1) Simplest model. Lines have to touch vertices of original triangle.
2) I can make 2 sides and the middle quadrilateral, but thet the third side is a pentagon
3) I can make all 3 sides quadrilaterals, but then the middle is a triangle
4) How can I divide up the middle so that it is no longer a triangle? Am I allowed to have lines starting from the midpoint of my inner triangle?
5) Assuming my lines don't have to start at the vertices of my inner triangle, this is the simplest solution. If they do, then this is cheating and there's no solution.
I wasn't sure where to post my comments on your project presentation since you hadn't posted the group project write-up. I will just put it here!
ReplyDeleteGeometry of design: Meghan, Michelle, Paul
Great poster! Very nice analysis of King Tut sarcophagus (especially the pentagon).
Assessment of original project: Good critical thinking. (I didn’t realize that you could google “geometric patterns in King Tut’s tomb”).
A refutation: “this won’t be on the final exam” : put it on a unit test/ exam! That is under your control as a teacher. If you ‘evaluate what you value’, kids will see that you consider it to be important.
Own project: Question: compass and staightedge – AND protractor? (Protractor was not traditional, and takes away from the minimalism of compass and straightedge).
Great new project idea!
Generally: Well presented – clear, everyone doing part of the presentation, good speaking style, own project: nice handouts. Very good!