New
New
Year 3

Review comparing unit fractions

I can compare unit fractions.

New
New
Year 3

Review comparing unit fractions

I can compare unit fractions.

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Lesson details

Key learning points

  1. When the whole is the same, the greater the number of equal parts, the smaller each equal part is.
  2. When the whole is the same, the smaller the number of equal parts, the larger each equal part is.
  3. When comparing unit fractions, the greater the denominator, the smaller the fraction.
  4. When comparing unit fractions, the smaller the denominator, the larger the fraction.

Keywords

  • Denominator - A denominator is the bottom number written in a fraction.

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

Common misconception

Pupils may struggle to see that a unit fraction with a larger denominator is smaller than a unit fraction with a smaller denominator.

Pupils should be supported to visualise each fraction before moving on to interpreting abstract fraction notation. Encourage them to see the connection between the number of equal parts and the relative size of the fractions.

In this lesson, pupils revisit unit fractions, focusing on comparing and ordering them by size. Remind pupils that the whole needs to be the same when comparing unit fractions otherwise the size of the parts will not be equal.
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).

Lesson video

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6 Questions

Q1.
Which of these is correct?
An image in a quiz
Correct answer: $$\frac{5}{6}$$ is greater than $$\frac{4}{6}$$
$$\frac{5}{6}$$ is less than $$\frac{4}{6}$$
$$\frac{5}{6}$$ is equal to $$\frac{4}{6}$$
Q2.
Which symbol would make this correct?
An image in a quiz
Correct answer: >
<
=
Q3.
Put these fractions in order, starting with the smallest.
1 - $$ \frac{1}{7} $$
2 - $$ \frac{3}{7} $$
3 - $$ \frac{6}{7} $$
Q4.
Put these fractions in order, starting with the greatest.
1 - $$\frac{9}{9}$$
2 - $$\frac{6}{9}$$
3 - $$\frac{3}{9}$$
4 - $$\frac{1}{9}$$
Q5.
What is the missing numerator?
An image in a quiz
Correct Answer: 4, four
Q6.
What is the missing numerator?
An image in a quiz
Correct Answer: 9, nine

6 Questions

Q1.
Sofia is comparing comparing $$\frac{1}{6}$$ and $$\frac{1}{7}$$ Which of these is true?
$$\frac{1}{6}$$ is less than $$\frac{1}{7}$$
Correct answer: $$\frac{1}{6}$$ is greater than $$\frac{1}{7}$$
$$\frac{1}{6}$$ is equal to $$\frac{1}{7}$$
Q2.
Jacob is comparing $$\frac{1}{10}$$ and $$\frac{1}{9}$$ Which of these are true?
Correct answer: $$\frac{1}{10}$$ is less than $$\frac{1}{9}$$
$$\frac{1}{10}$$ is greater than $$\frac{1}{9}$$
$$\frac{1}{10}$$ is equal to $$\frac{1}{9}$$
Q3.
Which fraction would appear on a number line between $$\frac{1}{2}$$ and $$\frac{1}{4}$$?
An image in a quiz
$$\frac{1}{5}$$
Correct answer: $$\frac{1}{3}$$
$$\frac{1}{6}$$
$$\frac{1}{2}$$
Q4.
Which fraction would appear on a number line between $$\frac{1}{4}$$ and $$\frac{1}{6}$$?
An image in a quiz
Correct answer: $$\frac{1}{5}$$
$$\frac{1}{3}$$
$$\frac{1}{8}$$
$$\frac{1}{10}$$
Q5.
What is the missing denominator?
An image in a quiz
Correct Answer: 8, eight
Q6.
What is the missing denominator?
An image in a quiz
Correct Answer: 15, fifteen