Monthly Schedule

(Geometry, Periods E and F)

T 12/1/09

HW due: Skim §6.1 (notes optional); read §6.2 (notes required, as always); write §6.1 #2, 4, 8, 14, 15. If you do not have a talent for 3-D sketching, you may trace the diagrams for #8 and #14, but eventually you will need to be able to make serviceable diagrams freehand.

If you spend some time fooling around with the website we visited in class yesterday, and if you make at least one discovery we did not already discuss, then you may write down your discovery in lieu of one of the problems above (your choice).

 

W 12/2/09

Test (100 pts.), Cumulative Through Chapter 5. I strongly recommend that you revisit the previously assigned review problems and the answer keys. (Please see archived calendar entries for 11/19 and 11/23.)

 

Th 12/3/09

HW due: Re-do the two-column proof from yesterday’s test.

 

F 12/4/09

IMPORTANT ANNOUNCEMENT: Because of House Tour on Friday, both E and F period classes will be held in MH-108 (the room closest to Sam’s Bar).

HW due:

1. (Required.) Read §6.3; write §6.2 #4, 5, 6, 9, 15, 16.

2. (Optional.) If you would like some bonus points added to your last test, prove the following logic theorem by contradiction. (No credit for another method, although a Venn diagram is strongly encouraged as a way of helping you understand what is going on, so that you can get started.)

Given: All flurz are glurz.
            Some flurz are not hurz. (Note: It is not given that some flurz are hurz, but that does not matter anyway.)
            All lurz are hurz.
Prove: Some glurz are not lurz.

 

M 12/7/09

HW due: Read §7.1; write §6.3 #1, 3, 4, 6, p. 288 #1, p. 292 #8, 10.

Remember: As has been the case all year long, there is no credit unless you furnish setups and diagrams. It is especially important to remember this policy when you get to #1 on p. 288.

 

T 12/8/09

HW due: Read §7.2 and the midterm exam tip sheet; write §7.1 #3, 4, 5, 6, 10, 12, 15, 16. If you bring a note from Mr. Findler stating that you have made an appointment to work on an exam study plan, you may omit any two of the problems (your choice) without penalty.

You do not need to start studying for the midterm exam yet. However, you should be thinking about it and starting to consolidate your knowledge. If you have never taken a comprehensive exam before, you need to know that this will require a considerable amount of preparation. You should plan to begin preparing for the midterm exam before Christmas break. If you need help putting together a study plan, please see Mr. Findler in the STAySmart Center.

 

W 12/9/09

HW due: Read §7.3; write §7.2 #3, 4, 5, and translate the Midline Theorem proof into a 2-column format.

 

Th 12/10/09

HW due: Read §7.4; write §7.3 #6, 10, 11, 13, 14. People who did not do yesterday’s assignment also need to finish that up for today’s scan.

 

F 12/11/09

HW due: Read §8.1; write §7.4 #1, 2, 3, 4, 8a, 13.

 

M 12/14/09

HW due: Write §8.1 #1, 3, 4, 6, 10. Some of the solutions are posted here if you get stuck.

Highly recommended review problems (do as many as you can over the weekend, and do the rest on Monday night as you prepare for the test): pp. 289-290 #7, 11, 16; pp. 320-321 #3, 4, 9-16 all, 19, 20, 21, 26.

 

T 12/15/09

Test (100 pts.), cumulative through §8.1. There will be no clock problems on this test, but other than that, all material since the beginning of the year is fair game.

Proofs for which you are held responsible (you may be asked to reproduce these from memory, including the sketches):
     (1) Angles of any triangle add up to 180 degrees.
     (2) If two parallel planes are cut by a third plane, then the lines of intersection are parallel.

You now have 5 ways to prove triangles congruent: SSS, SAS, ASA, HL, and AAS. Remember, SSA is not acceptable in general, since unless you know in advance whether both triangles have to be acute, right, or obtuse, there are usually two noncongruent triangles, one acute and one obtuse, that can be formed satisfying an SSA condition.

 

Also note: Even if you know you have two right triangles, it is not enough to check two pairs of sides willy-nilly. If you have two right triangles that have a leg of the same length and a hypotenuse of the same length, the triangles are congruent by HL. If the right angle is the included angle for both, and two pairs of legs are congruent for the two triangles, then the triangles are congruent by SAS. However, if you have hypotenuse, leg, right angle for one and leg, right angle, leg for the other, then the triangles are not congruent.

 

W 12/16/09

HW due: Read §8.2; write §8.1 #11 (two answers for each), 13, 22, §8.2 #2, 3, 7.

 

Th 12/17/09

HW due: Read §8.3; write §8.2 #9, 13, 14, and prepare for a Quiz (10 pts.) on all of the perfect integer squares through 20.

Recall that 12 = 1, 22 = 4, and so on through 102 = 100. (Presumably, you learned these in Lower School.)

The rest are things you should have learned in Lower School but perhaps did not:

112 = 121, 122 = 144, 132 = 169, 142 = 196, 152 = 225, 162 = 256, 172 = 289, 182 = 324, 192 = 361, 202 = 400.

 

F 12/18/09

HW due: Attend Lessons & Carols at the Cathedral (7 p.m.) and make sure I record your presence. I will be sitting near the front of the nave. If you are not able to find me to have your presence recorded, then do the following problems as a substitute assignment: §8.3 #12, 22.

In class: Watch video.

 

 

Christmas break.

 

 

Return to the Geometry Zone

Return to Mr. Hansen’s home page

Return to Mathematics Department home page

Return to St. Albans home page

Last updated: 20 Jan 2010