Solve problems by identifying parts and wholes in a range of contexts | Maths

Starter quiz

Tick the numbers that are multiples of 2
- 2 ✓
- 4 ✓
- 7
- 21
- 22 ✓
Tick the numbers that are multiples of 3
- 3 ✓
- 5
- 6 ✓
- 9 ✓
- 13
Complete the sentence: The whole has been divided into 8 equal parts and 1 is shaded. This is one-______
- 'eighth' ✓
The whole has been divided into 3 equal parts. One part is shaded. What is the name of the fraction being represented?
- one-half
- one-quarter
- one-third ✓
Tick the correct fraction notation that shows one-twelfth.
- $\frac{1}{12}$ ✓
- $\frac{1}{11}$
- $\frac{12}{12}$
- $\frac{12}{1}$
Match the fraction name to the fraction notation.
- $\frac{1}{12}$
  
  ⇔
  
  one-twelfth ✓
- $\frac{1}{5}$
  
  ⇔
  
  one-fifth ✓
- $\frac{1}{9}$
  
  ⇔
  
  one-ninth ✓
- $\frac{1}{11}$
  
  ⇔
  
  one-eleventh ✓

Exit quiz

Which of these representations goes into the right oval of the Venn diagram?
- Shape A
- Shape B ✓
Which of these representations goes into the left oval of the Venn diagram?
Which of these representations goes into the middle of the Venn diagram?
- Shape A ✓
- Shape B
$What fraction of the whole is the shaded part in this image?$

What fraction of the whole is the shaded part in this image?
- $\frac{1}{2}$
- $\frac{1}{4}$
- $\frac{1}{10}$
- $\frac{1}{8}$ ✓
$What fraction of the whole is the shaded part in this image?$

What fraction of the whole is the shaded part in this image?
- $\frac{1}{3}$
- $\frac{1}{4}$ ✓
- $\frac{1}{5}$
- $\frac{1}{6}$
$What fraction of the whole is the shaded part in this image?$

What fraction of the whole is the shaded part in this image?
- $\frac{1}{3}$
- $\frac{1}{4}$
- $\frac{1}{2}$ ✓
- $\frac{1}{5}$

Worksheet

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Presentation

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Lesson Details

Key learning points

The whole has been divided into __ equal parts.
Each equal part is one-__ of the whole.
You can represent fractions with an image, symbol and name.
Equal parts may not look the same.

Common misconception

Pupils struggle to visualise when considering 3D parts and wholes and cannot identify a given fractional part of a 3D whole, particularly when presented on a screen as a picture.

Provide opportunities for pupils to experience fractional parts of 3D shapes in real life situations e.g. base 10 blocks or using cuboids such as small cereal variety boxes or photocopying paper boxes. Physical manipulation can support visualisation.

Keywords

Whole - The whole is all the parts or everything, the total amount.
Part - A part is some of the whole.
Equal - Have the same quantity or value.
Unequal - Do not have the same quantity or value.