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New
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 1 of 10
New
New
- Year 10
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
- Percentages can be written as a fraction out of 100
- One number can be written as a fraction of another.
- Representations can support the finding a percentage of a quantity.
- A percentage can be written as a decimal called a multiplier.
- This multiplier can be used to find a percentage of an amount.
Keywords
Equivalent fractions - Two fractions are equivalent if they have the same value.
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.
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 (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Find 10% of 26
Find 10% of 26
Q2.Find 50% of 48
Find 50% of 48
Q3.Find 20% of 45
Find 20% of 45
Q4.Find 1% of 60
Find 1% of 60
Q5.If £4 is 20% of what I have, how much do I have overall?
If £4 is 20% of what I have, how much do I have overall?
Q6.If £5 is 2% of the money I have, how much money do I have altogether?
If £5 is 2% of the money I have, how much money do I have altogether?
Assessment exit quiz
6 Questions
Q1.Write 42 as a percentage of 200
Write 42 as a percentage of 200
Q2.Write 90 as a percentage of 225
Write 90 as a percentage of 225
Q3.Write 312 as a percentage of 120
Write 312 as a percentage of 120
Q4.Find 24% of 70
Find 24% of 70
Q5.Find 14% of 125
Find 14% of 125
Q6.Find 45% of 210
Find 45% of 210
