1. Fractions Decimals Percentages
What is a Percentage
Conversion between % Fractions and Decimals
Finding Basic Percentages using Fractions
Finding a Percentage with a Calculator
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

2. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
7 x 8
56 x 7
480 ÷ 4
Write ½ as a decimal
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

3. Compiled by Mr. Lafferty Maths Dept.
Percentages
Learning Intention
Success Criteria
We are learning what the term percentage means and how it is connected to a fraction and a decimal.
To understand the term percentage.
Understand connection between percentage, fraction and decimal.
3. Find a percentage of a quantity.
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

4. Percentages www.mathsrevision.com 16 out of a 100
When a shape is divided into
100 ‘bits’ each bit is called
“ 1 percent” 16
100
16 % means
= 0.16 40
100
40 % means
= 0.40
40 out of a 100
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

5. Write down the percentage , fraction, and decimal for each colour.
Brown
Blue
36 %
28 % 36
100 28
100
= 0.36
= 0.28
White
36 % 36
100
= 0.36

6. Write down the percentage , fraction, and decimal for each colour.
Blue
Green
20 %
12 % 20
100 12
100
= 0.20
= 0.12
White
68 % 68
100
= 0.68

7. Created by Mr. Lafferty Maths Dept.
Percentages
Now try TJ2a
Ex 1
Ch12 (page 107)
4-Jan-18
Created by Mr. Lafferty Maths Dept.

8. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

9. Compiled by Mr. Lafferty Maths Dept.
Percentages
Learning Intention
Success Criteria
1. We are learning to convert a fraction to a percentage and use them in context.
To know how to convert a fraction to a percentage.
Be able to compare percentages in context.
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

10. Percentages 0.75 75% Converting a fraction to a percentage
Do the division
x 100
Fraction
Decimal
Percentage
Do the division
x 100
0.75
75%
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

11. Percentages Write the following fractions as percentages.
Comparing Percentages
Write the following fractions as percentages.
= 27%
= 15%
= 29%
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

12. Compiled by Mr. Lafferty Maths Dept.
Percentages
Paul scored :
24 out of 30 in English and 36 out of 40 in Maths.
By finding the percentage score for each, which is his
best subject ?
English
Maths
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

13. Created by Mr. Lafferty Maths Dept.
Percentages
Now try TJ2a
Ex 2
Ch12 (page 109)
4-Jan-18
Created by Mr. Lafferty Maths Dept.

14. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

15. Compiled by Mr. Lafferty Maths Dept.
Percentages
Without a Calculator
Learning Intention
Success Criteria
We are learning how to calculate a percentage without a calculator.
To understand the process of how to calculate a percentage without a calculator.
Be able to calculate a percentage without a calculator.
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

16. Compiled by Mr. Lafferty Maths Dept.
Percentages
Without a Calculator
To working out a simple percentage it is easier to
use the fraction equivalent. We will concentrate on
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

17. Compiled by Mr. Lafferty Maths Dept.
“of”
means multiple
Percentages
Without a Calculator
Find 25% of £40
1 0 =
= 10
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

18. Compiled by Mr. Lafferty Maths Dept.
Percentages
Without a Calculator
Find 50% of £250
½ x 250 =
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

19. Compiled by Mr. Lafferty Maths Dept.
Percentages
Without a Calculator
Find 10% of £690 1 10
x 690 =
= 690 ÷ 10
= 69
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

20. Created by Mr. Lafferty Maths Dept.
Percentages
Now try TJ2a
Ex 3
Ch12 (page 110)
4-Jan-18
Created by Mr. Lafferty Maths Dept.

21. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

22. Compiled by Mr. Lafferty Maths Dept.
Percentages
With a Calculator
Learning Intention
Success Criteria
1. We are learning to calculate a percentage of a quantity using a calculator.
To know how to calculate a percentage using a calculator.
Show working.
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

23. Compiled by Mr. Lafferty Maths Dept.of
means multiple
Percentages
With a Calculator
Find 17% of £450 17
100
x 450
= 76.5
Remember money
2 decimal places
= £76.50
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

24. Compiled by Mr. Lafferty Maths Dept.
Percentages
With a Calculator
Find 4% of £70 4
100
x 70
Remember !! money
2 decimal places
= 2.8
= £2.80
4-Jan-18
Compiled by Mr. Lafferty Maths Dept.

25. Percentage 4 6 15 100 x 40 = 4 www.mathsrevision.com Total Points =
Example Last year a football team got 40 points
in the League. This year they got 15% more.
How many points did they get. 15
100
x 40
= 4
Total Points =
4 6
Created by Mr. Lafferty
Maths Dept

26. Percentage 9 100 x 90000 = £8100 £ 8 1 9 0 0 www.mathsrevision.com
Example
Last year a house was valued at £90000.
This year the price dropped by 9%.
What was the price this year ? 9
100
x 90000
= £8100
New Price £
Created by Mr. Lafferty
Maths Dept

27. Percentages Now try TJ2a Ex 4 Ch12 (page 111) www.mathsrevision.com
Have you updated your Learning Log ?
Percentages
Comparing Percentages
Now try TJ2a
Ex 4
Ch12 (page 111)
4-Jan-18
Created by Mr. Lafferty Maths Dept.