Geometry Jeopardy Project

Trigonometry

100

The three basic trigonometric ratios that SOH-CAH-TOA stands for

What is Sin(SOH), Cos(CAH), Tan(TOA)

200

The formula for Sin

What is Opposite/Hypotenuse 

300

The value of cos(150)

What is -square root of 3/2

400

Find the missing angle to the right sided triangle

adj= 5 in

hypo= 7 in

opp=?

What is 44.4 degrees

500

Find the missing height

angle= 65 degrees

hypo= 20 ft

What is 18.13 ft

Sequence and Series

100

What is the 5th term of the arithmetic sequence 3,6,9, . . . ?

15

200

What is the sum of the first 8 terms of the arithmetic sequence 2,5,8, . . . ?

100

300

What is the 6th term of the geometric sequence 3,6,12, . . . ?

96

400

What is the sum of the first 10 terms of the geometric series 1+2+4+ . . . ?

1023

500

What is the common ratio of the geometric sequence where the 3rd term is 12 and the 5th term is 48 ?

2

Polar, Vector, Parametric

100

The polar coordinate order pair

What is (r,0)

0 is angle 

200

The magnitude of the vector <3,4>

What is 5

300

The rectangular equation that represents r=6cos0

What is (x-3)²+y²=9

400

The point on the parametric curve when 

x=t+1

y=2t

t=3

(4,6)

500

The resultant vector w=2u+3v when u=<3,-3> and v=<1,5>

What is <9,11>

Limits

100

lim(2x+1)?

x->3

7

200

lim x²?

x->5

25

300

lim x²-4/x-2?

x->2

4

400

lim x²-1/x-2?

x->1

2

500

lim of square root of x+1-1/x?

x->0

1/2

Derivative

100

f(x) to f¹(x) or slope of the tangent line. What is this?

derivative

200

What is the derivative of f(x)=3x² ?

6x

300

What is the derivative of f(x)=4x^-1 ?

-4/x²

400

What is the derivative of f(x)=2x³+4x ?

6x²+4

500

Whats the derivative of f(x)=3x4-5x²+2x ?

12x³-10x+2