Mike May Exter Newbie Sample Book
Creating a book of materials for some course.
Table of Contents
- First materials
- Angle Bisector construction
- Adding and Subtracting Integers
- Second chapter
- Angle Side angle Applet
- Chapter 3 Applications of the derivative
- Chapter working notes
- Newton's Method
- Linearization and Linear Approximation Demonstration
- Linear (Tangent Line) Approximation
- Optimize area of side-by-side rectangular plots
- Section 2.8-Related Rates-Ladder Falling
- Related Rates - Square
- Learn more about GeoGebra
- Algebra Quickstart
Angle Bisector construction
A simple applet to show that the three angle bisctors of a triangle meet in a single point.
The three vertices of the triangle above can each be dragged to show that the angle bisectors still meet in a single point when we look at other triangles[br]When a mathematician sees a behavior like this that works with all triangles (or at least with a bunch of examples that we have looked at) the suspicion is that there must be a structure that helps us prove that it must always happen. The slider ProofSteps lets us go through the proof. From any point on an angle bisector, we can drop a perpendicular to the two sides and construct a circle that is tangent to those two sides. Moving down the bisector we reach a point where the circle is tangent to all three sides. That point must be on all three angle bisectors.
Angle Side angle Applet
This is a simple applet to explore the construction of triangles with a angle, side, and angle given.
Chapter working notes
Working notes on appplications
There should be something to cover:[br]1) Linear approximation[br]2) Optimization