Summer school right now involves six hours of Geometry instruction followed by three hours of planning for the next day's Geometry instruction, which basically leaves me fully tapped for tweeting, blogging, smiling, anything but sleeping. I'd say something laced with regret here but the fact is I enrolled some truly incredible students who challenge me and crack me up for the better part of those six hours. These kids make for light work.
Their proficiency does cause its own kind of trouble, though, because my strongest and weakest students space themselves out dramatically over six hours, requiring all kinds of differentiation. My favorite recent method, particularly with today's investigation of reflections, is to say, "okay, now do that with just a compass and straightedge."
I had a method in mind but several students each did me one better.
One student made kind of stunning use of SSS congruency. Another dripped sweat all over the page constructing perpendicular bisectors, copying angles, copying sides in an incredible (but functional) mess. Another used the method I chose but did it in three fewer arcs.
I have five more days to enjoy this.
[BTW: I have determined that at least 20% of this is garbage.]