Changes Changes Changes

I have decided to change up a few things in class. As you all know I am now grading homework according to the "check" system invented by our predecessors. In addition, here are the other things you will be responsible for:

1.)You will correct your NAF Quizzes every week. The way you will begin this process is to correct all three of your NAF Quizzes from this week only. If you were not in class there is no excuse; they are posted on this blog and you will do them at home.

2.)You will turn in your three corrected NAF Quizzes every Monday. Therefore, the quizzes above will be turned in this Monday coming up 11-5-07.

3.)Make your NAF corrections on the back of the quiz. The quizzes will be stapled when you turn them in to me.

What I am planning to do with your work is compile a "Portfolio of Progress". I will keep samples of your work (NAF Quizzes, homework grades, etc.) as time progresses.

Tomorrow you have a homework check so make sure you have completed the homework. The check will be 5min in length. Good Luck!

As for tonight there is no homework. Oh, by the way the NAF Quizzes are published below.

Homework: Mon. 10-29-07

For homework I want you to prove the Hypotenuse Leg Theorem in Section 4.4 pg. 241.

Student Questions About The Geometry Portfolio

Student Question: Mr. Kowal-for the studentexample on thursday's in class question, should we write a paragraph explaining what we are going to do, and then a seperate paragraph actualy doing it; or should we just merge both paragraphs.
Answer: Your question only concerns #4. For problem #4 you are to write one paragraph that explains what you are going to do mathematically in order to prove that segment AB is perpendicular to segment BC. It should resemble, in form, the student's in-class Thursday example. Next you will show me the mathematics that corresponds to what you have said in your paragraph for this problem.

For #5 just give me the mathematics. It's proven the same way as #4. For #1-#3 just write me the paragraph proofs. Let me know if this helps.

Week 9: NAF Quizzes

Please turn these 3 quizzes in with your Portfolio that I have posted below. Directions for turning in these quizzes are listed in the Portfolio's Directions. Not following directions will result in a loss of points!

Final Exam: Your Geometry Portfolio

Directions
What Mr. Kowal Knows
When working and writing your solutions to the exercises I’ve posted you need to assume that I do not know anything about Geometry. In fact, the only thing you can assume that I do know is the following:

1. I know what lines, segments, points, rays, and angles are
2. I know what an “opposite side” is
3. I know what non-common sides are
4. I know that angles are measured in degrees
5. I know that if two lines intersect the angles formed by the two pairs of opposite rays make ONE 90 degree angle. I do not understand if more right angles may exist; you need to prove this fact

In addition to my limited knowledge as a teacher of Geometry I have a weird condition of amnesia. You see, when I read a proof of yours I do not remember anything you have proved once I finish reading it. Because of this condition, if you think I remember or know some fact that you have proved in one exercise I DON’T- you need to re-prove everything in your subsequent examples.

What Mr. Kowal’s Students Know
Here is a list of definitions and two theorems you know if you had Mr. Kowal as a student in Geometry:

1. You know everything that I know above.
2. You know the definition of Vertical Angles
3. You know the definition of a Linear Pair
4. You know what corresponding, alternate interior/exterior angles are
5. You know that given two lines that are cut by a transversal that

-if alternate interior angles are congruent, or alternate exterior angles are congruent, or corresponding angles are congruent then the two lines that are cut by the transversal are parallel

-likewise, if the two lines that are cut by the transversal are parallel then alternate interior angles are congruent, or alternate exterior angles are congruent, or corresponding angles are congruent.

The only condition in stating that objects are a linear pair, vertical angles, etc. is that you have to show me that the necessary conditions exist in order to give rise to mathematical object's existence. For instance, if you say that two angles are a linear pair then you better show me that there exists two angles whose non-common sides form opposite rays; if you do not then I will ask why and deduct points.

I have provided an example of how a student proved #43 on pg. 160. It is posted below. The student’s work is perfect. Notice how he shows the existence of every geometric object instead of just stating that angles are a linear pair or lines are parallel. Your proofs need to model this example if you want full credit.

Organization of Your Portfolio:

In order to receive full credit then your work must be assembled in the following manner:

1. Only one proof per page. ALL PROOFS WRITTEN IN PARAGRAPH FORMAT like the example provided below #43 pg.160
2. Use only copy paper.
3. Draw any pictures that I give you on your proofs so I can follow what you are saying about the picture when I read your proof.
4. Staple all of your proofs together and then staple, separately, all of your NAF Quizzes. I will not have a stapler in class Monday.
5. Put your name on all of your work.
6. Place all of your work in a manila folder.
7. Your portfolio is due Monday morning at 7:45. I will be in our classroom at this time. Turning the portfolio in late will make you lose points.

Homework: Wed. 10-3-07--Pg. 160 (42, 43)

The answer to the measure of angle 1 is 60 degrees. You will need to use the fact that the interior angles of a triangle sum to 180 degrees. Your quiz tommorrow will be of the same flavor!

EXTRA CREDIT: Due Wednesday, Oct. 3rd, at 8 a.m.

The Proof of Parallel Lines