Use parts and wholes to find a unit fraction of a set of objects | Maths

Starter quiz

A whole set of cars is:
- all of them ✓
- some of them
What is the whole amount of lemons shown?
- '7' ✓
Match the division expressions with their quotient.
- 12 ÷ 2 =
  
  ⇔
  
  6 ✓
- 15 ÷ 5 =
  
  ⇔
  
  3 ✓
- 20 ÷ 4 =
  
  ⇔
  
  5 ✓
- 20 ÷ 10 =
  
  ⇔
  
  2 ✓
- 32 ÷ 8 =
  
  ⇔
  
  4 ✓
$Look at this table, and complete the missing section. What is the part as a fraction of the whole?$

Look at this table, and complete the missing section. What is the part as a fraction of the whole?
- one-half ✓
- one-third
- one-quarter
Who has the most marbles in their whole set?
- 'Lucas' ✓
Which whole line is longer?
- 'Line B' ✓

Exit quiz

$Which of these fractions are unit fractions?$

Which of these fractions are unit fractions?
- A ✓
- B
- C ✓
- D
How many equal parts has the whole set of cherries been divided into?
- 4 ✓
- 5
- 20
- one-quarter
$What fraction of the whole is each part?$

What fraction of the whole is each part?
- one-half
- one-third
- one-quarter ✓
- one-fifth
How many cherries are in each part?
- '5' ✓
Lucas has 5 pears. This is one-third of the bag of pears. How many pears are in the whole bag?
- '15' ✓
Sofia has 8 counters. This is one-quarter of the bag of counters. How many counters are in the whole bag?
- '32' ✓

Worksheet

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Lesson Details

Key learning points

The whole can be a set of objects.
To identify the size of a part, we can divide the whole amount by the number of parts.
To identify the size of the whole, we can multiply the number of equal parts by the size of each part.
‘The whole is divided into ___ equal parts. Each equal part is __________ of the whole.'

Common misconception

Children may struggle to make the connection between the unit fraction and the division required.

The stem sentence, 'The whole is divided into ___ equal parts. Each equal part is __________ of the whole.' supports children to grasp this. Support children to make connections between the number of equal parts and the denominator of the fraction.

Keywords

Set - A set is a collection of things (objects or numbers).
Unit fraction - A unit fraction is any fraction where the numerator is one.