3.
Graphing Project
As part of an analytic geometry I would often assign as a project the creation
of a picture, a picture constructed from the equations in the geometry section.
In some courses this mean only linear relations, or linear and quadratic
functions or, in senior courses, trig and conic sections functions. A typical
assignment is included. I would create an example ( to save space I've omitted
the picture for this example,- you're welcome to try and produce it from the
equations ). I would hand out the instructions, with the example, a blank table
and a piece of graph paper, and, of course, a due date . Any picture in good
taste was acceptable - geometric designs, copies of logos, whatever. The majority
of the marks were for the math but I always included a small part for creativity
and neatness.
Much along the same lines, I once had senior students, once we finished the
section on ellipses, try to construct the Toyota symbol as a combination of
three ellipses ( best done on a computer ).