num 13-dec-15compiled by mr. lafferty maths dept. fractions decimals percentages conversion between...
TRANSCRIPT
![Page 1: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages Conversion between % Fractions and Decimals Finding](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/1.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Fractions Decimals Fractions Decimals PercentagesPercentages
ww
w.m
ath
srevis
ion
.com Conversion between % Fractions and Decimals
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/2.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/3.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Percentagesw
ww
.math
srevis
ion
.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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/4.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/5.jpg)
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%
ww
w.m
ath
srevis
ion
.com
![Page 6: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages Conversion between % Fractions and Decimals Finding](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/6.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/7.jpg)
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%
ww
w.m
ath
srevis
ion
.com
![Page 8: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages Conversion between % Fractions and Decimals Finding](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/8.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/9.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/10.jpg)
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)
ww
w.m
ath
srevis
ion
.com
PercentagesPercentagesComparing Percentages
![Page 11: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages Conversion between % Fractions and Decimals Finding](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/11.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter Questionsw
ww
.math
srevis
ion
.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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/12.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Percentagesw
ww
.math
srevis
ion
.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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/13.jpg)
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
ww
w.m
ath
srevis
ion
.com
With a Calculator
![Page 14: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages Conversion between % Fractions and Decimals Finding](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/14.jpg)
Num
ww
w.m
ath
srevis
ion
.com
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/15.jpg)
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)
ww
w.m
ath
srevis
ion
.com
PercentagesPercentagesWith a Calculator
![Page 16: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages Conversion between % Fractions and Decimals Finding](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/16.jpg)
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.
ww
w.m
ath
srevis
ion
.com
8cm
10cm
![Page 17: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages Conversion between % Fractions and Decimals Finding](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/17.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/18.jpg)
Num
Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Dept
Percentage RisePercentage Risew
ww
.math
srevis
ion
.com
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/19.jpg)
Num
Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Dept
Percentage RisePercentage Risew
ww
.math
srevis
ion
.com
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/20.jpg)
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)
ww
w.m
ath
srevis
ion
.com
Percentage RisePercentage Rise
![Page 21: Num 13-Dec-15Compiled by Mr. Lafferty Maths Dept. Fractions Decimals Percentages Conversion between % Fractions and Decimals Finding](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/21.jpg)
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter Questionsw
ww
.math
srevis
ion
.com
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/22.jpg)
Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Percentage Fall (Decrease)
ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/23.jpg)
Num
Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Dept
Percentage Fall (decrease)
ww
w.m
ath
srevis
ion
.com
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/24.jpg)
Num
Created by Mr. LaffertyCreated by Mr. LaffertyMaths DeptMaths Dept
Percentage Fall (decrease)
ww
w.m
ath
srevis
ion
.com
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](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf9c1a28abf838c934df/html5/thumbnails/25.jpg)
Num
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try lifeskills
Ex 4Ch3 (page 29)
ww
w.m
ath
srevis
ion
.com
PercentagesPercentagesComparing Percentages
Have you updated your Learning
Log ?
Are you on Target ?I can ?