Students state the two fundamental theorems of Calculus. (I call them First and Second Fundamental Theorems, but different textbooks teach them in different orders – same theorems!!!) The students then work lots of examples with each – symbolically, graphically, abstractly, using a tabular function and in an application problem. Comparing them side by side reinforces that one of them is the integral of a derivative and the other is the derivative of an integral. 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 fourth foldable for Ch. 4 in our calculus textbook on integration thus the numbering 4-4. 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 4-5: Mean Value Theorems of Calculus
Table of Contents for the integration chapter in my Interactive Notebook:
Calculus Interactive Notebook 4: Integration
Fundamental Theorems of Calculus © 2017 by Fan’s Math