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| In an isosceles triangle, the sum of the square roots |
| of the two equal sides is equal to the square root of |
| the third side. |
| --The Scarecrow in The Wizard of Oz |
| by L.Frank Baum |
Dear Geometry Explorer,
Welcome to Geometry 201! The focus of this course is on the practical
applications of geometry. It is also designed so that you have fun with
geometry. In Geometry 210 you "learn by doing." You will learn the tools
of geometry and to perform geometric investigations with them. Your
investigations will lead you to geometric discoveries. Many of the
geometric investigations are carried out in small cooperative groups in
which you jointly plan and find solutions with your fellow
students. When working cooperatively, you can accomplish much more than
you can individually. Best of all, you will have less anxiety and a whole
lot more fun. Additionally, you will use the technology provided by a
graphing calculator and Geometer's Sketchpad to help in your
investigations.
The text for Geometry 201 is Discovering Geometry: An Inductive Approach by Micheal Serra. The basic tools required for this course are:
For chapter 10 I will calculate your grade based on the following requirements and points. Your grade will be averaged from about 150 total points. This will vary slightly based on how I see the class working and progressing. For example, is I see the whole class working very hard on a exercise, I might decide it would be more fair to weight it more.
In this chapter you will discover a property of right triangles know as the Pythagorean Theorem. The Pythagorean Theorem is one of the most important concepts in all of mathematics. You will encounter the Theorem of Pythagoras and its applications in many other math classes, such as calculus. In this chapter you will also discover a number of conjectures related to the Pythagorean Theorem that you will use to solve problems.
| Day | Lesson | Subject | Assignment |
|---|---|---|---|
| 1 | 10.1 | The Theorem of Pythagoras | 1-15 & Journal Entry |
| 2 | 10.2 | Is the Converse True? | 1-15 & Improving Algebra Skills |
| 3 | 10.3 | Word Problems | 1-13 & Graphing Calculator Investigation |
| 4 | 10.4 | Two Special Right Triangles | 1-35(odds), Quiz 10.1-10.3 |
| 5 | 10.5 | Multiples of Right Triangles | 1-30(even) |
| 6 & 7 | 10.7 | Distance in Coordinate Geometry | 1-14 & Do this problem within your groups. Quiz 10.5-10.7 |
| 8 | 10.8 | Circles and the Pythagorean Theorem | 1-16,Each group will submit a Journal Entry outlining their proposed solutions. |
| 9 | 10.9 & 10.10 | Pythagorean Potpourri & Chapter Review | 10.9:1-28(even);10.10 1-36(odds);Work in your groups to solve these two applications of the Pythagorean Theorem |
| 10 & 11 | 10.11 | Cooperative Group Project-Pythagoras in Space | |
| 12 | 10.12 | Chapter Exam |
Prior to the start of our exploration of the Pythagorean Theorem during Chapter 10, I want you to submit a Journal Entry that outlines your understanding of the Theorem of Pythagoras.