LIBRE-PPT-FINAL DEMO.pptxLNKLHKHBHVKJLHHV

FOR EDUCATIONAL ONLY

1. Mathematics 9 P repared by: Alvin Libre

2. REVIEW Direction: Identify the given situation if it is direct variation or inverse variation .

3. REVIEW x 1 2 3 4 y 2 1 2/3 1/2 1 Inverse Variation

4. REVIEW x 1 2 3 4 y 2 4 6 8 2 Direct Variation

5. REVIEW 3 The number of days to finish a job the number of men working. Inverse Variation

6. REVIEW 4 The amount of gasoline to distance covered by the car. Direct Variation

7. REVIEW 5 The time spent in driving to the speed of the car. Inverse Variation

8. OBJECTIVES At the end of the lesson, the students will be able to: Illustrate situations involving joint variation

9. OBJECTIVES At the end of the lesson, the students will be able to: Translate variation statement to mathematical equation and vice versa

10. OBJECTIVES At the end of the lesson, the students will be able to: Display collaboration and apply the use of joint variation to real-life situations.

11. MOTIVATIONAL ACTIVITY Direction: Arrange the following jumbled letters to form a word.

12. CANTONST 1

13. CONSTANT

14. RAVIATINO 2

15. VARIATION

16. TAIRO 3

17. RATIO

18. ROPORPTINO 4

19. PROPORTION

20. BRAGELA 5

21. ALGEBRA

22. Activity Instructions: Divide the class into 5 groups. The group will be provided an answer sheet and materials. Read each directions and present your output after 5 minutes. Group 1- Area Group 2 - Pyramid Group 3- Heat Group 4- Mass

23. Activity Group 1- Area Group 2 - Pyramid Group 3- Heat Group 4- Mass

24. CONTENT – 30% COMPLETENESS – 10% PRESENTATION – 10% CRITERIA

25. 1. What did you observe in the table of values? ANALYSIS

26. 2. How will you be able to write an equation using the table of values? ANALYSIS

27. 3 . Based on the activity, what is the relationship of its variables? ANALYSIS

28. 4. Based on the activity, the values in the table is increasing or decreasing ? ANALYSIS

29. 5 . I s the values or numbers in the table proportional or not ? ANALYSIS

30. Joint Variation

31. Joint Variation occurs when whenever a situation produces 3 or more numbers in which the ratio of the independent variable to the dependent variable is constant.

32. The statement “ z varies jointly as x and y ” means z = kxy , where k is the constant ratio.

33. Think-Pair-Share Instruction : Divide the class into four groups. Using the following situation below, translate each problem into equation. Use k as the constant of variation.

34. Think-Pair-Share The Jeepney fair F hike varies jointly as the price of gasoline (g) and inflation rate (r). S ituaton 1 :

35. Think-Pair-Share The NORDECO bill N varies jointly as electricity charge (e), generation charge (g) and transmission charge(t). S ituation 2:

36. Think-Pair-Share The Population P growth varies jointly as the birth rate (b) and immigration rate ( i ). Situation 3:

37. Direction: Complete the table below by writing the equation to variation statement and vice versa. Assessment

38. Variation statement Equation 1. E= kni 2. D varies jointly as f and g   3. T = kpl 4. R= kub 5. The amount of gasoline varies jointly as distance d and the square of time travelled t.  

39. Assignment Instruction: Make 5 real-life situations (variation statement) that shows joint variation. Write your answer on a ½ sheet of paper.

40. Thank YOU!