Find a unit fraction of a quantity using representations | Maths

Starter quiz

What is the value of each part?
- $\frac{1}{3}$
- $\frac{1}{4}$
- $\frac{1}{5}$ ✓
- $\frac{1}{6}$
Which image shows $\frac{1}{6}$ shaded?
12 = 4 × ______
- '3' ✓
12 ÷ 2 = ______
- '6' ✓
20 ÷ ______ = 5
- '4' ✓
Tick the equations this bar model represents.
- 15 = 3 × 5 ✓
- 15 ÷ 3 = 5
- 15 ÷ 5 = 3 ✓
- 3 × 5 = 15 ✓
- 15 ÷ 5 = 5

Exit quiz

What is the value of each part?
- $\frac{1}{5}$
- $\frac{1}{6}$
- $\frac{1}{7}$ ✓
- $\frac{1}{8}$
Look at the image and complete. Each part is one-__________ of the whole.
- half ✓
- quarter
- fifth
- sixth
Look at the image. Each part is one-__________ of the whole.
- two
- quarter
- fifth
- sixth ✓
One-__________ of the whole is shaded yellow.
- two
- quarter ✓
- fifth
- sixth
One-quarter of 20 is equal to ___
- three
- four
- five ✓
- six
One-third of 24 is equal to ___
- five
- six
- seven
- eight ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

The whole has been divided into __ equal parts and there are __ in each part.
Use representations of sets of objects to divide them into equal parts.
Count how many objects are in each equal part.

Common misconception

Pupils confuse the fraction part of each whole with the value of the number of items in each part.

Progressively build from looking at the size of each part in relation to the whole using bar models to start with. After pupils are secure with this, introduce the quantities and be clear to distinguish between the value and size of each part.

Keywords

Representation - A representation is a way of showing an idea or concept. One concept can be be shown by multiple representations.