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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.

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New
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 resources
Share activities with pupils

Lesson details

Key learning points

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

Keywords

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

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 (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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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?
An image in a quiz
Correct Answer: 4, four
Q3.
Find the whole in this part-part-whole model.
An image in a quiz
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

Exit quiz

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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.
An image in a quiz
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.
An image in a quiz
one quarter
Correct answer: four tenths
one half
three tenths
five tenths