Students confuse the two Mean Value Theorems - the Mean Value Theorem for Derivatives and the Mean Value Theorem for Integrals. Comparing them side by side reinforces that one deals with slope and one deals with net area, Algebra I vs. Geometry. In this foldable the students list the conditions to apply the theorems and the symbolic theorem, discuss the geometric interpretations of the theorems, and work examples symbolically, with a tabular function, and graphically. The examples do not involve the transcendental functions which are introduced in a later chapter in our textbook.
All my foldables are self-guided which allows the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book. Hope this is helpful. Enjoy!
This is the fifth foldable for Ch. 4 in our calculus textbook on integration thus the numbering 4-5. You can find other foldables related to the integration chapter at
Calculus Foldable 4-1: Simple Antiderivative Rules
Calculus Foldable 4-2: Integral as Area
Calculus Foldable 4-3: Integration Strategies
Calculus Foldable 4-4: Fundamental Theorems of Calculus
Table of Contents for the integration chapter in my Interactive Notebook:
Calculus Interactive Notebook 4: Integration
Mean Value Theorems of Calculus © 2017 by Fan’s Math