1. Year 6 (National Numeracy Strategy) (Based on DFEE Sample Lessons)
Dr Fog Presents
The idea of
percentage
reductions in
shop prices.
Year 6 (National Numeracy Strategy)
(Based on DFEE Sample Lessons)

2. Resources
None

3. Mental Learning Objective
Understand percentage as a fraction of 100.

4. Mental Learning Task Today we are going to learn about percentages.
Today you will show your teacher how much you already know about them.

5. Mental Learning Task Where have you encountered percentages?
What does the word mean?

6. Mental Learning Task
What does this symbol mean? %

7. Mental Learning Task
You will have met the word ‘per’ before as in ‘miles per hour’ or ‘£3 per day’.
What does ‘per’ mean?

8. Mental Learning Task
‘Per’ means…..
for
every

9. Mental Learning Task So miles per hour means miles for every hour.
£3 per day means for every day.

10. Mental Learning Task What about the word ‘cent’
Where have you met that before?
What other words have ‘cent’ in it?

11. Mental Learning Task For every hundred So if the word per means
So if the word cent means
hundred
What does Percent mean?

12. Mental Learning Task
Percent means
For every
hundred

13. Mental Learning Task
Now lets try to solve a few percent problems.

14. Mental Learning Task 100 % of the class is here today.
How many is that?

15. Mental Learning Task
Suppose 50%
had flu.
How many would that
be?

16. Roughly what percentage
Mental Learning Task
Suppose 15 of you
were planning to go
to the zoo.
Roughly what percentage
of the class is that?

17. Roughly what percentage
Mental Learning Task
Suppose only 3 of you
were planning to go
to the zoo.
Roughly what percentage
of the class is that?

18. Mental Learning Objective
Understand percentage as a fraction of 100.

19. Main Learning Objective
Express simple fractions as percentages and vice versa.
Find simple percentages of quantities involving numbers up to three digits.

20. Key idea
'Per cent'
means
'Out of a hundred'

21. Main Learning Task Today we are going to look at reductions in prices.
When do you find sales in shops?
Is 10% reduced more or less than the original price?

22. Main Learning Task Suit £100 T-shirt £10 Skirt £15 Jeans £30
Socks £1.50
Shoes £40
If all these goods are reduced by 10%, how much is taken off the price?
What price are the goods now?

23. Main Learning Task Suit £100 T-shirt £10 Skirt £15 Jeans £30
Socks £1.50
Shoes £40
How could we work out 10% of the sum of money?

24. Main Learning Task
Remember that 10 per cent means 10 out of every 100.
So here it could be £10 out of every £100 or 10p out of every 100p.
So it is 10p out of every pound.

25. Main Learning Task 10p out of 100p is the same as 1 out of every 10.
This is called one tenth.

26. Main Learning Task Suit £100 T-shirt £10 Skirt £15 Jeans £30
Socks £1.50
Shoes £40
So for the suit, the amount taken off is £10.
How much is taken off the other goods?
What are the final prices?

27. Main Learning Task Suit £100 T-shirt £10 Skirt £15 Jeans £30
Socks £1.50
Shoes £40
The goods don’t sell so next week they are all marked at 20 per cent off.

28. Main Learning Task To reduce something by 20% of an amount…
You could use the fact that 20% is 20 out of 100 or 2 out of ten.
You could find 10% off and double it.

29. Main Learning Task Suit £100 T-shirt £10 Skirt £15 Jeans £30
Socks £1.50
Shoes £40
Work in pairs.
At 20% off…
How much would you save?
How much would each of the goods cost?

30. Main Learning Task Suit £100 T-shirt £10 Skirt £15 Jeans £30
Socks £1.50
Shoes £40
As a last effort to get rid of the goods, they are marked at 25 per cent off.

31. Main Learning Task Discuss in pairs how to find 25% of amounts.
You could find 10% then double it to find 20% and add half of 10%.
Or half 50 and halve again.

32. Main Learning Task Suit £100 T-shirt £10 Skirt £15 Jeans £30
Socks £1.50
Shoes £40
Work in pairs.
At 25% off…
How much would you save?
How much would each of the goods cost?

33. Main Learning Task Simplification:- Model the amounts using coins.
If necessary work with 10% only.
Challenge:- Work out 15%, 5% 17 ½ % or other percentages.

34. Main Learning Objective
Express simple fractions as percentages and vice versa.
Find simple percentages of quantities involving numbers up to three digits.

35. Plenary
Discuss the answers the class obtained for each set of problems.
Can you find 10% of £20?
What is 30% of £20?

36. Plenary How would you find 17 ½ % of an amount such as £200?
You could find 10% then halve it to get 5% and then halve it again to get 2.5% and then add these together.

37. Plenary Divide the class into groups.
Ask each group to choose one of the following percentages.
10% 5%
15%
20%
50%

38. Plenary
When you say a quantity and point to a group, every pupil in that group calls out the appropriate percentage of that quantity.
After a while, change the groups around.
Extend by substituting fractions such as 0.1 or 1/10 for percentages

39. Review of Key Idea ‘Per cent’ means ‘out of hundred’
Did you learn this today?

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