Previous Years‎ > ‎Transformations‎ > ‎


◊  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.

Daily Schedule

9:00-12:00 Morning Session 

1:00-3:30 Afternoon Session

Day 1


Welcome: transformations and the Common Core

Functions in geometry: transformations, isometries; what is preserved? 

GeoGebra basics


Isometries in GeoGebra: learning the tools, composition

Symmetry: recognizing symmetries, formal definition, pattern block dodecagons

Day 2


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

Day 3


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