Peer Review

Calculus - Average Value of a Function

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Ease of Use:

Overview:: This geogebra applet is a visual tool for helping users to conceptualize the average value of a function over a given interval.
Type of Material:: Simulation
Recommended Uses:: The material is well suited to use for in-class demonstrations and individual study.
Technical Requirements:: Any browser. However, this applet works well using Microsoft Edge, but some users may have some difficulties getting it to load using Chrome.
Identify Major Learning Goals:: The main goal of this tool is to help users to conceptualize the average value of a function in a visual way.
Target Student Population:: High School, College Lower Division, Calculus I students
Prerequisite Knowledge or Skills:: College Algebra, Calculus I

Rating:
Strengths:: The applet is interactive and intuitive. Users can input their own function and select the upper and lower bounds by sliding points on the graph or by entering values in the box. The setup of the formula to find the average value of the given function on the given interval is displayed on the screen along with the actual average value. Users can use the slider to view a rectangle with height equal to the average value and width equal to the width of the interval.
Concerns:: It appears that the maximum upper bound is 5 and the minimum lower bound is -5. If the user types in a function leading to a divergent integral, then no solution or explanation is given.

Rating:
Strengths:: This applet is a great visualization tool. The use of color makes it easier for users to see what is happening. This would be a great tool to use for in-class demonstrations. Students can be pointed to this site for a quick introduction or review of average value concept.
Concerns:: A description of what is happening when using the slider is included under the applet. Some users might benefit from a brief description of where the formula for calculating the average value comes from.

Rating:
Strengths:: This applet is very interactive and intuitive to use. Slider feature is very helpful.
Concerns:: None