New
New
Year 10
Higher

Checking and securing understanding of finding a percentage

I can describe one number as a percentage of another and calculate a given percentage of an amount efficiently.

New
New
Year 10
Higher

Checking and securing understanding of finding a percentage

I can describe one number as a percentage of another and calculate a given percentage of an amount efficiently.

Lesson details

Key learning points

  1. Percentages can be written as a fraction out of 100
  2. One number can be written as a fraction of another.
  3. Representations can support the finding a percentage of a quantity.
  4. A percentage can be written as a decimal called a multiplier.
  5. This multiplier can be used to find a percentage of an amount.

Common misconception

A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3

Two responses can be used to remind students that to covert a percentage into a decimal; we divide by 100; using 3%, ask what 30% is as a decimal and 3% as a decimal. Pupils realise they cannot be the same. A place value chart also helps.

Keywords

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

Using a multiplier is a more effective way to calculate a percentage of an amount. Can they write the calculation to work out 35% of 23% of 11% of 140? Alternatively, can they write a question for the calculation 0.62 x 0.78 x 0.56 x 950?
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).

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6 Questions

Q1.
Find 10% of 26
Correct Answer: 2.6
Q2.
Find 50% of 48
Correct Answer: 24
Q3.
Find 20% of 45
Correct Answer: 9
Q4.
Find 1% of 60
Correct Answer: 0.6
Q5.
If £4 is 20% of what I have, how much do I have overall?
Correct Answer: £20, 20
Q6.
If £5 is 2% of the money I have, how much money do I have altogether?
Correct Answer: 250, £250

6 Questions

Q1.
Write 42 as a percentage of 200
Correct Answer: 21, 21%
Q2.
Write 90 as a percentage of 225
Correct Answer: 40, 40%
Q3.
Write 312 as a percentage of 120
Correct Answer: 260, 260%
Q4.
Find 24% of 70
Correct Answer: 16.8
Q5.
Find 14% of 125
Correct Answer: 17.5
Q6.
Find 45% of 210
Correct Answer: 94.5