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.
(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.
(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
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.
Here is a list of topics and theorems we studied this week:
Formula for

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.
(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.

Technology is improving day-by-day.


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

Note that this covers the rest of the year, and is of course subject to revision. When I do change it, I will be sure to post it here.
Don't click if it's still loading the pictures.
Note that this covers the rest of the year, and is of course subject to revision. When I do change it, I will be sure to post it here.
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!
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
and
. 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.
(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


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.
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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