1. Polar Coordinates Review

2. Guidelines Answer the question in the time allotted. Write your answer on the white-board in front of you. When time is called, hold up your board. Checkers will come around and check your work. If we need to review the process, the calculator will randomly select a group and person to present the solution. If the person selected is unable to explain the solution, the group will LOSE the point value of the question. Then another group will be selected. The same rule applies to them. If they can’t do it, Ms. Springer-Wilson will present the solution, and we’ll move on to the next question.

3. What’s at stake? Freebie (full points) question on the quiz.

4. Categories Converting Equations GraphingConverting Coordinates DistanceRandom 100 200 300 400

5. Converting Equations – 100 (45 seconds) Convert the following polar equation to an equation using rectangular coordinates.

6. Converting Equations – 100 – Answer Home

7. Converting Equations – 200 (90 seconds) Convert the following equation to rectangular.

8. Converting Equations – 200 – Answer Home

9. Converting Equations – 300 (2.5 mins) Convert the following equation to a polar equation with r as an isolated variable:

10. Converting Equations – 300 – Answer Home

11. Converting Equations – 400 – (3 mins) There are four identities/equations/formulas that are useful for converting between polar and rectangular equations. Pick 2 of them, and using a diagram and, if necessary, a brief explanation, illustrate where the formulas come from.

12. Converting Equations – 400 – Answer Answers may vary Home

13. Graphing – 100 (1 min) Graph the following point: (6, pi/6)

14. Graphing – 100 – Answer Home

15. Graphing – 200 (1 min) Graph the following point: (-5, pi/3)

16. Graphing – 200 – Answer Home

17. Graphing – 300 (2 min) What are two other coordinate pairs that designate the same position as (7, -200 degrees)?

18. Graphing – 300 – Answer Home

19. Graphing – 400 (1.5 min) Graph the following point: (-7, -11pi/6)

20. Graphing – 400 – Answer Home

21. Converting Coordinates – 100 (1 min) What is the polar coordinate (4, 19 degrees) as a rectangular coordinate?

22. Converting Coordinates – 100 – Answer Home

23. Converting Coordinates – 200 (2 min) What is the rectangular coordinate (4, -9) as a polar coordinate where theta is a positive value in degrees?

24. Converting Coordinates – 200 – Answer Home

25. Converting Coordinates – 300 (2 min) What are the rectangular coordinates associated with the polar coordinates (6, 78pi/2)?

26. Converting Coordinates – 300 – Answer Home

27. Converting Coordinates – 400 (2 min) When graphing polar coordinates, what are the two components, and what does each tell you?

28. Converting Coordinates – 400 – Answer R tells you the distance from the pole Theta tells you the angle of rotation starting at the positive x-axis. Home

29. Distance – 100 (3 min) What is the distance between the two polar coordinates A(10, 100 degrees) and B(3, 35 degrees)?

30. Distance – 100 – Answer 9.1 Home

31. Distance – 200 (2 min) What is the distance between polar coordinates X(21, 100 degrees) and Y(19, -10 degrees)?

32. Distance – 200 – Answer 32.8 Home

33. Distance – 300 (3 minutes) What is the distance between polar coordinates (4, pi/3) and (7, 5pi/6)?

34. Distance – 300 – Answer 8.1 Home

35. Distance – 400 (1 minute) The location of two fighter jets from the control tower of an aircraft carrier are (150 mi, 300 degrees), and (300 mi, -60 degrees). How far apart are the planes from one another?

36. Distance – 400 – Answer 150 mi Home

37. Random – 100 (30 seconds) What sport did Ms. Springer-Wilson do in college and at which school?

38. Random – 100 – Answer Rowing, University of Texas at Austin Home

39. Random – 200 (90 seconds) If tan(theta) = 13/17 and the angle lies in the first quadrant, what are the values of the other 5 trig ratios?

40. Random – 200 – Answer Home

41. Random - 300 Prove a multiple angle identity.

42. Random – 300 – Answer Home

43. Random – 400 – 3 min What is the area of the shaded region in the diagram below? Round to the nearest tenth.

44. Random – 400 - Answer 61.8 m squared Home