New
New
Year 6
Use knowledge of calculating any percentage of a number to solve problems in a range of contexts
I can calculate any percentage of a number and solve problems in a range of contexts.
New
New
Year 6
Use knowledge of calculating any percentage of a number to solve problems in a range of contexts
I can calculate any percentage of a number and solve problems in a range of contexts.
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Lesson details
Key learning points
- If I know 10% of a number, I can halve it to find 5%
- If I know 10% and 5% of a number, I can add them to find 15%
- Addition, subtraction, multiplication and division can be used to calculate a new percentage from known percentages.
Keywords
Percentage - A percentage is a proportion of a whole.
Common misconception
Pupils may confuse the numbers given and the percentages of them when calculating.
In the lesson, calculating with the numbers given (from 3 to 90) and the percentages of them (e.g. 1% to 30%) is often dealt with separately, looking at individual columns in a table. Columns can be covered when calculating to help focus attention.
To access this lesson, pupils need to be familiar with working out 50%, 10% and 1% of a number. Encourage them to discuss and estimate percentages in aspects of everyday life. Pie charts are introduced in this lesson, although pupils are not expected to interpret the data in them.
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).Lesson video
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Starter quiz
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6 Questions
Q1.
Find 10% of these numbers.
18
45
130
300
13
Q2.
Find 25% of these numbers.
30
26
75
300
250
Q3.
Find 75% of these numbers.
90
300
750
450
1,125
Q4.
What number is 1% of 150?
Q5.
Use this fact to calculate other percentages. 100% is 160 km
80 km
16 km
64 km
8 km
1.6 km
Q6.
If 100% is 450 km, use an efficient method to find 60% of 450 km km
Exit quiz
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6 Questions
Q1.
How can you find the percentages of different numbers?
Divide by 10
Divide by 4
Divide by 100
Add 50% and 25% together
Halve 10%
Q2.
If 100% is £400, find these percentages.
£200
£40
£4
£100
£300
Q3.
Lucas needs to find the number of children who cycled to school. Look at the pie chart and complete each step of the table to calculate 21% of 300 children
Q4.
Aisha’s battery has 69% of 600 minutes left. Complete each step of the table to calculate 69% of 600 minutes. minutes
Q5.
Look at the table and find the missing percentage. 10 = % of 50
Q6.
Use the table to calculate the missing percentage. 125 = % of 500
