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EIS Teaching –Learning Strategies / Procedures Mathematic Secondary 2, duration 50 min 
Linear Equations in one Variable By Mrs. Suros Nueangchompoo 
............................................................ 
1. Learning objective 
- Students know meaning of direct variation. 
- Students can solve the problems about direct variation. 
2. Topic - Direct Variation 
3. Learning process 
NO 
Teaching-Learning Strategies/ Procedures 
Resources /Materials 
Time frame 
1 
2 
Starting the lesson : (Warm-up) 
- Good morning/afternoon students - How are you to day? 
- Today Who are Absent ?. 
-Today we’re going to talk about Direct Variation. 
Lesson Procedure 
- Everybody look at power point. 
- What is it ? 
- how do I know when I see it? 
- Definition: 
“ Y varies directly as x means that y = kx 
where k is the constant of variation. 
Another way of writing this is k = y/x “ 
PowerPoint 
5min
NO 
Teaching-Learning Strategies/ Procedures 
Resources /Materials 
Time frame 
Examples Of Direct Variation : 
What is the constant of variation of the table above? 
What is the constant of variation of the table above? 
Students what is answer ? 
35
- It is a direct variation? If yes, give the constant of variation (K) and the equation. 
- ( yes / No ) 
- Constant of variation is……? 
- Substitute constant of variation in the equation. ( y = 3/2x ) 
- It is a direct variation? If yes, give the constant of variation (K) and the equation. 
- ( yes / No ) 
- Constant of variation is……? 
- Substitute constant of variation in the equation. ( y = 5/2x )
- It is a direct variation? If yes, give the constant of variation (K) and the equation. 
- ( yes / No ) 
- No, K values are different. 
- Which of the following is a direct variation? 
- What’s choice A, B, C and D 
Which is the equation that describes the following table of values? 
- What’s choice 1, 2, 3 and 4
-Using Direct Variation to find unknowns( y = kx) 
Examples; 
- Given that y varies directly with x, and y = 28 when x = 7 , Find x when y = 52. 
- Solution have 2 step . 
-Step 1: Find the constant variation. 
-Step 2: Use y = kx. Find the unknown.(x) 
Using Direct Variation to find unknowns( y = kx) 
-Step 1. : Find constant variation. 
- What is constant ? 
- Step 2. : -Step 2: Use y = kx. Find the unknown.(x) 
- therefore: x= 40.5, y = 13.5
Using Direct Variation to find unknowns( y = kx) 
-Step 1. : Find constant variation. 
- What is constant ? 
- Constant (k) is ……. 
- Step 2. : -Step 2: Use y = kx. Find the unknown.(x) 
- therefore: x= -8, y = 9.6 
Using Direct Variation to solve word problems. 
- Problem: A car uses 8 gallons of gasoline to travel 290 miles. How much gasoline will the car use to travel 400 miles? 
- Step 1. : Find points ( x, y ) in table. 
- When x increases, Y increases. Y varies directly with x. 
- From problem miles varies directly with gallons, so gasoline 8 gallon as X and 290 miles as y.
- After that, we got points ( x , y) to write in table. 
Step2: Find the constant variation and equation. 
- Used standard form K = y/x 
- Substitute X,Y (290,8) in equation. So that K=290/8, K=36.25 
- Y = 36.25x 
Step 3: Use the equation to find the unknown. 
- Substitute y in equation y= 36.25x, When 
y = 400, 400 = 36.25x 
- X = 11.03 
Using Direct Variation to solve word problems. 
- Problem: Julio wages vary directly as the number of hours that he works. If his wages for 5 hours are $29.75, how much will they be for 30 hours. 
- Everybody solving this problem and Find answers. 
- Step 1. : Find points ( x, y ) in table. 
- Points are …….. 
- Volunteer…… 
Step2: Find the constant variation and equation. 
- Constant variation is……..
- Equation is………… 
Step 3: Use the equation to find the unknown. 
- Answer is……… 
- y = ? 
3 
Conclusion and Explanation 
- “ Y varies directly as x means that y = kx 
where k is the constant of variation. Another way of writing this is k = y/x” 
- Do you have any problem? 
- Ok!! Finish for today. 
5 
4 
Practice 
- Everybody do the exercise in your worksheet 
- Do 10 minutes enough for you ? 
- OK !! do your work now. 
(teacher observes and take care of students.) 
5 
5 
Evaluation - Evaluation students from observing in class. 
Exercise 
4. Resources/ Materials 
- Power Point 
- Internet 
- Exercise worksheet “Direct Variation” 
5. Evaluation 
- Knowledge : Observe from answering questions and doing exercises. 
- Process : observe the performance when doing exercises. 
- Attitude : Observe from having mathematic mind.

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  • 1. EIS Teaching –Learning Strategies / Procedures Mathematic Secondary 2, duration 50 min Linear Equations in one Variable By Mrs. Suros Nueangchompoo ............................................................ 1. Learning objective - Students know meaning of direct variation. - Students can solve the problems about direct variation. 2. Topic - Direct Variation 3. Learning process NO Teaching-Learning Strategies/ Procedures Resources /Materials Time frame 1 2 Starting the lesson : (Warm-up) - Good morning/afternoon students - How are you to day? - Today Who are Absent ?. -Today we’re going to talk about Direct Variation. Lesson Procedure - Everybody look at power point. - What is it ? - how do I know when I see it? - Definition: “ Y varies directly as x means that y = kx where k is the constant of variation. Another way of writing this is k = y/x “ PowerPoint 5min
  • 2. NO Teaching-Learning Strategies/ Procedures Resources /Materials Time frame Examples Of Direct Variation : What is the constant of variation of the table above? What is the constant of variation of the table above? Students what is answer ? 35
  • 3. - It is a direct variation? If yes, give the constant of variation (K) and the equation. - ( yes / No ) - Constant of variation is……? - Substitute constant of variation in the equation. ( y = 3/2x ) - It is a direct variation? If yes, give the constant of variation (K) and the equation. - ( yes / No ) - Constant of variation is……? - Substitute constant of variation in the equation. ( y = 5/2x )
  • 4. - It is a direct variation? If yes, give the constant of variation (K) and the equation. - ( yes / No ) - No, K values are different. - Which of the following is a direct variation? - What’s choice A, B, C and D Which is the equation that describes the following table of values? - What’s choice 1, 2, 3 and 4
  • 5. -Using Direct Variation to find unknowns( y = kx) Examples; - Given that y varies directly with x, and y = 28 when x = 7 , Find x when y = 52. - Solution have 2 step . -Step 1: Find the constant variation. -Step 2: Use y = kx. Find the unknown.(x) Using Direct Variation to find unknowns( y = kx) -Step 1. : Find constant variation. - What is constant ? - Step 2. : -Step 2: Use y = kx. Find the unknown.(x) - therefore: x= 40.5, y = 13.5
  • 6. Using Direct Variation to find unknowns( y = kx) -Step 1. : Find constant variation. - What is constant ? - Constant (k) is ……. - Step 2. : -Step 2: Use y = kx. Find the unknown.(x) - therefore: x= -8, y = 9.6 Using Direct Variation to solve word problems. - Problem: A car uses 8 gallons of gasoline to travel 290 miles. How much gasoline will the car use to travel 400 miles? - Step 1. : Find points ( x, y ) in table. - When x increases, Y increases. Y varies directly with x. - From problem miles varies directly with gallons, so gasoline 8 gallon as X and 290 miles as y.
  • 7. - After that, we got points ( x , y) to write in table. Step2: Find the constant variation and equation. - Used standard form K = y/x - Substitute X,Y (290,8) in equation. So that K=290/8, K=36.25 - Y = 36.25x Step 3: Use the equation to find the unknown. - Substitute y in equation y= 36.25x, When y = 400, 400 = 36.25x - X = 11.03 Using Direct Variation to solve word problems. - Problem: Julio wages vary directly as the number of hours that he works. If his wages for 5 hours are $29.75, how much will they be for 30 hours. - Everybody solving this problem and Find answers. - Step 1. : Find points ( x, y ) in table. - Points are …….. - Volunteer…… Step2: Find the constant variation and equation. - Constant variation is……..
  • 8. - Equation is………… Step 3: Use the equation to find the unknown. - Answer is……… - y = ? 3 Conclusion and Explanation - “ Y varies directly as x means that y = kx where k is the constant of variation. Another way of writing this is k = y/x” - Do you have any problem? - Ok!! Finish for today. 5 4 Practice - Everybody do the exercise in your worksheet - Do 10 minutes enough for you ? - OK !! do your work now. (teacher observes and take care of students.) 5 5 Evaluation - Evaluation students from observing in class. Exercise 4. Resources/ Materials - Power Point - Internet - Exercise worksheet “Direct Variation” 5. Evaluation - Knowledge : Observe from answering questions and doing exercises. - Process : observe the performance when doing exercises. - Attitude : Observe from having mathematic mind.