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Explain how finding a fraction of a quantity relates to multiplying by a unit fraction

I can explain how finding a fraction of a quantity relates to multiplying by a unit fraction.

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Lesson 2 of 10

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Year 5

Explain how finding a fraction of a quantity relates to multiplying by a unit fraction

I can explain how finding a fraction of a quantity relates to multiplying by a unit fraction.

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Lesson details

Key learning points

Half of a number is the same as a half multiplied by the number.
If half of 10 is 5 then 1/2 x 10 = 5
Finding a fraction of a number is the same as multiplying the number by the fraction.

Keywords

Relationship - A relationship is a connection between two or more things.
Unit fraction - A unit fraction is a fraction that has a numerator of one.

Common misconception

Pupils struggle to see the relationship between the different number rods.

Take time with pupils for them to explore the use of number rods if they have not done so before. You might ask pupils to find rods that are half the size of different coloured rods, so they can estimate sizes and draw attention to the relationship.

Make sure you give time to exploring the multiplicative relationship between the rods as both repeated addition and scaling. As you do this, you might like to replace the rods with a small piece of elastic to further demonstrate the shrinking of the whole as it becomes one-___ times the size.

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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

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Worksheet

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Prior knowledge starter quiz

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6 Questions

Q1.
Tick the unit fractions.

Correct answer: $$ \frac{1}{5} $$

$$ \frac{3}{6} $$

Correct answer: $$ \frac{1}{12} $$

$$ \frac{6}{7} $$

$$ \frac{8}{4} $$

Q2.
Look at the image and complete. Each part is one-__________ of the whole.

half

Correct answer: quarter

fifth

sixth

Q3.
Look at the image. One-__________ of the whole is circled.

half

third

fifth

Correct answer: sixth

Q4.
Which equations match the image?

orange + orange = yellow

yellow + orange = yellow

Correct answer: yellow + yellow = orange

Correct answer: 2 × yellow = orange

Q5.
One-quarter of 28 is equal to

Correct Answer: 7

Q6.
One-fifth of 30 is equal to

Correct Answer: 6

Assessment exit quiz

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6 Questions

Q1.
How many lots of yellow are equal to orange?

Correct Answer: 2, two

Q2.
Tick the representation that matches the equation: $$ \frac{1}{2} $$ × r = w

Correct Answer: An image in a quiz

Q3.
Tick the equations that match the image.

g = r

Correct answer: g = 3 × r

$$ \frac{1}{3} $$ × r = g

Correct answer: $$ \frac{1}{3} $$ × g = r

Q4.
Tick the operation that can replace ‘of’ in a calculation.

−

Correct answer: ×

Q5.
Tick the equations that match the image.

5 = 20 × 4

Correct answer: 20 = 4 × 5

Correct answer: $$ \frac{1}{4} $$ × 20 = 5

$$ \frac{1}{5} $$ × 20 = 4

Q6.
Tick the equations that match the image.

Correct answer: 18 = 6 × 3

18 = $$ \frac{1}{3} $$ × 6

$$ \frac{1}{6} $$ × 18 = 3

Correct answer: $$ \frac{1}{3} $$ × 18 = 6

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UnitMaths / Find unit and non-unit fractions of whole numbers exploring parts and wholes

Maths

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Explain how finding a fraction of a quantity relates to multiplying by a unit fraction

Explain how finding a fraction of a quantity relates to multiplying by a unit fraction

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.Tick the unit fractions.

Q2.Look at the image and complete. Each part is one-__________ of the whole.

Q3.Look at the image. One-__________ of the whole is circled.

Q4.Which equations match the image?

Q5.One-quarter of 28 is equal to

Q6.One-fifth of 30 is equal to

Assessment exit quiz

6 Questions

Q1.How many lots of yellow are equal to orange?

Q2.Tick the representation that matches the equation: $$ \frac{1}{2} $$ × r = w

Q3.Tick the equations that match the image.

Q4.Tick the operation that can replace ‘of’ in a calculation.

Q5.Tick the equations that match the image.

Q6.Tick the equations that match the image.

Lesson appears in

UnitMaths / Find unit and non-unit fractions of whole numbers exploring parts and wholes

Maths

Q1.
Tick the unit fractions.

Q2.
Look at the image and complete. Each part is one-__________ of the whole.

Q3.
Look at the image. One-__________ of the whole is circled.

Q4.
Which equations match the image?

Q5.
One-quarter of 28 is equal to

Q6.
One-fifth of 30 is equal to

Q1.
How many lots of yellow are equal to orange?

Q2.
Tick the representation that matches the equation: $$ \frac{1}{2} $$ × r = w

Q3.
Tick the equations that match the image.

Q4.
Tick the operation that can replace ‘of’ in a calculation.

Q5.
Tick the equations that match the image.

Q6.
Tick the equations that match the image.