This write-up was actually based off of six different problems that we went around in class one day and solved; hence, the title "Station Work." We chose one problem that had extensions - either problem 1 or problem 8 - and solved the extensions before writing the whole thing up in a "mini write-up" worth only 7 points, as opposed to the normal 10 or 20. I chose problem 8. Click here to view my problem write-up.
Click here to view my write-up for the Just Count the Pegs problem. Since my class has now moved out of our probability unit and on to geometry, this problem was about geoboards, and how to find the area of any polygon on a geoboard. A geoboard is simply a rectangular board with a regular grid of pegs on it. Polygons are made by stretching something - perhaps string or a rubber band - around the pegs to form a shape with its vertices at certain pegs. I had no difficulty solving this problem, but it was fun nonetheless.
The Spinners and Cards Problems were actually two separate problems presented as one. Both related to weighted probability; the Spinners problem was a combination of geometric and numerical weighted probability, and the Cards problem had no geometric aspect. Both were excellent examples of weighted probability; as a bonus, they were awesomely complicated, especially the Cards problem. Click here to view my write-up.
The Rug Games problem was an exercise in theoretical probability relating to Geometry. Upon completion of this problem, we did a write-up of it. Click here to read my write-up, which includes an explanation of the problem, an explanation of the solving process and solution, an extension that I created and solved for the write-up, and a reflection on the problem.
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