A mixed number is a whole number and a fraction combined. For example, one and a half is a mixed number.

Quantities that are made up of both whole numbers and a fractional part

Maths

In this unit pupils will compose and decompose quantities made of whole numbers and fractional parts. In the future unit pupils will will estimate the position of numbers on a number line using fraction sense. They will compare and order mixed numbers using fraction sense when the whole number and the numerator of the fractional part is the same.

In the prior unit pupils identified equal parts when they did not look the same related to equivalence. They constructed a whole when given a part and the number of parts. In this unit pupils will compose and decompose quantities made of whole numbers and fractional parts.

Composition of fractions greater than one

Mixed numbers always have a value that is __________ than one.

Look at this table then complete the sentence: Three and a {{ }} hours were spent exercising in total.

Look at this mixed number $$3{{4} \over {10}}$$ We say it as ‘three and four {{ }}.

Look at this mixed number $$2{{3} \over {5}}$$     We say it as {{ }} and three one-fifths.

Jacob has four chocolate bars. Sophia has one-quarter of a bar. How many bars of chocolate do they have altogether?

Look at this piece of string. Describe its length in metres: the string is one and __________ of a metre.

The parts that make up a whole can be {{ }} or unequal in size.

Look at this image. How many equal parts is the whole made from?

Find the whole in this part-part-whole model.

Look at this fraction. How do we say it?  $${1} \over {2}$$

Look at this fraction. How do we say it? $${4} \over {7}$$

Sophia has one-half of a litre of juice. Jacob has half a litre of juice. How many litres of juice do they have altogether? {{ }} litre(s)

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

Quantities that are made up of both whole numbers and a fractional part

Lesson outcome

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