New
New
Year 3

# Solve problems involving comparing unit fractions

I can solve problems involving comparing unit fractions.

New
New
Year 3

# Solve problems involving comparing unit fractions

I can solve problems involving comparing unit fractions.

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## 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).

## Starter quiz

### 6 Questions

Q1.
Look at the picture. How many equal parts has the whole been divided into?
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?
$$\frac{1}{9}$$
Correct answer: $$\frac{1}{3}$$
$$\frac{1}{4}$$
$$\frac{1}{6}$$
Q3.
Tick the fractions which are smaller than one-third.
$$\frac{1}{2}$$
$$\frac{1}{3}$$
Correct answer: $$\frac{1}{5}$$
Correct answer: $$\frac{1}{20}$$
Q4.
Which inequality symbol completes this statement? $$\frac{1}{2}$$ $$\frac{1}{5}$$
Q5.
Which inequality symbol completes this statement? $$\frac{1}{6}$$ $$\frac{1}{4}$$
Q6.
What is fraction of the whole is the shaded part below?
$$\frac{1}{2}$$
Correct answer: $$\frac{1}{4}$$
$$\frac{1}{5}$$
$$\frac{1}{8}$$

## Exit quiz

### 6 Questions

Q1.
Select the correct symbol to make the statement correct.
>
=
Q2.
Select the correct symbol to make the statement correct.
<
=
Q3.
Select the correct symbol to make the statement correct.
<
=
Q4.
Which numbers could you use as a denominator to make this correct?
12
20
100
Q5.
Which numbers could you use as a denominator to make this correct?
$$\frac{1}{2}$$
Correct answer: $$\frac{1}{4}$$
Correct answer: $$\frac{1}{5}$$
$$\frac{1}{8}$$