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

The composition of a whole number is the way in which the whole number is made up. For example, ten is composed of seven and three.

Explain how a mixed number is composed

Maths

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

Compose and decompose mixed numbers

Solve problems involving mixed numbers

Accurately label a range of number lines

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.

In this unit pupils will compose and decompose quantities made of whole numbers and fractional parts.

Composition of fractions greater than one

Look at the part-part-whole model. What is the missing part?

Which addition expression represents the composition of the mixed number, $$5{{1} \over {3}}$$?

4 + $$ {1} \over {9}$$ describes the composition of which mixed number?

{{ }} + $$ {3} \over {12}$$ = $$2{{3} \over {12}}$$ 

Use the part-part-whole model to complete this equation. $$5{{3} \over {12}}$$ = {{ }} + $$ {3} \over {12}$$

Complete this equation.
$$10{{3} \over {4}}$$ = {{ }} + $$ {3} \over {4}$$

Look at the part-part-whole model. 100 is made of 75 and {{ }}

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

Look at this mixed number $$5{{3} \over {12}}$$ We say it as {{ }} and three one-twelfths.

Look at this mixed number $$7{{3} \over {8}}$$ We say it as ‘seven and three-{{ }}. 

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

Jacob has a three metre length of rope. Sophia has one-half a metre length of rope. How many metres of rope do they have altogether?

Explain how a mixed number is composed

Lesson outcome