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Year 8

Checking understanding of percentages

I can manipulate percentages of an amount without a representation.

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New
New
Year 8

Checking understanding of percentages

I can manipulate percentages of an amount without a representation.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. Percent relates to the number of parts per hundred.
  2. Percentages can be written as a fraction out of 100.
  3. The equivalence of fractions, decimals and percentages can be used to solve problems.
  4. Percentages of amounts can be calculated by using known fractions.

Common misconception

When finding 10% we divide by 10, so when finding 5% we divide by 5.

Use a bar model to show the division of 10 means one tenth of the amount. When dividing by 5 it means one fifth has been found.

Keywords

  • Equivalent fractions - Two fractions are equivalent if they have the same value.

Ask pupils to use MWB and draw a spider diagram showing as many percentages of ANY amount they choose e.g 240 and they show 10% = 24, 5%=12, etc. Asking them to remove the central number (100%) and their peers must work out the original amount.
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

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Starter quiz

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6 Questions

Q1.
Two fractions are __________ if they have the same value.
Correct answer: equivalent
improper
mixed
proper
Q2.
10% of 600 is .
Correct Answer: 60, sixty
Q3.
10% of 870 is .
Correct Answer: 87, eighty seven, eighty-seven
Q4.
5% of 400 is .
Correct Answer: 20, twenty
Q5.
5% of 940 is .
Correct Answer: 47, forty seven, forty-seven
Q6.
Match each percentage calculation to its answer.
Correct Answer:10% of 50,5

5

Correct Answer:10% of 80,8

8

Correct Answer:5% of 50,2.5

2.5

Correct Answer:15% of 50,7.5

7.5

Correct Answer:15% of 60,9

9

Correct Answer:5% of 60,3

3

Exit quiz

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6 Questions

Q1.
Percent comes from the Latin phrase “per centum” meaning “by the __________ .”
ten
fifty
Correct answer: hundred
thousand
million
Q2.
The percentage of this grid that is shaded is %.
An image in a quiz
Correct Answer: 32, 32%, 32 %
Q3.
What fraction of this grid is shaded? Select your answer in its simplified form.
An image in a quiz
$$ {{32} \over {100}}$$ 
$$ {{16} \over {100}}$$ 
$$ {{16} \over {50}}$$ 
Correct answer: $$ {{8} \over {25}}$$ 
Q4.
Match each percentage question with the calculation needed to work it out.
Correct Answer:Work out 40% of 800,800 ÷ 10 × 4

800 ÷ 10 × 4

Correct Answer:Work out 50% of 800,800 ÷ 2

800 ÷ 2

Correct Answer:Work out 15% of 800,80 + 40

80 + 40

Correct Answer:Work out 30% of 800,800 ÷ 10 × 3

800 ÷ 10 × 3

Correct Answer:Work out 25% of 800,800 ÷ 4

800 ÷ 4

Correct Answer:Work out 99% of 800,800 − 8

800 − 8

Q5.
Which of the following are valid calculations to work out 55% of 400?
400 ÷ 10 × 5 + 40
Correct answer: 400 ÷ 20 × 11
Correct answer: 400 ÷ 10 × 5 + 20
Correct answer: 400 ÷ 2 + 20
400 ÷ 55 × 100
Q6.
35% of 24 is .
Correct Answer: 8.4