quarter 3 sample ppt lesson in MATHEMATICS 9.pptx

Math 9 lesson q3

1. MATHEMATICS 9 (M9AL-IIa-1) (M9AL-IIa-b-1) (M9AL-IIb-c-1) PREPARED BY: KERLYN C. BULAN

2. Objectives: Illustrate situations that involve inverse variation Translate into variation statement a relationship involving inverse variation Find the unknown in an inverse variation equation Appreciate the concept of inverse variation in real-life situation

3. Jason and Jerson are sitting on a seesaw. Jason , who is heavier , tends to raise Jerson on the other end of the seesaw. They tried to position themselves in order to balance the weight of each other .

4. JERSON JASON

5. 1. What have you noticed when the two boys move closer to or farther from the center ?

6. 2. Who among the two boys will have to move closer to the center in order to balance the seesaw?

7. 3. How do the weights of the boys relate to the distance from the center ?

8. Does the change in one quantity affect a change in the other? Explain.

9. Illustrative Example 1. If x varies inversely with y, and x = 10 and y = 4, then what is the value of constant of variation?

10. Illustrative Example 2. Express each of the following as equation . 1. The number of slices s that can be made from a standard Pinoyloaf of bread is inversely proportional to the thickness t of a slice.

11. 2. At a constant voltage, the electric current I varies inversely as the resistance R.

12. 3. The volume V of a gas at constant temperature varies inversely as the pressure P.

13. 4. The altitude h of a triangle with a constant area varies inversely as the base b.

14. 5. The time t required to travel a given fixed distance is inversely proportional to the speed r.

15. For a given mass and gas of constant temperature, the pressure P varies inversely as the volume V. If P = 8 when V = 18, find V when P = 4.

16. REMEMBER! Inverse variation occurs whenever situations produce pairs of numbers whose product is constant.

17. For two quantities x and y, an increase in x causes a decrease in y or vice versa. We can say that y varies inversely as x or y =

18. The statement, “y varies inversely as x,” translate to y = . where k is the constant of variation.

19. Let’s do the activity 12. pp.209