Percentages Conversion between % Fractions and Decimals Percentages using a calculator Percentage...
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Transcript of Percentages Conversion between % Fractions and Decimals Percentages using a calculator Percentage...
Percentages
Conversion between % Fractions and Decimals
Percentages using a calculator
Percentage rise (Increase)
Percentage fall (Decrease)
Percentage Increase / Decrease
Percentage Profit / Loss
One quantity as a Percentage of another
Percentages
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To understand the term To understand the term percentage.percentage.
1. To explain what the term percentage means and how it is connected to fractions and decimals. 2.2. Understand connection between Understand connection between
percentages, fractions and percentages, fractions and decimals.decimals.
PercentagesPercentages
It is common to express fractions using a denominator of a 100
means 7 %
31 out of a 100
7 out of a 100
means 31 %
Q. Write down the following as a fraction and a decimal.
27%
PercentagesPercentages
27100
27 100 0.27
15%15100
15 100 0.15
2%2
100 2 100 0.02
Convert these percentages to fraction and simply
PercentagesPercentages
15
20100
20%
34
75100
75%
35
60100
60%
Covert these fractions to percentages
PercentagesPercentages
110
1 10 100 10%
320
3 20 100 15%
45
4 5 100 80%
Sandra got 15 out of 20 in an maths exam.What percentage is this.
PercentagesPercentages
1520
15 20 100 75%
Franchesca got 45 out of 60 in her Maths examand Michael got 21 out of 30 in an English exam.Who got the best result.
PercentagesPercentages
4560 45 60 100 75%2130 21 30 100 70%
Franchesca has the best result.
Starter Questions
75200
1. Calculate 1200 300
2. Simplify
3. Find of 65
4. Find highest number that divides both 14 and 35 without leaving a remainder.
110
Percentages
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To know how to calculate a To know how to calculate a percentage using a calculator.percentage using a calculator.
1. To explain how to calculate a percentage of a quantity using a calculator.
2.2. Show working.Show working.
Remember money 2 decimal places
Q. Find 17% of £450
PercentagesPercentagesof
means multiple
17450
100
17 100 450
£ 76.50
Remember !! money 2 decimal places
Q. Find 4% of £70
PercentagesPercentagesof
means multiple
470
100
4 100 70
£ 2.80
Percentage Increase
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand terms increase for Understand terms increase for percentages.percentages.
1. To explain some simple increases in percentages using shop prices.
2.2. Calculate simple increases in Calculate simple increases in percentages.percentages.
Example 2Example 2
The total hours of sunshine in June was 260.The total hours of sunshine in June was 260.The total for July was 5% higher than June..The total for July was 5% higher than June..What is the total hours of sunshine in July.What is the total hours of sunshine in July.
260 100 5 = 13
PercentageIncrease / Decrease
260 13 = 273July Total Hours =
Example 1Example 1
In a sale the cost of a jumper is reduced by 10%.In a sale the cost of a jumper is reduced by 10%.What is the sale price of the jumper.What is the sale price of the jumper.
35 100 10 = £3.50
Percentage Fall (decrease)
Original Price£3535 3 50 = £31.50.Sale Price =
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To understand how to express To understand how to express ““A” as a percentage of “B”.A” as a percentage of “B”.
1. To understand how to express “A” as a percentage of “B”.
2.2. Solve problems in context.Solve problems in context.
Calculating PercentagesCalculating Percentages
Calculating PercentagesCalculating Percentages
Linda scored 45 out of 100 in a Maths test.Write her score as a fraction in it simplest form ?
Fraction = 45100
9=
20
What was her percentage score ?45 %
Calculating PercentagesCalculating Percentages
My council tax has gone up by £60. It was £300 before the increase.Calculate the council tax increase as a percentage ?
% Increase60
300100
60=
300 =20%
Increase = £60
Calculating PercentagesCalculating Percentages
My car has decreased in value to £3000. Before the decrease it was valued at £5000.Calculate the decrease as a percentage ?
% decrease20005000
1002000
=5000
=40%
Increase = 5000 – 3000 = £2000
Learning Intention Success Criteria
1. To know the meaning of the terms PROFIT and LOSS in terms of percentages..
1. To understand theterms profit and loss in terms of percentages.
2. Apply knowledge to calculations.
Profit and LossProfit and Loss
Profit and Loss
Profit : When you sell something for MORE than you bought it.
Loss : When you sell something for LESS than you bought it.
PROFIT = Selling Price – Buying Price
LOSS = Buying Price – Selling Price
Profit and Loss
If I buy a iPod for £200 and sell it for £220.What is my percentage profit.
£220 - £200 = £20I have made a PROFIT of
% increase = 20200
20= 100
200 =10%
Profit and Loss
I bought a bunch of flowers for £6.00 and tried to sell them for a profit. But I found it difficult to sell them. I sold them for £4.00
before they went off.
I made a LOSS of £6.00 - £4.00 = £2.00
% decrease = 2.006.00
2.00= 100
6.00
1=33 %
3
Calculating PercentagesCalculating Percentages
Example 1 : Daniel was paid £20 per week. He got a wage rise to £22 per week.
What was his percentage increase in pay ?
% increase = increase
original pay2
= ×10020 =10%
Actual Increase = £22 - £20 = £2A
B
Percentage Increase / Decrease
Calculating PercentagesCalculating Percentages
Example 2 : A house in Barlanark bought for £40 000 in 2001 was sold last week for £50 000. Calculate the percentage increase in value?
% increase = increase
original price10 000
= ×10040 000 =25%
Actual Increase = £50 000 - £40 000= £10 000
A
B
Percentage Increase / Decrease