Sigma (Summation) Notation
Area Under a Curve
Trigonometry
Fundamentals
Ms. Madrigal Trivia
100
What is the name of the symbol, sum ? What does it represent in math?
sum
= Greek capital letter 'Sigma'. It indicates summation.
100
What does the area under the curve represent?
velocity (m/s) * time (s) = distance (m)
100
Find the value using the unit circle
sin(pi/2)=
sin(pi/2)= 1
100
Find the area of the circle. Round to the nearest tenths.
Area = pi*5^2 = 78.5 cm^2
100
What other subject does Ms. Madrigal teach?
Geometry
200
Write the following sum in expanded form and then calculate the value of the sum.
sum_(n=0)^3 n^2
0^2+1^2+2^2+3^2 = 14
200
Find the area under the curve within
0 <= time (t) <= 2
(the shaded region).
The shaded region is a triangle. Therefore,
area = 1/2(2)(40) = 40 meters
200
Solve the following equation
sin(x) = 1/2
for 0<= x <= 2pi
x = pi/6
x = (5pi)/6
200
2/3 + 1/5
13/15
200
What was Ms. Madrigal's major (Bachelor's degree)?
B.S. Mathematics for Teaching
300
Write the following sum in expanded form and then calculate the value of the sum.
sum_(k=0)^4 cos(kpi)
cos(0)+cos(1pi)+cos(2pi)+cos(3pi) +cos(4pi)= 1
300
Using left endpoint rectangles, approximate the area under the curve within the interval [-6,-2] using 4 subintervals.
(1)(3)+(1)(2.5)+(1)(2)+(1)(1.5) = 9 units^2
300
Find the value of
sec((5pi)/3)=
sec((5pi)/3)= 2
300
Factor
x^2+3x+2
(x+1)(x+2)
300
What sports did Ms. Madrigal play in high school? (name at least one)
Soccer & Tennis
400
Rewrite the series using sigma notation.
2+4+6+8
sum_(n=1)^4 2n
400
Using right endpoint rectangles, approximate the area under the curve within the interval [0,3] using 3 subintervals.
(1)(2)+(1)(4)+(1)(6) = 12 units^2
400
Solve the following equation
sec(theta)=1/2
for all theta
no solutions
400
The function f(x) = 1/2x^2 is shown below. If x=0.5, find the value of y.
y=0.125
400
Name one of Ms. Madrigal's top 5 artists.
Coldplay, Radiohead, Tyler, the Creator, Daniel Caesar, & Latin Mafia
500
Rewrite the series using sigma notation.
1+3+9+27
sum_(n=0)^3 3^n
500
Using left endpoint rectangles, approximate the area under the curve
f(x)=1/2x+1
within the interval [-1,3] using 2 subintervals.
(2)(0.5)+(2)(1.5) = 4 units^2
500
Simplify the following expression
(sin^2(x)+cos^2(x))/sin(x)
csc(x)
500
Solve the system of equations
{(3x-2y=6),(x+y=-8):}
x=-2, y=-6
500
How many siblings does Ms. Madrigal have?
5