Final Exam Essay

Well I don't think anyone solved the World's Easiest Hardest Geometry Problem. Therefore, your here either because I refered you here to get your essay question for the Final Exam

Note that this essay will be written at home and turned in on Thursday at school. When you show up to take your final exam you will work on a surface area/volume problem for the two hour period.

Your Essay:
Part I
1.) Read pg's 233-237.
2.) In your words describe what Fermat's Discovery is proposing.

Part II
1.) What is a tangent line and describe its development by having secant lines from point M and M' become infinitely close; that is, don't allow M to move and then have M' become closer and closer to M as illustrated in the book's drawing on pg 235.
2.) From 1 above, describe what would be taking place to the slopes of the secant lines from M to M' if M is not allowed to move and M' approaches M.
3.) Finally, explain what slopes from 1 2 above have anything to do with the slope of the tangent line?

Part III
1.) Finally, explain how the approximated surface area of the curve on page 236 is related to the Watje-Kowal Cranium Cracker we did in class.
2.) Instead of using cylindrical shells, draw a 3-dimensional view of a "narrow band", in this case a "narrow shell", that would better approximate the surface area of the spherical cap- i.e. the Watje-Kowal Cranium Cracker

Here's the additional information that will help illustrate the process that is being explained in questions 1-3 in Part II. Pay attention to Figure 1 (b); the rest is for your reading and enjoyment.

If you have questions you need to see me after school- let's say during the tutoring session 2:45-3:45 or if catch me before then.

The essay is due on Thursday before school ends.

Best,

Mr. K

Chapter 12 Test

Chapter 12 Test Due Monday in the morning at 8am. Find me and turn it in.

I'll have a list of essay questions for your final exam posted later this weekend. Check again on Sunday morning.

Email me with questions: rkowal@aims-unm.org

Have a good weekend!

-Mr. K.

Chapter 11- Quiz and Test Directions

Posted below are three quizzes that will allow you to demonstrate that you understand Chapter 11 and give you a chance to amortize your grade on the Chapter 11 Test.

The directions on how to present to me your answers and work is as follows:

1.) You will need to turn your quizzes and Standardized Test in using a folder with two pockets.

2.) The answers to your quizzes will be presented on the "QUIZ ANSWER TEMPLATE" that I have provided below.

3.) The answers to your Standardized Test will be presented on the "Standardized Test Template" that I have provided below. The X's mean don't do the problem.

4.) Notice that you will have to turn in a different answer template for each quiz you take. All together you should have three different "QUIZ ANSWER TEMPLATES" and one "Standardized Test Template"

5.) Make certain that you put an X next to the #1, #2, or #3 at the top of the quiz answer template so that I know what quiz the answers you've provided belong to.

6.) If you have come to tutoring you will have to take Quiz #2. If you have come to tutoring and you don't recognize the quizzes then you are required to take the three quizzes.

7.) Everyone takes the Chapter 11 Standardized Test.

8.)I do not want to see your work; do not include it in the folder that you turn in.

9.) There is no partial credit. If it is not stated in the directions then round your answers to the nearest two decimal places.

10.) Turn the folder in at 7:55am on Monday morning

11.) Put your name on the blanks provided on each answer sheet template.

!!!WARNING!!! I will be lurking around the school to see if you are sharing information on Monday morning. If I see you around other students with anything related to Geometry out then it will be confiscated and you will receive a ZERO on the assignments I collect! I DO NOT CARE about your excuses. Turn the folder in once you come into school!

Chapter 12 Homework

Do the full range of exercises listed for a particular section unless otherwise stated.

12.2 (6-17)
12.3 (6-8, 22-24)
12.4 (4-20)
12.5 (20-25)
12.6 (7-9, 21-23, 38)

Homework check coming soon to a classroom near you!

Chapter 11 Homework and Solutions

Homework

1.) Show the square root of 2 is irrational.
2.) Show that the differece between two odd numbers is an even number.
3.) Show that the sum between two even numbers is an even number.
4.) 11-4: (2, 3-29 odd)
5.) 11-5: (8-12, 14, 19, 26-32, 36)
6.) 11-6: (1-4, 8, 10-18, 23-25, 28, 30, 35)
7.) Chapter 11 Review pg. 780-783 (1-11, 15-22)- Solutions Posted Below











Chapter 11 Review Solutions

Homework Solutions

My computer is acting up and I can't scan in the documents. My apologies; I'll try again tomorrow.

-Mr. K

Portfolio-Quarter 3

Tomorrow you will turn in a portfolio. You will follow the directions below or you will loose points each time you choose not to follow directions.

Directions

1.) Your portfolio is due tomorrow at 8a.
2.) You will turn the portfolio into me in my office between the hours of 7:45-8a. I will be encircling the school to see if anyone is copying from each other. If I find you working on the portfolio with or next to someone then your portfolio will be confiscated and you will be given a written test to prove that you know the material.
3.) Your portfolio will be in a folder.
4.) All work is written on copy paper.
5.) Only one proof (and its corresponding parts) will be written one one sheet of copy paper.
6.) You may write on the back of the copy paper.
7.) If a proof exceeds more than one sheet then you need to staple all sheets pertaining to one proof together. I will not have a stapler!
8.) Each proof needs a picture.
9.) Each proof needs to specifically state what is GIVEN and what needs PROVING.
10.) The proofs need to be in order. That order is given in the list below starting with A.) and ending with I.)

Contents:

A.) Show that the shortest distance between a point, P, in space and a line/segment AB is itself a segment PQ that intersects AB at a right angle.
B.) Theorem 10.2
C.)Theorem 10.3
D.) Theorem 10.4
E.) Theorem 10.5
F.) Theorem 10.6
G.) Theorem 10.7
H.) Theorem 10.8
I.) Show that if an inscribed angle ABC, has endpoints A and B on the diameter, AB, of circle P then angle ABC is a right angle. You can not use an algebraic proof. Note- B is the vertex of angle ABC and B is on the circle P.
J.) Show that if a quadrilateral DEFG is inscribed in circle C that its opposite angles are supplementary.

Good Luck.