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Jeopardy! for the Classroom. Real Numbers Complex Numbers Polar Equations Polar Graphs Operations w/ Complex Numbers C & V 100 200 300 400 500.

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Presentation on theme: "Jeopardy! for the Classroom. Real Numbers Complex Numbers Polar Equations Polar Graphs Operations w/ Complex Numbers C & V 100 200 300 400 500."— Presentation transcript:

1 Jeopardy! for the Classroom

2 Real Numbers Complex Numbers Polar Equations Polar Graphs Operations w/ Complex Numbers C & V 100 200 300 400 500

3 The polar form of (-3,0)

4 What is (3, π) or (3, 180°)?

5 The rectangular form of (-2, 3π/2)

6 What is (0, 2)?

7 The exact rectangular form of (4, -5π/6)

8 What is (-2√3, -2)?

9 The exact polar form of (-3, 3)

10 What is (3√2, 135°)?

11 The rectangular form of (-5, π/10)

12 What is (-4.76, -1.55)?

13 The exact polar form of 1 - i

14 What is √2(cos 315°+ i sin 315°)?

15 The exact polar form of -1 + √3i

16 What is 2(cos 120° + i sin 120°)?

17 The exact rectangular form of 6(cos 4π/3 + i sin 4π/3)

18 What is (-3, -3√3)?

19 The rectangular form of 5(cos 3π/5 + i sin 3π/5)

20 What is (-1.55, 4.76)?

21 The polar form of -4

22 What is 4(cos π + i sin π)?

23 The rectangular form of r cos Θ = 2

24 What is x = 2?

25 The polar form of x 2 + y 2 = 9

26 What is r = 3?

27 The rectangular form of r = - 7 sin Θ

28 What is x 2 + y 2 = -7y?

29 The polar form of y = -√3 x

30 What is Θ = 2π/3?

31 The rectangular form of r sec Θ = 3

32 What is x 2 + y 2 = 3x?

33 The center and radius of r = -2 sin Θ

34 What are (0, -1) and 1?

35 The position of the first petal of r = 3 sin 3Θ

36 What is 30°?

37 The shape of the graph of r = 4 – 4 sin Θ

38 What is a cardioid?

39 The number of petals on the graph of r 2 = 4 sin 2Θ

40 What is two?

41 The shape of the graph of r = 3 – 4 cos Θ

42 What is a limaçon with a loop?

43 The number of complex roots of -32i 1/5

44 What is five?

45 z·w if z = 2(cos 50°+ i sin 50°) w = 3(cos 160° + i sin 160°)

46 What is 6(cos 210° + i sin 210°)?

47 Daily Double

48 The standard form a + bi of [5(cos 2π/3 + i sin 2π/3)] 3

49 What is 125?

50 z/w in rectangular form if z = 3(cos 40°+ i sin 40°) w = 6(cos 160° + i sin 160°)

51 What is -1/4 - √3/4 i?

52 The complex cube roots of -2 – 2i

53 What are √2(cos 75° + i sin 75°) √2(cos 195° + i sin 195°) √2(cos 315° + i sin 315°)?

54 The letters used to represent polar coordinates

55 What are r and Θ?

56 The name of the origin in polar coordinates

57 What is the pole?

58 The name of the graph that is shaped like a propeller

59 What is a lemniscate?

60 The name of the distance from the origin to the point representing a complex number

61 What is the magnitude or modulus?

62 The theorem that is used to raise a complex number to a power

63 What is DeMoivre’s?

64 Final Jeopardy!

65 Concepts and Vocabulary

66 The difference between rectangular and polar coordinates

67 What is measuring a horizontal and vertical distance from the origin vs. measuring an angle made with the polar axis and a distance from the pole?


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