LINEAR EQUATION WITH ONE VARIABLE (LEOV)
Learning Objectives: After implementing this lesson students will be able to: Changing daily problems into mathematical models of the forms of Linear Equation with One Variable 2. Solving the daily problems using the Linear Equation with One Variable forms. 1. The characters building: Discipline, respect, diligence and responsibility.
Changing Daily Problems into Mathematical Models of The Form of Linear Equations with One Variable Problem Examples: 1. I have some candy in my pocket. Then I take two candies from my pocket. Now, the number of candy in my pocket is three candies left. Create the mathematical model of this situation! q Answer: o Let: The number of my candy before = x The mathematical model of that situation is: x-2=3 v
2. After Anna given 2 pencils to Lusi, Lusi has 7 pencils now. Create the mathematical model of this situation! q Answer: o Let: The number of Lusi’s pencils before = a The mathematical model of that situation is: a+2=7
3. Mr. Rifki has some fish in the his pond. One day Mr. Rifki buy 5 fish in the market. Then the fish were put into the his pond. Apparently the number of fish in the Mr. Rifki’s pond now is 23 fishs. Create a mathematical model of that situation!
q Answer: Let: The number of Mr. Rifki fish before = x The mathematical model of that situation is: ◦ X + 5 = 23 After we could create the mathematical model of that situation, then we can determine the number of Mr. Rifki fish before in the following manner: x + 5 = 23 x + 5 – 5 = 23 – 5 x = 18 Therefore, the number of Mr. Rifki fish before is 18 fishs.
Exercise: Write the LEOV for each of the following situations and answer the questions! If Rp. 1. 000, 00 is added to Lia’s money, it will become Rp. 4. 500, 00. how much Lia’s money before? 2. After 7 books are taken by Dea, Nisa has 15 books left. How many Nisa’s books before? 3. If Dicki’s money is miltiplied by 3, it will become Rp. 24. 000, 00. how much the real Dicki’s money? 4. If Father’s money is given to his four childrens each of them will have Rp. 7. 000, 00. how much Father’s money? 1.
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