The whole is all the parts or everything, the total amount.

Identify a whole and the parts that make it up

Maths

In this unit pupils will represent unit fractions in different ways, identifying the whole, the number of equal parts and the size of each part as a unit fraction including tenths. In the future unit pupils will identify parts and wholes in different contexts.

In the prior unit pupils identified whether something had or had not been split into equal parts. They named fractions one-half one-quarter and one-third in relation to a fraction of a length, shape or set of objects. In this unit pupils will represent unit fractions in different ways, identifying the whole, the number of equal parts and the size of each part as a unit fraction, including tenths.

Unit fractions as part of a whole

Explain why a part can only be defined in relation to a whole

We say that two or more things are equal if they have the same quantity or value.

We say that two or more things are unequal if they do not have the same quantity or value.

Identify the number of equal or unequal parts in a whole

Identify equal parts when they do not look the same

Inequality occurs when things are not equal. We use different symbols to show this.

Explain the size of a part in relation to the whole

Constructing something involves making something by joining parts together.

Construct a whole when given a part and the number of parts

Identify how many equal parts a whole has been divided into

A fraction shows us how many equal parts in a whole.

The division bar is the horizontal line separating the two values in a fraction.

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 fraction notation to describe an equal part of the whole

A half is one equal part of a whole that has been divided into 2 equal parts.

A third is one equal part of a whole that has been divided into 3 equal parts.

A quarter is one equal part of a whole that has been divided into 4 equal parts.

A fifth is one equal part of a whole that has been divided into 5 equal parts.

Represent unit fractions in different ways

We say that two or more things are equal if they have the same quantity or value. We say that two or more things are unequal if they do not have the same quantity or value.

A fraction describes the relationship between a part and a whole.

Unit fractions as part of a whole

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These lessons will be removed by end of Summer Term 2025.