April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 11

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 22

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 33

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 44

Grade Levels:Grade Levels:

Subject:Subject:

Duration:Duration:

7 - 87 - 8

MathMath

90 minutes90 minutes

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 55

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

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 66

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

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 77

• 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

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 88

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

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 99

20 min20 min

April 19, 2023April 19, 2023 1010Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

What is this sign?!!!!!!What is this sign?!!!!!!

April 19, 2023April 19, 2023 1111Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

It’s a ratio, and its 2nd term is 100

April 19, 2023April 19, 2023 1212Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Oh, thank you..But What about its name?

April 19, 2023April 19, 2023 1313Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Its name is

April 19, 2023April 19, 2023 1414Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Can I convert from fractions into decimalsand vice versa?April 19, 2023April 19, 2023 1515Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Sure!Sure!!!

Let us Let us seesee

April 19, 2023April 19, 2023 1616Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

We can put ¾ in the We can put ¾ in the form of decimal asform of decimal as following:following:

April 19, 2023April 19, 2023 1717Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

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

April 19, 2023April 19, 2023 1818Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

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 ==

April 19, 2023April 19, 2023 1919Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

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

April 19, 2023April 19, 2023 2020Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

ApplicationsApplications%%

ProfitProfit LoseLose DiscountDiscount

April 19, 2023April 19, 2023 2121Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

The loss = cost price – selling priceThe loss = cost price – selling price

The profit = selling price – cost priceThe profit = selling price – cost price

April 19, 2023April 19, 2023 2222Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Percentage of profitPercentage of profit= profit

c.p.= profit

c.p. X 100% X 100%

April 19, 2023April 19, 2023 2323Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Percentage of lossPercentage of loss

= loss

c.p.= loss

c.p. X 100% X 100%

April 19, 2023April 19, 2023 2424Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Example :Example :

April 19, 2023April 19, 2023 2525Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Ahmed bought

some goods for

LE 4800

Ahmed bought

some goods for

LE 4800April 19, 2023April 19, 2023 2626Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

And sold them

for LE 5400

And sold them

for LE 5400

April 19, 2023April 19, 2023 2727Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

FindFindHis percentage

of profit.

His percentage

of profit.April 19, 2023April 19, 2023 2828Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Solution :Solution :

April 19, 2023April 19, 2023 2929Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

The profit = selling price – cost priceThe profit = selling price – cost price

= 5400 – 4800 = LE 600

= 5400 – 4800 = LE 600

April 19, 2023April 19, 2023 3030Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

= 600

4800= 600

4800 X 100% X 100%

= 12.5%= 12.5%

Then Percentage of profit

Then Percentage of profit

April 19, 2023April 19, 2023 3131Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Example :Example :

April 19, 2023April 19, 2023 3232Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

Convert each of

the following

percentage to a

decimal

Convert each of

the following

percentage to a

decimalApril 19, 2023April 19, 2023 3333Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

25%25%(1)(1)

(2)(2) 40%40%

April 19, 2023April 19, 2023 3434Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

6.3%6.3%

Solution :Solution :

April 19, 2023April 19, 2023 3535Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

25% =25÷100 =0.25

25% =25÷100 =0.25

(1)(1)

April 19, 2023April 19, 2023 3636Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

(2)(2) 40%

= 40÷10 100÷10

= 4 10 =0.4

40%

= 40÷10 100÷10

= 4 10 =0.4April 19, 2023April 19, 2023 3737Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

(3)(3) 6.3%

= 6.3 X10 100X10

= 63 1000 =0.036

6.3%

= 6.3 X10 100X10

= 63 1000 =0.036April 19, 2023April 19, 2023 3838Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

(4)(4) 3 3∕5%

= 18

500 =0.036

3 3∕5%

= 18

500 =0.036April 19, 2023April 19, 2023 3939Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 4040

• I’ll divide the class into groups of 4 students each I’ll divide the class into groups of 4 students each (5 minutes)(5 minutes)

• ask them to download the assessment file then ask them to download the assessment file then starting in solving the problems in it starting in solving the problems in it (20 minutes )(20 minutes )

• after solving these problems, let each group state after solving these problems, let each group state and justify the answer.and justify the answer. (10 minutes )(10 minutes )

April 19, 2023April 19, 2023 Prepared By: Mr. Raafat HarounPrepared By: Mr. Raafat Haroun 4141

25 min25 min