A Problem to Ponder Throughout the Summer
As a way to belay her grading of exams, MJ (Bellingham) sent the following "Problem to Ponder" via an e-mail to multiple people....
"...here are a couple of questions I was pondering about the triangles above. They are not quite to scale but close.
Be sure to make an intuitive guess before you start cranking.
Back to my exams."
- Which is closer to being "equilateral"?
- Which has more area?
- Any other questions you want to ask, such as what is the ratio of the areas, etc.?
- For what grade level is this appropriate?
Commentary on solutions to problems is available
only after a problem is placed in the website's archive.
If your students (or you) have
interesting solutions or insights relative to these problems,
them to the Math Partnership Project, c/o Jerry Johnson, Western
University, Bellingham, WA 98225-9063. All submissions
will be considered
for inclusion as part of the commentary in the archive