fractions

Maths

Use representations to describe and compare two fractions

Use representations to describe and compare two fractions in a continuous context

Use the language of equivalent fractions correctly

Explain the relationship between numerators and denominators in equivalent fractions

Use the relationship between the numerator and denominator in equivalent fractions to solve problems

Explain the relationship between numerators and denominators across equivalent fractions

Explain the relationship within families of equivalent fractions

Use the relationship between the numerator and denominator to simplify fractions

Use understanding of equivalent fractions to solve problems

Explain and represent how to divide 1 into different numbers of equal parts

Identify and describe patterns in the number system

Use knowledge of common equivalents to compare fractions and decimals

Recall common fraction-decimal equivalents

Solve problems using fraction-decimal equivalents

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.

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 letter is labelling the numerator of this fraction?

Which letter is labelling the denominator of this fraction?

Which of these images shows $${1}\over{2}$$ ?

the denominator is half the value of the numerator.

the numerator is half the value of the denominator.

the denominator is double the value of the numerator.

the numerator and denominator are the same.

Choose the best way to complete this sentence. When a fraction is equal to a half ...

Which of these fractions is equal to $${1}\over{2}$$? Use Sofia's generalisation to help you decide.

Which number can go in the squares to create two fractions equal to $${1}\over{2}$$?

What is half of 12? Half of 12 is equal to {{ }}

Jun ate half the cherries. There were 8 left. How many cherries were there to start with?

Sofia had some cherries. She gave $${1}\over{3}$$ to Jun. She gave 9 cherries to Jun. How many did she have to start with?

Use representations to describe and compare fractions

Lesson outcome