Calculus: Area Under A Curve

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Calculus: Area Under A Curve

This lesson is designed for AP Calculus AB, AP Calculus BC, Calculus 1, and Calculus Honors. It is the first lesson from Unit 4, Integration.

The lesson includes:
   ♦ Guided Notes handout
   ♦ Fully-editable SmartBoard presentation
   ♦ Homework assignment
   ♦ Completed set of notes
   ♦ Full solutions

Students will understand the "area under the curve" problem of calculus. They will explore the trapezoidal rule. These examples are presented in graphical, numerical, and tabular formats for rigor and variety.

The unit includes:
1) Area Under A Curve
2) Trapezoidal Rule
3) Antiderivatives & Indefinite Integration
4) Riemann Sums & Indefinite Integral
5) The Fundamental Theorem of Calculus
6) Mean Value Theorem & Second Fundamental Theorem
7) Integration By Substitution
8) The Accumulation Function
9) Natural Log Integration-No Trig
10) Natural Log Integration and Trig
11) Exponential Functions-Integration
12) More Transcendental Functions
13) Inverse Trig Functions-Integration
14) Another Look At Particle Motion

You may also be interested in the Integration Review & Assessment Bundle.

You need Smart Notebook software to run the presentation. It can be displayed through the software and a projector. If you don't have a SmartBoard, you can also use an IPAD App, such as SplashTop, to remotely write on the presentation. You can also use Smart Notebook Express.

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Created by Jean Adams , ©2015 Flamingo Math™, LLC
Total Pages
18+6 keys
Answer Key
Included
Teaching Duration
50 Minutes

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Calculus: Area Under A Curve
Calculus: Area Under A Curve
Calculus: Area Under A Curve