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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

Starter Questions

S4

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2cm

3cm

10cm

Egyptian Fractions

S4

Learning Intention

Success Criteria

- To understand the term Egyptian Fraction.

- To understand what an Egyptian Fraction is and

how to solve problems.

- Be able to solve
- Egyptian Fraction problems .

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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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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

Egyptian Fractions

S4

Write down all the Egyptian Fractions you can see

below

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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

Egyptian Fractions

S4

Try these

75

70

40

5.06

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90

10.1

Egyptian Fractions

S4

Now try Ex 2.1 Ch5 Page 72

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Starter Questions

S4

20cm

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2cm

5cm

Calculator Fractions

S4

Q. Find of 1800

Calculator Keys

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Fractions of a quantity

S4

Learning Intention

Success Criteria

- To know the 2 step for finding a fraction of a

quantity.

- To show how to use a calculator to calculate a

fraction of a quantity.

- 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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Starter Questions

S4

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Percentages

S4

Learning Intention

Success Criteria

- To understand the term percentage.

- To explain what the term percentage means and how

it is connected to Egyptian Fractions.

- Understand connection between percentage, and

Egyptian Fractions.

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3. Find a percentage of a quantity.

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

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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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

Percentages

S4

Now try Ex 3.1 Ch5 Page 76

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Starter Questions

S4

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6cm

1cm

3cm

Percentages(Calculator)

S4

Learning Intention

Success Criteria

- Use a calculator to find a percentage of a

quantity.

- To understand how to calculate a percentage of a

quantity using a calculator.

- Show all working.

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Remember money is always 2 decimal places

Percentages

S4

Q. Find 17 of 450

76.50

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Calculator Keys

Remember money is always 2 decimal places

Percentages

S4

Q. Find 4 of 70

2.80

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Calculator Keys

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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Starter Questions

S4

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PercentageIncrease / Decrease

S4

Learning Intention

Success Criteria

- Understand terms increase /decrease for

percentages.

1. To explain some simple increases and decreases

in percentages using shop prices.

- Calculate simple increases / decreases in

percentages.

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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

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

Simple Percentages

S4

Now try Exercise 4.1 Ch5 Page 80

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Starter Questions

S4

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Rates

S4

Learning Intention

Success Criteria

- To know the basic percentages.

1. To explain some more basic percentages.

- Calculate basic percentage without a calculator.

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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

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

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

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

Rates

S4

Now try Ex 5.1 5.2 Ch5 Page 82

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