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

The proportion of a number, shape or group of objects is a part of the whole.

Use the language of equivalent fractions correctly

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

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

Match the pairs of equivalent fractions you can see in the image.

Which fractions could you use to describe the shaded fraction of this bar?

Which fractions represent the shaded area of the shape?

Which fractions represent the highlighted part of the number line?

... the same difference between the numerator and denominator

Choose the best phrase to complete the sentence: Equivalent fractions represent ...

$${1}\over{4}$$ + $${2}\over{8}$$ = $${3}\over{12}$$

$${4}\over{8}$$ − $${2}\over{4}$$ = $${4}\over{8}$$

$${1}\over{4}$$ + $${2}\over{8}$$ = $${4}\over{8}$$

Which of these fractions would be closest to 0 on a 0 to 1 number line?

Which of these fractions would be closest to 1 on a 0 to 1 number line?

Which of these fractions would be closest to $${1}\over{2}$$ on a 0 to 1 number line?

Which of these fractions would sit between 0 and $${1}\over{2}$$ on a 0 to 1 number line?

Which fractions have the same value as $${1}\over{2}$$?

Order these fractions from the smallest to the largest.

Use the language of equivalent fractions correctly

Lesson outcome