
Understanding Area Approximation and Sigma Notation

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Easy
Standards-aligned

Ethan Morris
Used 1+ times
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of the video tutorial?
To solve algebraic equations
To explore the properties of geometric shapes
To learn about the history of calculus
To approximate the area under curves and understand sigma notation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function used in the video to demonstrate area approximation?
f(x) = x^3 - x
f(x) = x^2 + 2x + 1
f(x) = 1 + 0.1x^2
f(x) = 2x + 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many rectangles are used to approximate the area under the curve?
Two
Three
Four
Five
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What method is used to determine the height of each rectangle?
Left endpoint method
Trapezoidal method
Right endpoint method
Midpoint method
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the sigma notation, what expression is used to calculate the height of each rectangle?
f(2n)
f(n^2)
f(n)
f(2n - 1)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the width of each rectangle in the approximation?
3
2
4
1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in evaluating the sigma notation?
Calculate the derivative
Add all the heights together
Multiply by the width of the rectangles
Factor out a common term
Tags
CCSS.HSF.IF.A.2
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