2. Which of the following areas are you trying to find? ParallelogramTriangleTrapezoid AREAS OF POLYGONS

3. AREA OF A PARALLELOGRAM Welcome. Today you’re going to discover the formula for area of a parallelogram. h b Click to Continue

4. AREA OF A PARALLELOGRAM To do this let’s cut the left triangle and… h b Click to Continue

5. slide it… AREA OF A PARALLELOGRAM h h b Click to Continue

6. slide it… AREA OF A PARALLELOGRAM h h b

7. slide it… AREA OF A PARALLELOGRAM h h b

8. slide it… AREA OF A PARALLELOGRAM h h b

9. …thus, changing it to a rectangle. What is the area of the rectangle? AREA OF PARALLELOGRAM h b

10. Congratulations!!! You Answered Correctly. Click to continue.

11. AREA OF A PARALLELOGRAM Since the area of the rectangle and parallelogram are the same, just rearranged, what is the formula for the area of this parallelogram? h b

12. Congratulations!!! You Answered Correctly. Click to continue.

13. The next slide will take you into discovering the area of a triangle. Do you wish to continue? YesNo

14. AREA OF A TRIANGLE Hello. You will now be discovering the formula for area of a triangle. h b Click to Continue

15. AREA OF A TRIANGLE Let’s divide the triangle so that we divide the height in two. b ? ? Click to Continue

16. AREA OF A TRIANGLE Now take the top and rotate… b ? ? Click to Continue Remember, we divided the height into two equal parts.

17. AREA OF A TRIANGLE rotate… ? ?

18. AREA OF A TRIANGLE ? ? b rotate…

19. AREA OF A TRIANGLE ? ? b rotate…

20. AREA OF A TRIANGLE ? ? b rotate…

21. AREA OF A TRIANGLE ? ? b rotate…

22. AREA OF A TRIANGLE ? ? b …until you have a parallelogram. How would you represent the height of this parallelogram?

23. AREA OF A TRIANGLE ? ? b b ? ? Remember, you divided the height in two. Click to Continue

24. AREA OF A TRIANGLE ? b What is the area of this parallelogram?

25. Congratulations!!! You Answered Correctly. Click to continue.

26. AREA OF A TRIANGLE The area of this triangle would be the same as the parallelogram. Therefore, the formula for the area of a triangle is… what? h b

27. Congratulations!!! You Answered Correctly. Click to continue.

28. The next slide will take you into discovering the area of a trapezoid. Do you wish to continue? YesNo

29. AREA OF A TRAPEZOID Hi. Let’s derive the formula for the area for a trapezoid. Click to Continue

30. AREA OF A TRAPEZOID Remember, there are two different bases on a trapezoid. h Click to Continue

31. AREA OF A TRAPEZOID ? ? First divide the trapezoid horizontally so the height is divided in two. Click to Continue

32. AREA OF A TRAPEZOID ? ? Remember, we divided the height in two. Now, rotate… Click to Continue

33. AREA OF A TRAPEZOID ? ? rotate…

34. AREA OF A TRAPEZOID ?? …until, you have a parallelogram. Click to Continue

35. AREA OF A TRAPEZOID ? How would you represent the height of the parallelogram?

36. AREA OF A TRAPEZOID ? ? ? Remember, we divided the height in two. Click to Continue

37. AREA OF A TRAPEZOID ? How would you represent the base of the parallelogram?

38. AREA OF A TRAPEZOID ? ? ? The new base is made by connecting the top and bottom bases. Click to Continue

39. AREA OF A TRAPEZOID ? How would you represent the area of this parallelogram?

40. AREA OF A TRAPEZOID It is improper to add subscripts. Try again. Click to Continue

41. AREA OF A TRAPEZOID Reminder. In order to add before multiplying you must use grouping symbols. Click to Continue

42. AREA OF A TRAPEZOID The area of this trapezoid is the same as the parallelogram. What is the formula for area of a trapezoid? h

43. Congratulations!!! You Answered Correctly. Click to continue.

44. Sorry!!! Try again. Click to continue.

45. AREAS OF POLYGONS Once you have finished with the handouts and tests you will have completed the unit on areas of parallelograms, triangles, and trapezoids. Have a good day. Click to Continue