A unit fraction is a fraction where the numerator is 1

A non-unit fraction is a fraction where the numerator is greater than 1

A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

A numerator is the top number in a fraction. It shows how many parts we have.

Use repeated addition of a unit fraction to form 1

Maths

In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator. In the future unit pupils will identify equal parts when they do not look the same related to equivalence. They will construct a whole when given a part and the number of parts.

In the prior unit pupils explained that non-unit fractions are composed of more than one unit fraction using knowledge of unit fractions to find one whole. In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator.

Composition of non-unit fractions: addition and subtraction

$$ \frac{1}{3} $$ + $$ \frac{1}{3} $$ + $$ \frac{1}{3} $$ = $$ \frac{3}{3} $$

$$ \frac{3}{6} $$ = $$ \frac{1}{6} $$ + $$ \frac{1}{6} $$ + $$ \frac{1}{6} $$ 

$$ \frac{2}{6} $$ = $$ \frac{3}{6} $$ + $$ \frac{3}{6} $$ 

Look at the picture. Which equation below represents this non-unit fraction shown by the shaded green triangles? 

How would this whole be represented using fraction notation?

How can this whole be represented using fraction notation?

True or false? When the numerator and denominator are the same, the fraction is equivalent to 1

the fraction is equivalent to one whole. 

the fraction is equivalent to any non-unit fraction. 

Select all the possible correct ends to this statement: When the denominator and numerator are the same value, __________.

 This fraction is equivalent to one whole. 

This fraction is equivalent to $$ \frac{4}{4} $$ 

This fraction is equivalent to five one-fifths

Tick the statements that are true about the fraction $$ \frac{5}{5} $$

 The number of equal parts that have been shaded or selected. 

The number of equal parts the whole has been divided into.

Which of these definitions describes a denominator?

Which of these definitions describes a numerator?

What unit fraction is represented here by the shaded part?

What non-unit fraction is represented by the shaded parts here?

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

Use repeated addition of a unit fraction to form 1

Lesson outcome

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