Midterm Exam Part One: Take Home (given October 3rd --- due October 10th)
Part A: Reaction Paper
Reaction Paper Preparation
Write a 3 - 5 page typed paper (double spaced with font size of twelve) in which you reflect on the above reading, the portion of the Geometry Standard it represents, the Technology Principle, the Reasoning and Proof Standard, the deVilliers reading on functions of proof, any other readings you feel apply, and your experiences in this course so far.
Cite your references!!
Note: This Paper is due at the beginning of class on October 10, 2000...no late papers will be accepted. Please have a hard copy ready to give to your instructor at the beginning of class and place a copy of the file in your class folder.
Part B: Mathematical Investigation
will see a table in which you are assigned a new triangle center to investigate.
You may work with all four people in your team and turn in one write-up (one for the entire team),
or you may pair up and thus turn in two write-ups (one for each pair),
or you may work individually and turn in your own write-up...Get the idea?
Your write-up should include, but is not limited to:
The center of the nine-point circle.
The point of tangency of the
nine-point circle and the incircle.
Suppose ABC is a triangle. Let points D,E,F be points for
which the threetriangles DBC, CAE, ABF are equilateral. Let
G = center of triangle DBC,
H = center of triangle CAE,
I = center of triangle ABF.
The lines AG, BH, CI meet in the first Napoleon point.
Write I for the incenter; the Euler lines of the four
triangles IBC, ICA, IAB, and ABC concur in the Schiffler Point
In the plane of any triangle ABC, let
A'BC = the equilateral triangle constructed on side BC,
AB'C = the equilateral triangle constructed on side CA,
ABC' = the equilateral triangle constructed on side AB.
The lines AA', BB', CC' meet in the Fermat point
|Mary Beth Miles
Note: Please post this assignment to your web page by Tuesday, October 10th at 8:00am! Make sure that all the names of the people you worked with are documented on your write-up. Thanks!!
I CAN'T WAIT TO SEE YOUR WORK!!
I KNOW IT IS GOING TO BE REFLECTIVE, THOROUGH, CREATIVE, MATHEMATICALLY RICH, AND VERY INTERESTING :)