The basic goal of this is to make an activity to investigate some aspect of geometry with Sketchpad, analogous to the activities we have done from Active Geometry. Groups may be up to 3 people in size.
What is to be produced is: necessary sketchpad files (sketches and/or scripts) , Focus/Tasks document to guide students through the activity, and a completed Focus/Tasks document with the answers you are hoping to elicit.
No more than two groups are allowed on any one topic. Topics off the list are okay upon approval.
Time will be given in class in our remaining classes in the computer lab.
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Motions: |
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Construction: Polygons inscribed in a circle Impossible Constructions (that can be done in sketchpad) Basic constructions with reflections instead of compasses |
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Theorems: Ceva (concurrent points and triangles) Menelaus (concurrent points and triangles Napolean (triangles and reflections) Law of sines or cosines |
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Analytic Geometry: Hyperbolas Ellipses Vector operations |
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Synthetic Geometry: Lemoine points Gergonne points |
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Miscellaneous: Sketchpad investigations of Euclid's propositions Every polygon can be disected into a square (cool) Projections |