Fractions

1
Fractions
Egyptian Fractions
Using a to Find Fractions
Percentages
Using a to Finding a Percentage
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Percentage Increase and Decrease
Rates and Working out Rates
2
Starter Questions
S4
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2cm
3cm
10cm
3
Egyptian Fractions
S4
Learning Intention
Success Criteria

1. To understand the term Egyptian Fraction.

1. To understand what an Egyptian Fraction is and
   how to solve problems.

• Be able to solve
• Egyptian Fraction problems .

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4
How long ago is this?
Egyptian Fractions
S4
Egyptian Fractions were invented in 3000 BC
A Egyptian Fraction consists of 2 parts.
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5
Stored in the British Museum in London
Egyptian Fractions
S4
Egyptian Fractions were invented in 3000 BC
It was a 25 year old Scotsman, Henry Rhind who
brought the first evidence of Egyptian Fractions
to Britain.
He bought at a market in Luxor, Egypt, in 1858
papyrus scrolls that contained evidence of
fractions. These are called the
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Rhind Mathematical Papyrus
6
Egyptian Fractions
S4
Write down all the Egyptian Fractions you can see
below
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7
of means x
Egyptian Fractions
S4
How to calculate a fraction of a quantity.
of 120
of 120
x 120
x 120


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Simply divide the quantity by the bottom number
30
60
8
Egyptian Fractions
S4
Try these
75
70
40
5.06
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90
10.1
9
Egyptian Fractions
S4
Now try Ex 2.1 Ch5 Page 72
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10
Starter Questions
S4
20cm
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2cm
5cm
11
Calculator Fractions
S4
Q. Find of 1800
Calculator Keys
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Fractions of a quantity
S4
Learning Intention
Success Criteria

1. To know the 2 step for finding a fraction of a
   quantity.

1. To show how to use a calculator to calculate a
   fraction of a quantity.

1. Be able to calculate the fraction of a quantity.

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Calculator Fractions
S4
Q. Find of 142.50
Calculator Keys
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Calculator Fractions
S4
Q. Of 3500 people surveyed believed that
Globe Warming was not a serious problem. How
many people believed it was not a problem.
Calculator Keys
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Calculator Fractions
S4
Now try Ex 2.2 Ch5 Page 74
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16
Starter Questions
S4
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17
Percentages
S4
Learning Intention
Success Criteria

1. To understand the term percentage.

1. To explain what the term percentage means and how
   it is connected to Egyptian Fractions.

1. Understand connection between percentage, and
   Egyptian Fractions.

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3. Find a percentage of a quantity.
18
31 out of a 100
Percentages
S4
When a shape is divided into 100 bits each bit
is called 1 percent 1
31 means
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7 means
7 out of a 100
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Percentages
S4
The basic Percentages () are connected with the
Egyptian Fractions.
You have 1 minute to write down the basic
percentages and there equivalent fraction
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Percentages
S4
Answers
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Percentages
S4
Q. Change these percentages to fractions out of
a 100
Q. Change these fractions to percentages
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22
Percentages
S4
Q. Change these percentages to decimals.
Q. Change these decimals to percentages
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Percentages
S4
Q. Find 50 of 70
35
Q. Find 25 of 180
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45
24
Percentages
S4
Now try Ex 3.1 Ch5 Page 76
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25
Starter Questions
S4
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6cm
1cm
3cm
26
Percentages(Calculator)
S4
Learning Intention
Success Criteria

1. Use a calculator to find a percentage of a
   quantity.

1. To understand how to calculate a percentage of a
   quantity using a calculator.

1. Show all working.

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27
Remember money is always 2 decimal places
Percentages
S4
Q. Find 17 of 450
76.50
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Calculator Keys
28
Remember money is always 2 decimal places
Percentages
S4
Q. Find 4 of 70
2.80
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Calculator Keys
29
Calculator Fractions
S4
Q. 73 of 3600 people in a survey have brown
eyes. How many people have brown eyes.
Calculator Keys
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Percentages
S4
Now try Ex 3.2 Ch5 Page 78
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31
Starter Questions
S4
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32
PercentageIncrease / Decrease
S4
Learning Intention
Success Criteria

1. Understand terms increase /decrease for
   percentages.

1. To explain some simple increases and decreases
in percentages using shop prices.

1. Calculate simple increases / decreases in
   percentages.

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33
PercentageIncrease / Decrease
S4
Example 1 In a sale the cost of a jumper is
reduced by 10. What is the sale price of the
jumper.
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Original Price 35
Sale Price
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PercentageIncrease / Decrease
S4
Example 2 The total hours of sunshine in June
was 260. The total for July was 5 higher than
June.. What is the total hours of sunshine in
July.
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July Total Hours
35
Simple Percentages
S4
Now try Exercise 4.1 Ch5 Page 80
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36
Starter Questions
S4
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Rates
S4
Learning Intention
Success Criteria

1. To know the basic percentages.

1. To explain some more basic percentages.

1. Calculate basic percentage without a calculator.

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38
Rates
Example 1 Mick the mechanic hourly rate of
pay is 6.50. Last week he worked 5 hours. What
is his basic pay?
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6.50 x 5 32.50
Pay is
39
Rates
Example 2 Jim is a joiner his hourly rate of
pay is 10.50. He works 40 hours a week. What is
his basic pay?
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10.50 x 40 420.00
Pay is
40
Rates
Example 3 Wendy can type 300 words in 6
minutes. How many words does she type per minute.
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Words per minute
300 6 50 words
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Rates
Example 4 Six bags of crisps were bought for
2.10. How much for 1 bag of crisps.
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2.10 6 0.35
1 bag
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Rates
S4
Now try Ex 5.1 5.2 Ch5 Page 82
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