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Year 3

Solve problems involving comparing unit fractions

I can solve problems involving comparing unit fractions.

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Share activities with pupils
New
New
Year 3

Solve problems involving comparing unit fractions

I can solve problems involving comparing unit fractions.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. When comparing unit fractions, the greater the denominator, the smaller the fraction.
  2. When comparing unit fractions, the smaller the denominator, the larger the fraction.
  3. Equal parts may not look the same.

Common misconception

Children may still fall into the habit of considering the greater denominator to be a greater fraction.

Continue to revisit a fraction wall where possible and use real life contexts and images. Ensure that the statement, 'When the whole is equal, the greater the denominator, the smaller the fraction.' is visible and constantly refer to it.

Keywords

  • Whole - The whole is all of a group or number.

  • Part - A part is a section of the whole.

  • Denominator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

  • Unit fraction - A unit fraction is a fraction where the numerator is 1

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).

Video

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Starter quiz

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6 Questions

Q1.
Look at the picture. How many equal parts has the whole been divided into?
An image in a quiz
Correct Answer: 3, three, 3 parts, three parts, 3 equal parts
Q2.
What fraction of the whole is indicated by each circled group in the picture?
An image in a quiz
$$ \frac{1}{9} $$
Correct answer: $$ \frac{1}{3} $$
$$ \frac{1}{4} $$
$$ \frac{1}{6} $$
Q3.
Tick the fractions which are smaller than one-third.
An image in a quiz
$$ \frac{1}{2} $$
$$ \frac{1}{3} $$
Correct answer: $$ \frac{1}{5} $$
Correct answer: $$ \frac{1}{20} $$
Q4.
Which inequality symbol completes this statement? $$ \frac{1}{2} $$ $$ \frac{1}{5} $$
An image in a quiz
Correct Answer: >
Q5.
Which inequality symbol completes this statement? $$ \frac{1}{6} $$ $$ \frac{1}{4} $$
An image in a quiz
Correct Answer: <
Q6.
What is fraction of the whole is the shaded part below?
An image in a quiz
$$ \frac{1}{2} $$
Correct answer: $$ \frac{1}{4} $$
$$ \frac{1}{5} $$
$$ \frac{1}{8} $$

Exit quiz

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6 Questions

Q1.
Select the correct symbol to make the statement correct.
An image in a quiz
Correct answer: <
>
=
Q2.
Select the correct symbol to make the statement correct.
An image in a quiz
<
Correct answer: >
=
Q3.
Select the correct symbol to make the statement correct.
An image in a quiz
<
Correct answer: >
=
Q4.
Which numbers could you use as a denominator to make this correct?
An image in a quiz
Correct answer: 2
Correct answer: 5
12
20
100
Q5.
Which numbers could you use as a denominator to make this correct?
An image in a quiz
Correct answer: 2
Correct answer: 4
10
12
100
Q6.
Which of these unit fractions could go in the empty box?
An image in a quiz
$$ \frac{1}{2} $$
Correct answer: $$ \frac{1}{4} $$
Correct answer: $$ \frac{1}{5} $$
$$ \frac{1}{8} $$