num 13-dec-15compiled by mr. lafferty maths dept. fractions decimals percentages conversion between...

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Num 20 Jun 2022 20 Jun 2022 Compiled by Mr. Lafferty Maths Compiled by Mr. Lafferty Maths Dept. Dept. Fractions Decimals Fractions Decimals Percentages Percentages www.mathsrevision.com Conversion between % Fractions and Decimals Finding a Percentage with a Calculator Percentage Rising Percentage Fall

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Page 1: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Fractions Decimals Fractions Decimals PercentagesPercentages

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Finding a Percentage with a Calculator

Percentage Rising

Percentage Fall

Page 2: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Starter QuestionsStarter Questionsw

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14

1. Calculate 45.6 x 7

2. Write the fraction as a percentage

3. Calculate 2 + 3 4

4. 4 jars of sweets cost £2.40.

How much for 3 jars.

Page 3: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Percentagesw

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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know how to convert a To know how to convert a fraction / decimal to a fraction / decimal to a percentage.percentage.

1. We are learning to convert a fraction / decimal to a percentage and use them in context.

2.2. Be able to compare Be able to compare percentages in context.percentages in context.

Comparing Percentages

Page 4: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

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.com Converting a fraction to a percentage

PercentagesPercentagesComparing Percentages

Fraction Decimal Percentage

Do the division x 100

3

40.75 75%

Do the division x 100

Page 5: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Convert these percentages to fraction and simply

PercentagesPercentages

15

20100

20%

34

75100

75%

35

60100

60%

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Page 6: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

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.com Write the following percentages as a fraction.

17% =

81% =

PercentagesPercentagesComparing Percentages

17100

81100

40 2100 5

40% =

Page 7: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Covert these fractions to percentages

PercentagesPercentages

110

1 10 100 10%

320

3 20 100 15%

45

4 5 100 80%

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Page 8: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

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.com Write the following fractions as percentages.

= 27%

= 29%

= 15%

58 200 100

27 100 100

3÷20 100

PercentagesPercentagesComparing Percentages

27100

320

58200

Page 9: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

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Paul scored :24 out of 30 in English and 36 out of 40 in Maths.

By finding the percentage score for each, which is his

best subject ?

24

30 100 =

PercentagesPercentages

36

40 100 =

English Maths

80% 90%

Comparing Percentages

Page 10: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try Lifeskills

Ex 1Ch3 (page 23)

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PercentagesPercentagesComparing Percentages

Page 11: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Starter Questionsw

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.com 1. Find the area and perimeter of a square

with length 3 cm.

2. 4.56 + 2.36 - 1.2

3. Find an equivalent fraction

with denominator 100 for .1

20

Page 12: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Percentagesw

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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know how to calculate a To know how to calculate a percentage using a percentage using a calculator.calculator.

1. We are learning to calculate a percentage of a quantity using a calculator.

2.2. Show working.Show working.

With a Calculator

Page 13: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Remember money

2 decimal places

Find 17% of £450

PercentagesPercentagesof

means multiple

17 450100

17 100 450

£ 76.50

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With a Calculator

Page 14: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Remember !! money

2 decimal places

Find 4% of £70

PercentagesPercentages

4 70100

4 100 70

£ 2.80

With a Calculator

Page 15: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try Lifeskills

Ex 2Ch3 (page 24)

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PercentagesPercentagesWith a Calculator

Page 16: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Starter Starter QuestionsQuestions

Q1. Write these perecentages as decimals.

(a) 75% (b) 12.5% (c) 60%

Q2. Find 30% of £ 400.

Q3. Find the area of the shape.

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8cm

10cm

Page 17: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Understand term Understand term percentages rise.percentages rise.

1. We are learning percentages rise using context.

2.2. Calculate percentage rise.Calculate percentage rise.

Percentage RisePercentage Rise

Page 18: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Dept

Percentage RisePercentage Risew

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5 260 = 13

100

260 13 = 273July Total Hours =

ExampleExample Total hours of sunshine in June was 260.otal 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.

Page 19: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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Percentage RisePercentage Risew

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15 40 =

100

40 6 = 46Total Points =

ExampleExample Last year a football team got 40 points in the League. This year they got 15% more.How many points did they get.How many points did they get.

6

Page 20: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Now try Lifeskills

Ex 3Ch4 (page 26)

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Percentage RisePercentage Rise

Page 21: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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Starter Questionsw

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35

100

1. Calculate 88.37x 9

2. Write the fraction as a percentage

3. Find 60% of 900

4. 5 jars of sweets cost £6.50.

How much for 4 jars.

Page 22: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Percentage Fall (Decrease)

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1.1. Understand terms Understand terms percentage fall.percentage fall.

1. We are learning percentage fall in context.

2.2. Calculate percentages fall.Calculate percentages fall.

Page 23: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Dept

Percentage Fall (decrease)

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ExampleExample

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.

10 100 35 =

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

£3.50

Page 24: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Dept

Percentage Fall (decrease)

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ExampleExampleLast year a house was valued at £90000.Last year a house was valued at £90000.This year the price dropped by 15%.This year the price dropped by 15%.What was the price this year ?What was the price this year ?

9 90000 =

100

90000 8100 = £81900Price =

£8100

Page 25: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages  Conversion between % Fractions and Decimals Finding

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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try lifeskills

Ex 4Ch3 (page 29)

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PercentagesPercentagesComparing Percentages

Have you updated your Learning

Log ?

Are you on Target ?I can ?