Substitute means to put in place of another and it can be used to replace a fraction with another fraction of equal value.

An expression contains one or more values, where each value is separated by an operator.

Substitute a fraction representing a whole to solve subtraction problems

Maths

Use repeated addition of a unit fraction to form a non-unit fraction

Use repeated addition of a unit fraction to form 1

Add fractions with the same denominator

Add on fractions with the same denominator

Add fractions with the same denominator and generalise the rule

Subtract fractions with the same denominator

Add and subtract fractions with the same denominator in a range of contexts

Explain that addition and subtraction of fractions are inverse operations

Subtract fractions from a whole by converting the whole to a fraction

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.

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

When the denominator and the numerator are the same, the fraction is __________  one whole.

Which of these fractions is not equivalent to one whole and so are less than one whole?

Which of the fractions can be represented by this image?

What fraction can I substitute for $$ \frac{3}{3} $$ to be able to find the answer?

Compare the expressions. What is the missing symbol that will go between them? Remember to substitute so that the denominators in each expression are the same.

When the numerator and the denominator are the same, the fraction is equal to__________.

is the number of halves equal to one whole.

is the number of sixths equal to one whole.

is the number of tenths equal to one whole.

is the number of quarters equal to one whole.

Which of these fractions are equivalent to 1?

$$ \frac{10}{10} $$ − $$ \frac{6}{10} $$

$$ \frac{12}{12} $$ − $$ \frac{7}{12} $$

Match the expressions to the correct fraction.

What is the missing fraction in this equation?

Izzy has a multipack of 10 juice blast drinks.
She drinks one on Sunday, Monday, Wednesday and Friday.
What fraction of the multipack is left?

Substitute a fraction representing a whole to solve subtraction problems

Lesson outcome