3-Sep-15Compiled by Mr. Lafferty Maths Dept. Fractions Simplifying Fractions Fractions of a quantity Finding a Percentage (Calculator)

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

FractionsFractionsw

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Fractions of a quantity

Finding a Percentage (Calculator)

Finding (Simple) Percentages

Percentages

More Simple Percentages

MNU 2-07aMNU 2-07b


1. Find the missing value

2. What fraction is x:

3. What is the coordinate C(- 2,- 2) reflected in the x- axis?

4. I f you know the length of the side of a square describe in words what y

3 ?=4 20

ou do to calculate the perimeter.

Starter Starter QuestionsQuestions

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X

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FractionsFractionsw

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1.1. To know what the terms To know what the terms fraction.fraction.

1. To understand theterm Fraction and be able to simplify fraction.

2.2. Be able to simply fractions.Be able to simply fractions.

MNU 2-07aMNU 2-07b

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

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A Fraction consists of 2 parts.

3

5

Top number is called the numerator

Bottom number is called the denominator

FractionsFractionsMNU 2-07aMNU 2-07b


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Write down the fraction that is shaded in light blue.

24

36



w.m

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fraction that you have by multiplying the numeratorand the denominator by any number.

24

15

Find a fraction equivalent to :

x3

x3

612

210

x2

x2



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between the numerator and denominator.

24

312

Simplify the fractions below :

÷2

÷2

12

14

÷3

÷3



Now try Exercise 1Ch6 Q8

(page 69)

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Starter QuestionsStarter Questionsw

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2. Simplify

3. 25.92 + 7.9

4.

1284

1 of 124

5cm

7cm

MNU 2-07aMNU 2-07b


Fractions of a Fractions of a quantityquantity

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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 explain the 2 step process of finding 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.

MNU 2-07aMNU 2-07b


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12


of 12014

of 120

Simply divide by the bottom number

602 120

304 120

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23


of 24

Simply divide by the bottom numberThen multiply the answer by the top number

83 24 8 x 2 = 16Step 1: Step 2:

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58


of 360

Simply divide by the bottom numberThen multiply the answer by the top number

458 360 45 x 5 = 225Step 1: Step 2:

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Now try Exercise 2Ch6 Q3, 4, 5

(page 70)

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of 120

1. Find the LCM of 2 and 3

2. Find HCF of 4 and 1

3. Find

4. Simplify

45

85200

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PercentagesPercentagesw

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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 a fraction and a decimal.

2.2. Understand connection Understand connection between percentage, between percentage, fraction and decimal.fraction and decimal.

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

MNU 2-07aMNU 2-07b


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PercentagesPercentages

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

“ 1 percent”

31 % means31

=0.31100

7 % means7

=0.07100

31 out of a 100

7 out of a 100

MNU 2-07aMNU 2-07b


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27%

2%

15%

2=0.02

100

27=0.27

100

15=0.15

100

PercentagesPercentagesMNU 2-07aMNU 2-07b


w.m

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710

Simply do the division then multiply by 100

0.52 1.0

0.5 x 100 = 50%

Step 1:

Step 2:


12

0.710 7.0

0.7 x 100 = 70%

Step 1:

Step 2:

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and36 out of 40 in Maths. Find percentage of each and say

whichhe is best at?Simply do the division then multiply by 100

2430

0. 8x 100 = 80%

Step 1:

Step 2:


3640

0.9 x 100 = 90%

Step 1:

Step 2:

Maths

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Now try Exercise 3Ch6 (page 71 Q4,

5)

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

2. Calculate 60% of £300

3. Write 35% as a fraction and a decimal.

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1.1. Use a calculator to Use a calculator to calculator.calculator.

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

2.2. Show all working.Show all working.

PercentagesPercentages(Calculator)(Calculator)

MNU 2-07aMNU 2-07b


Remember money 2

decimal places

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Q. Find 17% of £450

17 100 x 450


17 450

100

= £76.50

of means times

Calculator Keys

1 1 x 4 = 76.57 0 0 5 0

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Remember money 2 decimal

places

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Q. Find 4% of £70

4 100 x 70


4 70

100

= £2.80

of means times

Calculator Keys

1 x 7 = 2.84 0 0 0

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Now try Exercise 4Ch6 (page 72)

First Column ONLY

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15

100

1. Calculate 45.6 x 7

2. Simplify

3. Find 20% of 700

4. Find LCM and HCF for 4 and 20

MNU 2-07aMNU 2-07b


Simple Simple PercentagesPercentages

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1.1. To know the simple To know the simple percentages.percentages.

1. To explain some simple percentages.

2.2. Calculate simple Calculate simple percentage without a percentage without a calculator.calculator.

MNU 2-07aMNU 2-07b


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Copy down and learn the following basic percentages


100% 50%1

33 %3 25% 20% 10% 5% 1%

112

13

14

15

110

120

1100

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Q. Find 25% of £40


1 40

4

40 ÷4 =10

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Q. Find 5% of £300


1 300

20

300 ÷20 =15

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Columns ONLY

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75200

1. Calculate 1200 300

2. Simplify

3. Find 10% of 65

4. Find LCM and HCF for 7 and 35

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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.

MNU 2-07aMNU 2-07b


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Copy down and learn the following basic percentages


100% 50%1

33 %3

266 %

3 20% 40%60% 80%

112

13

23

15

25

35

45

10% 30%70% 90%

110

310

710

910

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Q. Find 30% of £40


3 40

10

40 ÷10 x 3 =12

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Q. Find 75% of £600


3 600

4

600 ÷4 x 3 =450

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Columns ONLY

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MNU 2-07aMNU 2-07b

Documents

3-Sep-15Compiled by Mr. Lafferty Maths Dept. Fractions Simplifying Fractions Fractions of a quantity Finding a Percentage (Calculator)