direct proportion november 6, 2008. let us try to reflect on what we have done yesterday. what is...
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![Page 1: Direct Proportion November 6, 2008. Let us try to reflect on what we have done yesterday. What is the connection of making pastillas with Math specifically](https://reader036.vdocuments.us/reader036/viewer/2022070400/56649f115503460f94c23461/html5/thumbnails/1.jpg)
Direct ProportionDirect ProportionDirect ProportionDirect Proportion
November 6, 2008November 6, 2008
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Let us try to reflect on what we
have done yesterday.
What is the connection of making pastillas with Math specifically in ratio and proportion?
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Let us try to reflect on what we
have done yesterday.
Were you able to tolerate some people in your group and how did you do it?
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Let us try to reflect on what we
have done yesterday.
How can we accept people who have different choices, opinions, and tastes from us?
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Let us try to reflect on what we
have done yesterday.
Was there a time that your patience was tested by another member? How did you deal with it? How can we accept other people’s differences?
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What is a direct
proportion?Two quantities are directly proportional if an increase in one quantity corresponds to a constant increase in the other quantity, or if a decrease in one quantity corresponds to a constant decrease in the other quantity.
The more you eat,the more you grow.
The lesser the number of items,
the smaller the amount to pay.
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What are other examples of direct proportion?
The more sugar you add in the pastillas,
the sweeter it will be.
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What are other examples of direct proportion?
The faster the speed,the greater the distance.
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What are other examples of direct proportion?
The more the number of persons,
the more food is required.
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What are other examples of direct proportion?
The less sleep you had,the less energy
you have.
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Let us try looking at one word problem.
Maita earns 450 pesos in selling sampaguita garlands on 4 Sundays. How many Sundays will it take her to earn 1,350 pesos?
Is this a problem involving direct proportion? Why do you say so?
Yes it is, because the more Sundays Maita sells sampaguita, the more earnings she will have.
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Maita earns 450 pesos in selling sampaguita garlands on 4 Sundays. How many Sundays will it take her to earn 1,350 pesos?
To solve this problem, after knowing what is asked, it’s better to list the given facts or numbers using a table.
No. of Sundays
Earnings
4 450
n 1,350
Let n represent the number asked for in the problem
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Maita earns 450 pesos in selling sampaguita garlands on 4 Sundays. How many Sundays will it take her to earn 1,350 pesos? No. of
SundaysEarnings
4 450n 1,350
Form two ratios given the numbers in the table. Equate the first ratio to the second ratio.
1350
4504
n
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Maita earns 450 pesos in selling sampaguita garlands on 4 Sundays. How many Sundays will it take her to earn 1,350 pesos?
No. of Sundays
Earnings
4 450n 1,350
Solve for the value of n by using cross-multiplication. Indicate the proper label.
1350
4504
n
450
13504n
450
5400n
Sundaysn 12
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Maita earns 450 pesos in selling sampaguita garlands on 4 Sundays. How many Sundays will it take her to earn 1,350 pesos?
No. of Sundays
Earnings
4 45012 1,350
Therefore, Maita should sell sampaguita garlands on 12 Sundays to earn 1,350 pesos.
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Let’s practice!!!
By pair, answer Challenge Yourself #s 1-5 on pages 205-206.
Since this is a pair work, seat beside your partner and work quietly. Help each other answer the word problems. If there are questions, approach the teacher.
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Practice more!
Answer Challenge Yourself #s 6-7 on page 206 of your work text.
Bring coloring materials tomorrow. Be sure you have the colors red, yellow, and blue.
HOMEWORK
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Quiz # 5
Comparing Quantities using RatioSimplifying RatiosSolving for the Unknown in a
ProportionDirect Proportion Indirect/Inverse ProportionPartitive ProportionWord Problems
November 14, 2008 (Friday)
TOPICS: