jeopardy! for the classroom. real numbers complex numbers polar equations polar graphs operations w/...
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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?