Skip to content
Oak National Academy
Oak National Academy
Teachers
Pupils
New
New
Year 5

Find a unit fraction of a quantity using representations

I can use representations to find a unit fraction of a quantity.

Download all resources
Share activities with pupils
New
New
Year 5

Find a unit fraction of a quantity using representations

I can use representations to find a unit fraction of a quantity.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. The whole has been divided into __ equal parts and there are __ in each part.
  2. Use representations of sets of objects to divide them into equal parts.
  3. 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.

Ensure clarity with your language when talking about the number of items in each part and the size of each part in comparison to the whole. For this lesson, we refer to the number of items as the value of the part, and the fractional part we refer to as each part's size in comparison to the whole.
Teacher tip

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).

Video

Skip video

Loading...

Starter quiz

Download starter quiz

6 Questions

Q1.
What is the value of each part?
An image in a quiz
$$ \frac{1}{3} $$
$$ \frac{1}{4} $$
Correct answer: $$ \frac{1}{5} $$
$$ \frac{1}{6} $$
Q2.
Which image shows $$ \frac{1}{6} $$ shaded?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
12 = 4 ×
Correct Answer: 3
Q4.
12 ÷ 2 =
Correct Answer: 6
Q5.
20 ÷ = 5
Correct Answer: 4
Q6.
Tick the equations this bar model represents.
An image in a quiz
Correct answer: 15 = 3 × 5
15 ÷ 3 = 5
Correct answer: 15 ÷ 5 = 3
Correct answer: 3 × 5 = 15
15 ÷ 5 = 5

Exit quiz

Download exit quiz

6 Questions

Q1.
What is the value of each part?
An image in a quiz
$$ \frac{1}{5} $$
$$ \frac{1}{6} $$
Correct answer: $$ \frac{1}{7} $$
$$ \frac{1}{8} $$
Q2.
Look at the image and complete. Each part is one-__________ of the whole.
An image in a quiz
Correct answer: half
quarter
fifth
sixth
Q3.
Look at the image. Each part is one-__________ of the whole.
An image in a quiz
two
quarter
fifth
Correct answer: sixth
Q4.
One-__________ of the whole is shaded yellow.
An image in a quiz
two
Correct answer: quarter
fifth
sixth
Q5.
One-quarter of 20 is equal to ___
An image in a quiz
three
four
Correct answer: five
six
Q6.
One-third of 24 is equal to ___
five
six
seven
Correct answer: eight