1. So far… Multiplying and Dividing Fractions
Expressing one quantity as a fraction of another
Finding the fraction of a quantity
Finding the whole quantity (given fractions)
Changing between fractions, decimals and percentages
FOCUS was on  FRACTIONS
NEW FOCUS  PERCENTAGES

2. % % % % % % % % %
What is a Percentage? % % % % % % % %

3. A Percentage is a Fraction ALL OVER 100
25 % =
Percent sign
Percentage
(Number & Percent sign)

4. Where do we use percentages in everyday life?

5. %
Shops

6. %
Clothes

7. %
Weather
“80% chance of showers”

8. %
School
85% Test Score
100% Attendance

9. %
Savings
rate of interest or
interest rate

10. %
Football

11. %
Football
Ball possession
40%
60%

12. %
Food

13. %
Business
% Profits
% Costs
% Orders

14. %
Road signs 1 10

15. Percentages Learning Objectives: To learn how percentages are used in
everyday situations.
To use one percentage to find the other

16. 100 % = = 1 , means ALL ! What does 100% mean?
If I get 100% in an exam , I got ALL the questions right.
If 100% of the t-shirt is cotton , it is ALL cotton!
If I ate 100% of the pizza , I ate ALL of the pizza!

17. More than 100%? is more than 1 whole...
There is nothing wrong with using percentages greater than 100%. Whether this makes sense depends on the context. A percentage is simply another way of writing a fraction with a denominator of 100. For example, 6% = 6/100. Just as you can have an improper fraction (a fraction whose numerator is greater than the denominator), such as 4/3, so you can have what we might call an "improper percentage" like 120% or 300%. For instance, "The Math Doctors answered 146% of all the questions received last month." This makes no sense because if we received 5061 questions, we couldn't possibly answer more than all of them. But if we are talking about an increase in value. Let’s say the cost of a house went up by 20%. This means that the house’s cost is now 120% when compared to its original value which is 100%

18. 100% = ALL
A sweater is made from 70% acrylic. The rest is wool. What percentage is wool?
30%
82% of apples in a box are good, ripe apples. What percentage of apples are not fit to eat?
18%
83% of the students in a school are present. What percentage are absent?
17%

19. 100% = ALL
A jumper is made from a mixture of wool and viscose. It is 60% wool. What is the percentage of viscose?
40%
A skirt is 60% wool, 20% angora and the rest is polyamide. What percentage is polyamide?
20%
Brass is made up of 66 2/3 % copper. The rest is zinc. What percentage is zinc?
33 1/3%

20. Easy Classwork
Pg 76 Exercise 4g 1-5

21. 1. In a box of oranges, 8% are bad. What percentage are good?
100 – 8 = 92%

22. 2. Twelve percent of the cars that come to a road-worthiness testing station fail to pass the first time. What percentage pass first time?
100 – 12 = 88%

23. 3. A hockey team won 62% of their matches and drew 26% of them
3. A hockey team won 62% of their matches and drew 26% of them. What percentage did they lose?
= – 88 = 12%

24. 4. Deductions from a youth’s wage were: income tax 18%, other deductions 14%. What percentage did he keep?
= – 32 = 68%

25. 5. In an election, 8% failed to vote, 40% of the electorate voted for Mrs Long, 32% for Mr Singh and the remainder voted for Miss Berry. If there were only three candidates, what percentage voted for Miss Berry?
= – 80 = 20%