Transformation Week: Inversion (March 30)

by SamE, Jun 17, 2006, 3:21 PM

Math club meeting for Thursday, March 30. Topic: Inversion. Students: 3, Robert, Deep and Lucas. Handout: page 1 page 2 page 3 page 4
(see it)

Today, I quickly presented the topic of inversion in or about a circle. We proved most of the cases presented in the handout (mostly with my guidance), but didn't get to any of the problems.

Test #6 (March 31 and April 3)

by SamE, Jun 17, 2006, 3:21 PM

Math club meetings for Friday, March 31 and Monday, April 3. Students: Handout: page 1 page 2
(see it)

Since we had never gotten completely through the test problems I had been giving out, we just spent both Friday and Monday doing these problems. I presented solutions when it was apparent no one was going to get the problem, but otherwise, I just asked questions.

Triangle Week: Cevians II (March 23)

by SamE, Jun 17, 2006, 3:21 PM

Math club meeting for Thursday, March 23. Topic: Cevians 2. Students: 3, Lucas, Deep and Robert. Handout: page 1 page 2 page 3 page 4
(see it)

On Thursday, we discussed Ceva's Theorem and Stewart's theorem and applied them to each of our three cevians. Since this took the whole time, we discussed the circumcircle, nine-point circle, and excircles on Friday.

Triangle Week Review (March 24)

by SamE, Jun 17, 2006, 3:21 PM

Math club meeting for Friday, March 24. Topic: Review topics of Triangle Week (March 21-23). Students: 1, Deep. Handout: See Test #5.

Here is a list of topics and theorems we studied this week:

Formula for $\cos C$ in a triangle
Cevian
Excircles
Angle bisector
Orthocentric quadrangle
Circumcircle
Angle Bisector Theorem
Medial triangle
Incenter
Law of Cosines
Trig version of Ceva's Theorem
Median
Orthocenter
Formula for obtuse triangles
Nine-point center
Circumradius
Extended Law of Sines
Centroid
Inradius
Nine-point circle
Circumcenter
Orthic triangle
Altitude
Formula for inradius
Ceva's Theorem
Stewart's Theorem
Incircle
Euler line

First, I went through the topics we had yet to do on Thursday. Then, I went through each of these and made sure Deep knew them.

Test #5 (due March 27)

by SamE, Jun 17, 2006, 3:21 PM

Here's the test: page 1 page 2
(see it)
Due to our new scheduling, Fridays will be review time for the take-home test. On Monday, I will only give solutions to the problems from sections 2 and 3, but still never in full. Section 1 problems are problems that require simply plug-and-chug applications of the theorems we went over during Triangle Week. Section 2 involves some of the harder problems that use the theorems discussed during Triangle Week. Section 3 is the old Upcoming Contests section, 5 problems from previous years of upcoming contests.

Since chess64 just showed me how to include images in posts (it's not that complicated after all), I've included the test in hide mode above.

Big thanks to chess64!

by SamE, Jun 17, 2006, 3:21 PM

I want to thank AoPS user chess64 for enlightening me with the great mystery of posting images in blog posts. Gone are the days when you must enlarge an image after opening it in another window! Now, you only have to make one click, and poof! they're all there.
:yup: :coolspeak:

Technology is improving day-by-day.

March-April Schedule

by SamE, Jun 17, 2006, 3:21 PM

The schedule for March and April in Poudre Math Club
Don't click if it's still loading the pictures.

Test #5 Wrap-Up (March 27)

by SamE, Jun 17, 2006, 3:21 PM

Math club meeting for Monday, March 27. Students: 1, Deep. [Test: page 1 page 2]

Since Deep was the only attendee, and he hadn't had time to do the test, he worked on the problems from the first section the whole time. We have to move on, so consider this just a challenge to all of you AoPS-ers out there. Post any solutions you get. Problems in the first section are worth a point a piece, second section are 5 points, and those in the last section are three points apiece. And no looking up answers either. That's cheating. Whoever gets the most points wins!

Transformation Week: Transformations I (March 28)

by SamE, Jun 17, 2006, 3:21 PM

Math club meeting for Tuesday, March 28. Students: 2, Deep and Robert. Handout: page 1 page 2
(see it)
I spent all of today discussing the method of using complex numbers to solve geometry problems. We derived a couple equations for lines in the complex plane, including the general line through points $A$ and $B$. Since we didn't discuss transformations (with the exception of observing what a rotation does in complex numbers versus coordinates), I told Deep and Robert to read the handout and work on the problems for homework. We'll see if that happened tomorrow.

Transformation Week: Transformations II (March 29)

by SamE, Jun 17, 2006, 3:21 PM

Math club meeting for Wednesday, March 29. Students: 2, Deep and Lucas. Handout: page 1 page 2
page 3
(see it)
Today, I went through each of the transformations and what they are useful for, actually going through the packet, including the examples. We'll cover inversion tomorrow, and then be done, for this year, with geometry!

I made a typo in section 1.4.1: it should say "distortions," not "dilations" in the first sentence.

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SamE
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  • Your handout can't be seen since it said:"Not found" when I click to the handout. :( .Can you re-u

    by ghjk, Aug 22, 2008, 8:36 PM

  • Haha, that's something I like to do when I get at least 4 pairs or groups of angles that are equal. One tick-mark for the first pair, two for the second, and three for the third, but the fourth pair gets a "IV" tick-mark, etc. using Roman numerals to make it shorter (so you don't have to draw four lines through one angle).

    by SamE, Apr 9, 2006, 12:55 AM

  • What are roman numeral tick marks for angles?

    by chess64, Apr 8, 2006, 11:36 PM

  • If you are logged in and it won't let you see them, tell me. That WOULD be weird.

    by SamE, Apr 8, 2006, 5:47 PM

  • "Not authorised.":
    Basically, you have to be logged in to see the handouts. I don't have any control over that.

    by SamE, Apr 8, 2006, 5:46 PM

  • Printing the handouts actual size:
    The closest you can get is to save each page to your hard drive, then print them out like you would a picture. It's a real bummer that I can't post the PDF's; maybe, once I'm all done, I'll be able to compile them all together into one big PDF.

    by SamE, Apr 8, 2006, 5:37 PM

  • i tried to open up test #5, but it said 'not authorised.' :(

    by Ceva Theorem, Apr 3, 2006, 5:17 PM

  • figured that out (took long enough;) Now i wonder how i can print these handouts actual size...

    by quantum leap, Apr 3, 2006, 3:14 AM

  • hey, how do you open up the blog in its own window?

    by quantum leap, Mar 31, 2006, 10:42 PM

  • This is the place to ask questions, make comments, etc. about the club or anything we do.

    by SamE, Dec 19, 2005, 6:46 AM

  • Anyone have any questions?

    by SamE, Dec 19, 2005, 6:43 AM

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