Numbers are equivalent if they have exactly the same value.

Recall common fraction-decimal equivalents

Maths

Use representations to describe and compare two fractions

Use representations to describe and compare 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

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

$${1}\over{3}$$ and $${2}\over{3}$$ are harder to convert to decimals because ...

Match the fractions to their decimal equivalents.

What decimal is equivalent to $${2}\over{5}$$?

What decimal is approximately equivalent to $${2}\over{3}$$?

Order the fractions and decimals from the largest to the smallest.

What fraction and decimal of the hundred square is shaded?

Recall common fraction-decimal equivalents

Lesson outcome