16-Aug-15Compiled by Mr. Lafferty Maths Dept. Fractions Egyptian Fractions Using a to Find...

19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

FractionsFractionsw

ww

.math

srevis

ion

.com Egyptian Fractions

Using a to Find Fractions

Using a to Finding a Percentage

Percentage Increase and Decrease

Percentages

Rates and Working out Rates


1. Calculate 35.7 - 19.8

2. Calculate

(a) 24.5 1000 (b) 83.4 100

(c) 45.3 1000 (d) 0.087 100

3 Find the volume of the cuboid.

4. I get paid £45 for 5 hours work. What is my hourly rate.

Starter QuestionsStarter Questionsw

ww

.math

srevis

ion

.com

S4

10cm3cm

2cm


Egyptian Egyptian FractionsFractions

ww

w.m

ath

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To understand the term To understand the term Egyptian Fraction. Egyptian Fraction.

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

2.2. Be able to solve Be able to solve Egyptian Fraction Egyptian Fraction problems .problems .

S4

19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

w.m

ath

srevis

ion

.com

Egyptian Fractions were invented in 3000 BC

S4


How long ago is this?

A Egyptian Fraction consists of 2 parts.

15

Top number ALWAYS 1 is called the numerator

Bottom number is called the denominator


w.m

ath

srevis

ion

.com

Egyptian Fractions were invented in 3000 BCS4


It was a 25 year old Scotsman, Henry Rhind who brought the first evidence of Egyptian Fractions to Britain.

Rhind Mathematical Papyrus

He bought at a market in Luxor, Egypt, in 1858 papyrus scrolls that contained evidence of fractions. These are called the

Stored in the British Museum in

London


w.m

ath

srevis

ion

.com

81

S4


51

17

23

13

501001

21

100

24

34

Write down all the Egyptian Fractions you can see below:


w.m

ath

srevis

ion

.com

How to calculate a fraction of a quantity.

12

of 12014 of 120

Simply divide the quantity by the bottom number

2 120 4 120

S4


60 30

=12

x 120 x 12014

=

‘of’ means ‘x’


w.m

ath

srevis

ion

.com Try these

1 of 150

2

S4


1 of 360

9

1 of 450

5

1 of 210

3

1 of 30.36

6

1 of 50.5

5

75

40

90

70

5.06

10.1


Now try Ex 2.1Ch5 Page 72

ww

w.m

ath

srevis

ion

.com

S4



1. Calculate 24.3 - 12.5

2. Calculate

(a) 0.07 100 (b) 0.4 100

(c) 45.3 1000 (d) 1.087 100

3 Find the volume of the cuboid.

4. I get paid £6.50 for 40 hours work. What is my hourly rate.


ww

.math

srevis

ion

.com

S4

20cm

2cm5cm


w.m

ath

srevis

ion

.com Q. Find of £1800

Calculator FractionsCalculator Fractions

160

Calculator Keys

1 0 = 308 0 6

S4


Fractions of a Fractions of a quantityquantity

ww

w.m

ath

srevis

ion


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

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

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

S4


w.m

ath

srevis

ion

.com Q. Find of £142.50


119

Calculator Keys

1 2 = 7.54 . 1

S4

5


w.m

ath

srevis

ion

.com

Q. Of 3500 people surveyed believed that Globe Warming was not a serious problem.

How many people believed it was not a problem.


125

Calculator Keys

3 0 = 1405 0 2

S4



ww

w.m

ath

srevis

ion

.com

S4




ww

.math

srevis

ion

.com

1.

2. What is my hourly rate if I earn £40 for 8 hours work.

3. Calculate 24.4 - 15.9

4. 690 1000

1 of 1563

S4


PercentagesPercentagesw

ww

.math

srevis

ion


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 Egyptian Fractions.

2.2. Understand connection Understand connection between percentage, and between percentage, and Egyptian Fractions.Egyptian Fractions.

3.3. Find a percentage of a Find a percentage of a quantity.quantity.

S4


w.m

ath

srevis

ion

.com

PercentagesPercentages

When a shape is divided into100 ‘bits’ each bit is called

“ 1 percent” = 1%

31 % means31

=0.31100

7 % means7

=0.07100

31 out of a 100

7 out of a 100

S4


w.m

ath

srevis

ion

.com The basic Percentages (%)

are connected with the Egyptian Fractions.

PercentagesPercentagesS4

You have 1 minute to write downthe basic percentages and there

equivalent fraction


w.m

ath

srevis

ion

.com


Answers

110%

10

120%

5

125%

4

1 133 %

3 3

150%

2

11%

100


w.m

ath

srevis

ion

.com Q. Change these percentages to fractions out of a 100

70%60100


60%

S4

70100

Q. Change these fractions to percentages

=90%30100

=30%90100


w.m

ath

srevis

ion

.com Q. Change these percentages to decimals.

30%= 50 ÷ 100 = 0.5


50%

S4

30 100 =0.3

Q. Change these decimals to percentages

0.75 =0.75 x 100 =75%

0.1 =0.1 x 100 =10%


w.m

ath

srevis

ion

.com Q. Find 50% of 70

1=

2


50%

S4

Q. Find 25% of 180

= 2 7035

1=

425% = 4 180

45



ww

w.m

ath

srevis

ion

.com




ww

.math

srevis

ion

.com

1. Find the area and perimter of a square with length 3 cm.

2. Calculate 20% of £300

3. Find the volume of the cuboid.

S4

1cm3cm

6cm


w.m

ath

srevis

ion


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

1. To understand how to calculate a percentage of a quantity using a calculator. 2.2. Show all working.Show all working.

PercentagesPercentages(Calculator)(Calculator)

S4



Remember money is always 2

decimal places

ww

w.m

ath

srevis

ion

.com Q. Find 17% of £450

450 100 x 17 = £76.50

Calculator Keys

4 0 x =5 1 0 1 7

S4



Remember money is always 2

decimal places

ww

w.m

ath

srevis

ion

.com Q. Find 4% of £70

70 100 x 4 = £2.80

Calculator Keys

0 x =7 1 0 4

S4


w.m

ath

srevis

ion

.com

Q. 73% of 3600 people in a survey have brown eyes. How many people have brown eyes.

Calculator FractionsCalculator FractionsS4

Calculator Keys

6 0 x =5 1 0 7 33



ww

w.m

ath

srevis

ion

.com




ww

.math

srevis

ion

.com

15

100

1. Calculate 45.6 x 7

2. Write the fraction as a percentage

3. Find 20% of 700

4. 4 jars of sweets cost £2.40.

How much for 3 jars.

S4


PercentagePercentageIncrease / DecreaseIncrease / Decrease

ww

w.m

ath

srevis

ion


1.1. Understand terms increase Understand terms increase /decrease for percentages./decrease for percentages.

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

2.2. Calculate simple increases Calculate simple increases / decreases in / decreases in percentages.percentages.

S4

Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Deptw

ww

.math

srevis

ion

.com

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


S4

Original Price£3535 3 50 = £31.50.Sale Price =

Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Deptw

ww

.math

srevis

ion

.com

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


S4

260 13 = 273July Total Hours =


Now try Exercise 4.1

Ch5 Page 80

ww

w.m

ath

srevis

ion

.com

Simple Simple PercentagesPercentages

S4



ww

.math

srevis

ion

.com

75200

1. Calculate 1200 300

2. Simplify

3. Find 10% of 65

4. Find LCM and HCF for 7 and 35

S4


w.m

ath

srevis

ion


1.1. To know the basic To know the basic percentages.percentages.

1. To explain some more basic percentages.

2.2. Calculate basic percentage Calculate basic percentage without a calculator.without a calculator.

S4

RatesRates

19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

£6.50 x 5 = £32.50£6.50 x 5 = £32.50Pay is = Pay is =

ww

w.m

ath

srevis

ion

.com Example 1 :

Mick the mechanic hourly rate of pay is £6.50.Last week he worked 5 hours. What is his basic pay?

RatesRates


£10.50 x 40 = £420.00£10.50 x 40 = £420.00Pay is = Pay is =

ww

w.m

ath

srevis

ion

.com 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?

RatesRates


300 300 ÷÷ 6 = 50 words 6 = 50 words

Words per minuteWords per minute

ww

w.m

ath

srevis

ion

.com

Example 3 :

Wendy can type 300 words in 6 minutes.How many words does she type per minute.

RatesRates


£2.10 ÷ 6 = £0.35£2.10 ÷ 6 = £0.351 bag = 1 bag =

ww

w.m

ath

srevis

ion

.com

Example 4 :

Six bags of crisps were bought for £2.10.How much for 1 bag of crisps.

RatesRates


Now try Ex 5.1 & 5.2

Ch5 Page 82

ww

w.m

ath

srevis

ion

.com

S4RatesRates

Date post:	24-Dec-2015
Category:	Documents
Upload:	erin-cole
View:	213 times
Download:	0 times

16-Aug-15Compiled by Mr. Lafferty Maths Dept. Fractions Egyptian Fractions Using a to Find...

Documents