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 a non-unit fraction

Maths

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

Substitute a fraction representing a whole to solve subtraction problems

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

The unit is one of something that defines the ‘one’ you are counting in.

A generalisation is a statement or rule that applies correctly to all relevant cases.

The minuend is the number being subtracted from.

A subtrahend is a number subtracted from another. There can be more than one.

Additive equations involve addition or subtraction.

Inverse means the opposite in effect or reverse of. For example, subtraction is the inverse operation of addition.

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.

Composition of non-unit fractions: addition and subtraction

Choose a lesson (10)