Exploring Average Rate of Change in Calculus
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Aiden Montgomery
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the first lesson in the new unit?
Introduction to average rate of change
Introduction to derivatives
Introduction to integrals
Introduction to limits
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is another term for the average rate of change?
Limit
Slope
Integral
Derivative
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of average rate of change, what does Delta Y/Delta X represent?
The change in Y over the change in X
The change in X over the change in Y
The sum of X and Y
The product of X and Y
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the secant line?
A line that touches the curve at one point
A line that intersects the curve at two points
A line that is parallel to the curve
A line that is perpendicular to the curve
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the function used to find the average rate of change?
3x^2 - 2x
x^3 - 2x
2x^2 - 3x
x^2 - 3x
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the average rate of change between 1/2 and 3/2 for the function x^3 - 2x?
0.5
1.25
1.75
0.625
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the dependent variable?
Time
Distance
Number of kids
Hours
Tags
CCSS.6.EE.C.9
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