1) The document outlines a 50 minute mathematics lesson on direct variation taught by Mrs. Suros Nueangchompoo to secondary 2 students.
2) The lesson begins with introducing direct variation using examples and definitions. Students then practice solving direct variation problems and word problems using the direct variation equation y=kx.
3) The lesson concludes with students doing practice exercises independently while the teacher observes and provides assistance. Students are evaluated on their knowledge, process, and attitude during the lesson.
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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
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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.