Jeopardy!for the Classroom

RealNumbers

ComplexNumbers

PolarEquations

PolarGraphs

Operations w/

ComplexNumbers

C & V

100 100 100 100 100 100

200 200 200 200 200 200

300 300 300 300 300 300

400 400 400 400 400 400

500 500 500 500 500 500

The polar form of(-3,0)

What is (3, π) or (3, 180°)?

The rectangular form of (-2, 3π/2)

What is (0, 2)?

The exactrectangular form of

(4, -5π/6)

What is (-2√3, -2)?

The exact polar form of

(-3, 3)

What is (3√2, 135°)?

The rectangular form of (-5, π/10)

What is (-4.76, -1.55)?

The exact polar form of 1 - i

What is√2(cos 315°+ i sin 315°)?

The exact polar form of -1 + √3i

What is2(cos 120° + i sin 120°)?

The exact rectangular form of

6(cos 4π/3 + i sin 4π/3)

What is (-3, -3√3)?

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

What is (-1.55, 4.76)?

The polar form of -4

What is 4(cos π + i sin π)?

The rectangular form of

r cos Θ = 2

What is x = 2?

The polar form of x2 + y2 = 9

What is r = 3?

The rectangular form of r = - 7 sin Θ

What is x2 + y2 = -7y?

The polar form of y = -√3 x

What is Θ = 2π/3?

The rectangular form of r sec Θ = 3

What is x2 + y2 = 3x?

The center and radius of

r = -2 sin Θ

What are(0, -1) and 1?

The position ofthe first petal of

r = 3 sin 3Θ

What is 30°?

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

What is a cardioid?

The number of petals on the graph ofr2 = 4 sin 2Θ

What is two?

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

What is a limaçon with a loop?

The number of complex roots of

-32i1/5

What is five?

z·w ifz = 2(cos 50°+ i sin 50°)

w = 3(cos 160° + i sin 160°)

What is 6(cos 210° + i sin 210°)?

Daily Double

The standard form a + bi of

[5(cos 2π/3 + i sin 2π/3)]3

What is 125?

z/w in rectangular form ifz = 3(cos 40°+ i sin 40°)

w = 6(cos 160° + i sin 160°)

What is -1/4 - √3/4 i?

The complex cube roots of -2 – 2i

What are√2(cos 75° + i sin 75°)

√2(cos 195° + i sin 195°) √2(cos 315° + i sin 315°)?

The letters used to represent polar

coordinates

What are r and Θ?

The name of the origin in polar coordinates

What is the pole?

The name of the graph that is shaped like a

propeller

What is a lemniscate?

The name of the distance from the origin to the point representing a

complex number

What is the magnitude or modulus?

The theorem that is used to raise a complex

number to a power

What is DeMoivre’s?

Final Jeopardy!

Concepts and Vocabulary

The difference between

rectangular and polar

coordinates

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?