12 january 201612 january 201612 january 2016 prepared by: mr. raafat haroun 1
TRANSCRIPT
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Grade Levels:Grade Levels:
Subject:Subject:
Duration:Duration:
7 - 87 - 8
MathMath
90 minutes90 minutes
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This lesson is talking This lesson is talking about what the about what the percentage is and how percentage is and how do we apply this concept do we apply this concept in calculating some in calculating some problems related to problems related to percentage.percentage.Then, ask the students Then, ask the students to make a task related to make a task related to the lessonto the lesson
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By the end of the lesson the student must be able to:• Realize the concept of percentageRealize the concept of percentage• Convert from percentage into fraction / decimalConvert from percentage into fraction / decimal• Convert from fraction / decimal into percentageConvert from fraction / decimal into percentage• calculate the percentage of an amount with calculate the percentage of an amount with respect to its total.respect to its total.• Use the pie chart to represent the application of Use the pie chart to represent the application of percentage in life percentage in life
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• School BookSchool Book• http://en.wikipedia.org/wiki/Pie_charthttp://en.wikipedia.org/wiki/Pie_chart• http://www.mathsisfun.com/percentage.htmhttp://www.mathsisfun.com/percentage.htmll• www.maths.comwww.maths.com• www.mathfun.comwww.mathfun.com• www.mathkids.com www.mathkids.com
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Time CapsuleTime CapsuleThis is a good exercise for practicing reaching consensus and for This is a good exercise for practicing reaching consensus and for team members to understand each others' values.team members to understand each others' values.
Have each member of the team list five items that they feel should Have each member of the team list five items that they feel should be included in a time capsule that will be opened by another be included in a time capsule that will be opened by another civilization in five thousand years' time. Each member of the team civilization in five thousand years' time. Each member of the team should then explain the reasons for their choice. The team then should then explain the reasons for their choice. The team then reaches consensus on which five objects should be included in the reaches consensus on which five objects should be included in the time capsule. Ask each team to write their final choice of items on a time capsule. Ask each team to write their final choice of items on a flipchart and discuss and defend their choices with the whole group.flipchart and discuss and defend their choices with the whole group.
10 min10 min
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20 min20 min
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What is this sign?!!!!!!What is this sign?!!!!!!
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It’s a ratio, and its 2nd term is 100
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Oh, thank you..But What about its name?
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Its name is
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Can I convert from fractions into decimalsand vice versa?April 21, 2023April 21, 2023 1515Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun
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Sure!Sure!!!
Let us Let us seesee
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We can put ¾ in the We can put ¾ in the form of decimal asform of decimal as following:following:
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Can i put 0.125 in theCan i put 0.125 in the form of fraction?form of fraction?
1000
125125.0
1000
125125.0 SimplifyingSimplifying
Sure my dear, 0.125 meansSure my dear, 0.125 means
8
18
1
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But! Can I convert ¾But! Can I convert ¾Into percentage?Into percentage?
Sure, and that bySure, and that by multiplying by 100multiplying by 100
)%1004
3(
4
3 )%100
4
3(
4
3 ==
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Can you tell me about Can you tell me about the rules of applications the rules of applications of percentage in life of percentage in life
Sure my dearSure my dear
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ApplicationsApplications%%
ProfitProfit LoseLose DiscountDiscount
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The loss = cost price – selling priceThe loss = cost price – selling price
The profit = selling price – cost priceThe profit = selling price – cost price
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Percentage of profitPercentage of profit= profit
c.p.= profit
c.p. X 100% X 100%
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Percentage of lossPercentage of loss
= loss
c.p.= loss
c.p. X 100% X 100%
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Example :Example :
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Ahmed bought
some goods for
LE 4800
Ahmed bought
some goods for
LE 4800April 21, 2023April 21, 2023 2626Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun
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And sold them
for LE 5400
And sold them
for LE 5400
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FindFindHis percentage
of profit.
His percentage
of profit.April 21, 2023April 21, 2023 2828Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun
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Solution :Solution :
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The profit = selling price – cost priceThe profit = selling price – cost price
= 5400 – 4800 = LE 600
= 5400 – 4800 = LE 600
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= 600
4800= 600
4800 X 100% X 100%
= 12.5%= 12.5%
Then Percentage of profit
Then Percentage of profit
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Example :Example :
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Convert each of
the following
percentage to a
decimal
Convert each of
the following
percentage to a
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25%25%(1)(1)
(2)(2) 40%40%
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6.3%6.3%
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Solution :Solution :
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25% =25÷100 =0.25
25% =25÷100 =0.25
(1)(1)
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(2)(2) 40%
= 40÷10 100÷10
= 4 10 =0.4
40%
= 40÷10 100÷10
= 4 10 =0.4April 21, 2023April 21, 2023 3737Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun
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(3)(3) 6.3%
= 6.3 X10 100X10
= 63 1000 =0.036
6.3%
= 6.3 X10 100X10
= 63 1000 =0.036April 21, 2023April 21, 2023 3838Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun
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(4)(4) 3 3∕5%
= 18
500 =0.036
3 3∕5%
= 18
500 =0.036April 21, 2023April 21, 2023 3939Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun
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25 min25 min