Identify parts and wholes in the contexts of lines and 3D objects | Maths

Starter quiz

$What is the name of the indicated part of the fraction?$

What is the name of the indicated part of the fraction?
- Division bar
- Denominator
- Numerator ✓
$What is the name of this fraction?$

What is the name of this fraction?
- one-quarter
- one fifth ✓
- one-fiveth
Complete the sentence: The whole has been divided into 6 equal parts and 1 is shaded. This is one-______
- 'sixth' ✓
Tick the correct fraction notation that shows one-third.
- $\frac{1}{3}$ ✓
- $\frac{1}{4}$
- $\frac{3}{3}$
- $\frac{3}{1}$
Tick the correct fraction notation that shows one-seventh.
- $\frac{1}{8}$
- $\frac{1}{7}$ ✓
- $\frac{7}{8}$
- $\frac{7}{1}$
Match the fraction name to the fraction notation.
- $\frac{1}{12}$
  
  ⇔
  
  one-twelfth ✓
- $\frac{1}{5}$
  
  ⇔
  
  one-fifth ✓
- $\frac{1}{9}$
  
  ⇔
  
  one-ninth ✓
- $\frac{1}{2}$
  
  ⇔
  
  one-half ✓

Exit quiz

Look at the picture. What is the whole?
- A line ✓
- A shape
- A quantity
$A strip of paper has been folded into equal parts. What fraction is each equal part?$

A strip of paper has been folded into equal parts. What fraction is each equal part?
- $\frac{1}{7}$ one-seventh
- $\frac{1}{5}$ one-fifth
- $\frac{1}{4}$ one-quarter
- $\frac{1}{6}$ one-sixth ✓
$What fraction describes the highlighted part of the line?$

What fraction describes the highlighted part of the line?
- $\frac{1}{4}$ one-quarter ✓
- $\frac{1}{5}$ one-fifth
- $\frac{1}{6}$ one-sixth
- $\frac{1}{2}$ one-half
$What fraction describes the highlighted part of the line?$

What fraction describes the highlighted part of the line?
- $\frac{1}{4}$ one-quarter
- $\frac{1}{5}$ one-fifth
- $\frac{1}{6}$ one-sixth
- $\frac{1}{3}$ one-third ✓
$What fraction describes the purple cube part?$

What fraction describes the purple cube part?
- $\frac{1}{4}$ one-quarter
- $\frac{1}{5}$ one-fifth
- $\frac{1}{9}$ one-ninth ✓
- $\frac{1}{7}$ one-seventh
$What fraction of the larger cuboid is represented by the smaller shaded cuboid?$

What fraction of the larger cuboid is represented by the smaller shaded cuboid?
- $\frac{1}{4}$ one-quarter ✓
- $\frac{1}{5}$ one-fifth
- $\frac{1}{6}$ one-sixth
- $\frac{1}{3}$ one-third

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.
Fractions can be represented in different ways including names and notation.

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 of a group or number.
Part - A part is a section of the whole.
Equal - Have the same quantity or value.
Unequal - Do not have the same quantity or value.