◊ This is a tentative schedule, based on my best estimate of how long things take. Topics may move or vanish.
◊ Because of the cumulative nature of some of the work, it is important to attend everything.
◊ We will start and end on time every day.
9:00-12:00 Morning Session
1:00-3:30 Afternoon Session
Welcome: transformations and the Common Core
Functions in geometry: transformations, isometries; what is preserved?
Isometries in GeoGebra: learning the tools, composition
Symmetry: recognizing symmetries, formal definition, pattern block dodecagons
Congruence and similarity in the Common Core
Rethinking proof: construction, triangle congruence, special triangle definitions and theorems †
Computing images with complex numbers
Algebra of triangle symmetries; symmetry in GeoGebra
Isometries: the fundamental theorems
Rethinking proof: special quadrilaterals definitions and theorems; dilation and similarity †
Computing images with matrices
Transforming graphs: all parabolas are similar, all exponential curves are similar
Advanced symmetry: friezes, wallpapers
† with Lew Douglas