◊ 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
Geometric mappings: defining transformations, isometries; what is preserved?
Isometries in GeoGebra: learning the tools, compositions
Symmetry: introduction, recognizing and creating rosette symmetries, formal definition
Congruence and similarity in the Common Core
Rethinking proof: geometric construction, triangle congruence
Computing images: complex numbers, matrices
Abstract algebra: finite groups, symmetry groups
More proof: symmetry definitions for special triangles and quadrilaterals, proving theorems
Isometries: the fundamental theorems
Transforming graphs: all parabolas are similar, all exponential curves are similar
More symmetry: friezes, wallpapers