New
New
Year 6
Solve problems involving percentages in a range of contexts
I can solve problems involving percentages in a range of contexts.
New
New
Year 6
Solve problems involving percentages in a range of contexts
I can solve problems involving percentages in a range of contexts.
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Lesson details
Key learning points
- If I know the value of the whole, I can calculate the value of a part.
- If I know the value of a part, I can calculate the value of the whole.
- 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
When finding a price has reduced by 25%, pupils may give the answer as 25% of the number, rather than seeing it as 75% of the whole.
Emphasise that '25% off' means that the price has been reduced by 25%. The whole, subtract 25%, is equal to 75% of the whole. Bar models are useful for showing this.
In this lesson, pupils solve a range of problems using percentages, including problems with an unknown part or an unknown whole. Encourage pupils to use tables to help them organise their thinking and, where needed, represent problems using bar models.
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.
Match each percentage amount to the value of 100% e.g. If 10% = 1.8 then 100% = ___
100% = 18
100% = 140
100% = 165
100% = 270
Q2.
What is the new price of the sunglasses? £
Q3.
What is the new price of the hat? £
Q4.
Which item is the most expensive?
The sunglasses
Q5.
What was the original price of this T-shirt? £
Q6.
What was the original price of this T-shirt? £
Exit quiz
Download exit quiz
6 Questions
Q1.
If 100% = 1,100 match these percentages to the answers.
110
55
165
440
990
Q2.
Work out the new price of the toy robot. £
Q3.
Work out the new price of the toy panda. £
Q4.
Lucas thinks of a number and says that 4% of his number is 160 What is his number?
Q5.
Sofia has read 70% of her book which is 210 pages. How long is her book in total? pages
Q6.
Laura has cycled for 72 km which is 75% of her race. The total length of the race is km