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Year 3

Compare non-unit fractions including those equal to 1

I can compare non-unit fractions including those equal to 1

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New

Year 3

Compare non-unit fractions including those equal to 1

I can compare non-unit fractions including those equal to 1

Download all resources

Share activities with pupils

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Lesson details

Key learning points

To compare non-unit fractions, the whole must be the same for each fraction.
When the numerators are the same, the greater the denominator, the smaller the fraction.
When the denominators are the same, the greater the numerator, the greater the fraction.

Keywords

Denominator - A denominator is the bottom number written in a fraction.
Numerator - A numerator is the top number written in a fraction.

Common misconception

Pupils may struggle to compare fractions with the same numerator or denominator.

Encourage pupils to use fraction representations to help them visualise. Reference the size of the parts (same numerator, greater denominator means smaller parts) or how many there are (same denominator, greater numerator means more parts).

Pupils compare and order fractions, using both the denominator and the numerator. In the second learning cycle, children are presented with a problem that can be solved through multiple approaches. Decide which scaffolds provided are most appropriate to help your pupils access this problem.

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.

Which symbol would make this correct?

Correct answer: <

Q2.

Sofia is comparing $$\frac{6}{7}$$ and $$\frac{7}{7}$$ Which of these is true?

Correct answer: $$\frac{6}{7}$$ is less than $$\frac{7}{7}$$

$$\frac{6}{7}$$ is greater than $$\frac{7}{7}$$

$$\frac{6}{7}$$ is equal to $$\frac{7}{7}$$

Correct answer: $$\frac{7}{7}$$ is equal to one whole

Q3.

Which symbol would make this correct?

Correct answer: >

Q4.

Order these fractions from smallest to largest.

1 - $$\frac{2}{11}$$

2 - $$\frac{4}{11}$$

3 - $$\frac{7}{11}$$

4 - $$\frac{9}{11}$$

Q5.

What fractions would be positioned between $$\frac{4}{9}$$ and $$\frac{7}{9}$$ on the number line?

$$\frac{3}{9}$$

Correct answer: $$\frac{5}{9}$$

Correct answer: $$\frac{6}{9}$$

$$\frac{8}{9}$$

Q6.

Order these fractions from smallest to largest.

1 - $$\frac{5}{11}$$

2 - $$\frac{5}{9}$$

3 - $$\frac{5}{7}$$

4 - $$\frac{5}{5}$$

Exit quiz

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6 Questions

Q1.

Sofia loves milkshake. Would she rather have $$\frac{4}{7}$$, $$\frac{5}{7}$$ or $$\frac{6}{7}$$ of a milkshake?

$$\frac{4}{7}$$

$$\frac{5}{7}$$

Correct answer: $$\frac{6}{7}$$

Q2.

Sofia loves milkshake. Would she rather have $$\frac{2}{3}$$, $$\frac{2}{4}$$ or $$\frac{2}{5}$$ of a milkshake?

Correct answer: $$\frac{2}{3}$$

$$\frac{2}{4}$$

$$\frac{2}{5}$$

Q3.

Which symbol would make this correct?

Correct answer: >

Q4.

Order these fractions from smallest to largest.

1 - $$\frac{4}{11}$$

2 - $$\frac{4}{9}$$

3 - $$\frac{4}{7}$$

4 - $$\frac{4}{5}$$

Q5.

Order the fractions from smallest to largest.

1 - $$\frac{3}{10}$$

2 - $$\frac{3}{8}$$

3 - $$\frac{5}{8}$$

4 - $$\frac{5}{6}$$

Q6.

What fraction would be positioned between $$\frac{4}{9}$$ and $$\frac{7}{9}$$ on the number line?

$$\frac{4}{10}$$

Correct answer: $$\frac{4}{8}$$

$$\frac{7}{8}$$

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