New

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

I can express quantities that are made up of both whole numbers and a fractional part.

Download all

View unit

Lesson 1 of 5

New

Year 4

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

I can express quantities that are made up of both whole numbers and a fractional part.

Download all

Lesson slides

Download lesson slides

Skip lesson slides

Lesson details

Key learning points

Quantities can be made of a whole number and a fractional part.
Quantities made of a whole number and a fractional part are greater than 1
A quantity made of a whole number and a fractional part is called a mixed number.

Keywords

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

Common misconception

Children may be confused as to how to write mixed numbers.

As a school, establish how mixed numbers will be recorded so that you have consistency.

Introduce mixed numbers using a practical context to support children to grasps the concept. Use unitising language where possible e.g. alternating between four and two-thirds and four and two one-thirds.

Teacher tip

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Skip lesson video

Worksheet

Download worksheet

Skip worksheet

Prior knowledge starter quiz

Download quiz pdf

6 Questions

Q1.
The parts that make up a whole can be or unequal in size.

Correct Answer: equal

Q2.
Look at this image. How many equal parts is the whole made from?

Correct Answer: 4, four

Q3.
Find the whole in this part-part-whole model.

Correct Answer: 30

Q4.
Look at this fraction. How do we say it? $${1} \over {2}$$

Correct answer: One half

One third

One quarter

One fifth

One sixth

Q5.
Look at this fraction. How do we say it? $${4} \over {7}$$

Four sevens

Correct answer: Four sevenths

Four and one seventh

Seven fours

Seven quarters

Q6.
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)

Correct Answer: 1, one

Assessment exit quiz

Download quiz pdf

6 Questions

Q1.
Mixed numbers always have a value that is __________ than one.

smaller

thinner

wider

Correct answer: greater

Q2.
Look at this table then complete the sentence: Three and a hours were spent exercising in total.

Correct Answer: half

Q3.
Look at this mixed number $$3{{4} \over {10}}$$ We say it as ‘three and four .

Correct Answer: tenths

Q4.
Look at this mixed number $$2{{3} \over {5}}$$ We say it as and three one-fifths.

Correct Answer: two, 2

Q5.
Jacob has four chocolate bars. Sophia has one-quarter of a bar. How many bars of chocolate do they have altogether?

$$4{{4} \over {1}}$$

Correct answer: $$4{{1} \over {4}}$$

$${1{1} \over {4}}$$

$$1{{4} \over {1}}$$

Q6.
Look at this piece of string. Describe its length in metres: the string is one and __________ of a metre.

one quarter

Correct answer: four tenths

one half

three tenths

five tenths

Lesson appears in

UnitMaths / Composition of fractions greater than one

Maths

Show unit

Choose exam board for KS4 Biology

Choose exam board for KS4 Chemistry

Choose exam board for KS4 Combined science

Choose exam board for KS4 Computer Science (GCSE)

Choose exam board for KS4 English

Choose exam board for KS4 French

Choose exam board for KS4 Geography

Choose exam board for KS4 German

Choose exam board for KS4 History

Choose tier for KS4 Maths

Choose exam board for KS4 Music

Choose exam board for KS4 Physical education (GCSE)

Choose exam board for KS4 Physics

Choose exam board for KS4 Religious education (GCSE)

Choose exam board for KS4 Spanish

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

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

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.The parts that make up a whole can be or unequal in size.

Q2.Look at this image. How many equal parts is the whole made from?

Q3.Find the whole in this part-part-whole model.

Q4.Look at this fraction. How do we say it? $${1} \over {2}$$

Q5.Look at this fraction. How do we say it? $${4} \over {7}$$

Q6.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)

Assessment exit quiz

6 Questions

Q1.Mixed numbers always have a value that is __________ than one.

Q2.Look at this table then complete the sentence: Three and a hours were spent exercising in total.

Q3.Look at this mixed number $$3{{4} \over {10}}$$ We say it as ‘three and four .

Q4.Look at this mixed number $$2{{3} \over {5}}$$ We say it as and three one-fifths.

Q5.Jacob has four chocolate bars. Sophia has one-quarter of a bar. How many bars of chocolate do they have altogether?

Q6.Look at this piece of string. Describe its length in metres: the string is one and __________ of a metre.

Lesson appears in

UnitMaths / Composition of fractions greater than one

Maths

Q1.
The parts that make up a whole can be or unequal in size.

Q2.
Look at this image. How many equal parts is the whole made from?

Q3.
Find the whole in this part-part-whole model.

Q4.
Look at this fraction. How do we say it? $${1} \over {2}$$

Q5.
Look at this fraction. How do we say it? $${4} \over {7}$$

Q6.
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)

Q1.
Mixed numbers always have a value that is __________ than one.

Q2.
Look at this table then complete the sentence: Three and a hours were spent exercising in total.

Q3.
Look at this mixed number $$3{{4} \over {10}}$$ We say it as ‘three and four .

Q4.
Look at this mixed number $$2{{3} \over {5}}$$ We say it as and three one-fifths.

Q5.
Jacob has four chocolate bars. Sophia has one-quarter of a bar. How many bars of chocolate do they have altogether?

Q6.
Look at this piece of string. Describe its length in metres: the string is one and __________ of a metre.