Jeopardy! for the Classroom
Real Numbers Complex Numbers Polar Equations Polar Graphs Operations w/ Complex Numbers C & V
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 exact rectangular 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 is 2(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 x 2 + y 2 = 9
What is r = 3?
The rectangular form of r = - 7 sin Θ
What is x 2 + y 2 = -7y?
The polar form of y = -√3 x
What is Θ = 2π/3?
The rectangular form of r sec Θ = 3
What is x 2 + y 2 = 3x?
The center and radius of r = -2 sin Θ
What are (0, -1) and 1?
The position of the 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 of r 2 = 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 -32i 1/5
What is five?
z·w if z = 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 if z = 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?