Average Value Of A Function
Pupils engage in a study that is concerned with the value of a function. They solve problems using a variety of resources and use the example problems as source for scaffolding. The teacher can use them for the purpose of instruction.
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Rolle’s Theorem and the Mean Value Theorem
Using the derivative to apply the Mean Value Theorem and its more specific cousin, Rolle's Theorem, is valuable practice in determining differentiability and continuity on an interval. This presentation and accompanying worksheet walk...
10th - 12th Math CCSS: Adaptable
Challenge Sheet 3: Average Value of a Function
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
12th - Higher Ed Math
What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9
It seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.
13 mins 11th - Higher Ed Math