Second+Quarter+Project+--+Circumcenter

Your project for the Second Quarter is to select three coordinate points to create a scalene acute triangle, and then calculate the coordinate for the Circumcenter of that triangle. You may do your work either on paper or on this Wikispace. If you choose to do you work on this Wikispace, you will earn an extra 20 points. You may work with one other student, who must be in the same hour as you. You may also do this project on your own. I encourage you to look and see what others are doing who choose to do their work on this Wikispace, and to comment on and/or ask questions of their work or them. Do not edit their work. Big brother is watching! I can see exactly who has done what on each page. Please use the discussion tab (top of every page) to add a comment or ask a question of the authors.

The due date for this project is January 6, 2011 (Thursday). You will have some time during class to work on this project. The amount of time is as yet uncertain, but will be at least one full class prior to winter break, and one full class after winter break, probably more.

If you choose to do your work on this Wikispace, your Wikispace is your submittal. Make sure your first name(s) and last initial(s) are on the top of your page. DO NOT INCLUDE YOUR FULL LAST NAMES!!!! Pictures of handwritten work embedded in the Wikispace are perfectly acceptable, as long as they are clearly legible. If you choose to do your work on paper, please make sure it is neat and orderly. Handwritten submittals are OK.

The basic procedures for this project will be:

Your grade for this project will be based on the following criteria: · Neatness (10 points) · Accuracy (40 points) · Original triangle is plotted and vertices are labeled with their coordinates (10 points) · Two midpoints are plotted and labeled with their coordinates (10 points) · Calculations are shown for the lines that are the perpendicular bisectors of two sides of the triangle (10 points) · Calculations are shown for solving the system of two equations (10 points) · The circumscribing circle is plotted (10 points) · Bonus: Put your work on Wikispace (20 points)
 * 1) Select three coordinates at random. Plot those points on a graph to make sure that they form a scalene acute triangle.
 * 2) Find the midpoints for two sides of the triangle. Plot those points to make sure they look correct.
 * 3) Find the equations for the lines that contain those two sides of the triangle.
 * 4) Find the equations for the perpendicular bisectors of those sides. Plot those lines to make sure they appear to be correct.
 * 5) Solve the system of two equations to find the circumcenter. Check to make sure that the calculated coordinates appear to match where the two plotted perpendicular bisectors intersect.
 * 6) Calculate the radius of the circumscribing circle. Draw the circle that circumscribes the triangle.

To create your page for the first time, go to "New Page" at the top of the left column, give your page a name, and then click on "edit this page" and type in your names (remember, use only your first name and last initial), "Second Quarter Project", and which hour you are in. I will then add a link to your page to this page, like the one(s) shown below.

@Mr Monnot Demo

@LockerBuddies☺

@Guess Who.

@Math Nerds (= (Lauren and Shelby)

@Team Squiggly Line

@TeamAdwag-HdDubz

@The '

@Rachel and Shannon

@Sara and McKenna

JR

@120% Project

@Becca B

@HannahShellyBeans

@Knappy Brono

@microphone's

@Paige

@Team Blonde

@The Double KS's

@WE are some flamboyant osrtiches and husky pineapples

@ZachW and AlexV

@(insert team name here)

@Derek's Project

@K Diddles Alumni

@los guapo chicos!

@Maddie

@NONAME

@Sam M

@Yes I`m a Loner

@И. М. прохладнее, чем вы все

@Jake B

@BOYS HAVE COOTIES BUT SO DOES DARCIE!!

@Bridget and Danielle

@Beth and Maddie

@Brettt and Vladdd

@Circumcenter of Triangle

@Khia K

@Mr. Rager and his Brontosaurus

@Second Quarter Project -- Circumcenter

@BO PLUS TROY EQUALS SUCCESS

@Team Ellah

IRONNN WOMMEENN

@Megannnnn and Beccaaaaa ;)

@BO PLUS TROY EQUALS SUCCESS

@Ben and Jacob

@Becky S and Caitlin C

@Circumcenter Project

@ironwomen! caitlin and becky

@Megan and Becca ;)

Shannon and Miska