Mean Value Theorem Teacher Resources

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...

Sal spends most this video explaining what the Mean Value Theorem says in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average...

This Mean Value Theorem and Rolle's Theorem worksheet is very thorough in explaining the two Theorums and showing the formulas.  There are six prractice problems for classwork, and eight additional problems for homework.

Rolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...

In this Mean Value Theorem, students determine values of a function. They identify the domain, main, maximum and minimum values of a function. This two-page worksheet contains three problems.

AP Calculus students examine the procedure for determining if the Mean Value Theorem applies to a given function. with a video that discusses the requirements needed. The instructor approaches the problem from both a graphical and...

High schoolers calculate the slopes of secant lines. In this calculus lesson plan, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.

In this mean value worksheet, students read a short story problem about driving from one city to another. They use the given information and the mean value theorem to determine why an officer stopped the driver and issued a ticket. ...

In this intervals activity, students determine the coordinates at a point of inflection.  They compute the deritative of a function and sketch curves that satisfy given conditions.  Students solve equations using the Mean Value Theorem...

In this mean value theorem worksheet, students solve and complete 8 various types of problems. First, they sketch the graph of a function and find all local and absolute extrema on the interval given. Then, students find the critical...

In this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Students...

Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.

In this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...

Twelfth graders explore the Mean Value Theorem.  For this Calculus lesson, 12th graders determine if the Mean Value Theorem holds for a given function and if so, determine the equation of the tangent line.

In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.

Students are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...

In this absolute extrema worksheet, students solve and complete 6 various types of problems. First, they locate the absolute extrema in each given interval. Then, students find the value to satisfy the mean value theorem. In addition,...

Students explore the concept of the mean value theorem.  Students use their Ti-Nspire to explore the mean value theorem using secant and tangent lines.  Students find the derivatives of functions like x^2 or sin x.

Twelfth graders investigate the applications of the mean value theorem. In this calculus instructional activity, 12th graders apply the concepts of the mean value theorem to real life scenarios problems and relate it to Rolle's theorem....

Students explore the mean value theorem. In this calculus lesson, students identify the slope of the tangent and secant line. The goal is to make the slope match.

Students create models of the Mean Value Theorem.  In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the throrem, create...

In this linear function worksheet, students solve and complete 4 different parts of a problem. First, they find the linear function using the correct units and explain the meaning. Then, students find the value or explain why it does not...

Students identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.

In this differentiation worksheet, students differentiate functions, sketch graphs of functions, determine the area of inscribed polygons, and use the Mean Value Theorem for functions and intervals. This four-page worksheet contains...