
Riemann Sum Area Approximations

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

Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using a right Riemann sum in this context?
To calculate the slope of the curve
To approximate the area under the curve
To find the exact area under the curve
To determine the function's maximum value
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many subdivisions are used in the right Riemann sum for this problem?
Three
Five
Four
Two
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What information is provided to help approximate the area under the curve?
The integral of the function
A table of values for the function
A complete graph of the function
The derivative of the function
Tags
CCSS.HSF.IF.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about the function's behavior between data points?
The function is linear between points
The function's behavior is unknown between points
The function is constant between points
The function is quadratic between points
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the width of each subdivision in the right Riemann sum?
4
3
1
2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the height of each rectangle determined in a right Riemann sum?
Using the right boundary of each subdivision
Using the average of the left and right boundaries
Using the midpoint of each subdivision
Using the left boundary of each subdivision
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the height of the rectangle for the first subdivision?
6
5
3
8
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