The introduction of the Common Core standards inspired a change in the mindset of “basing transformations on congruence” to the more intuitive approach of “basing congruence on transformations.” In modern geometry, the traditional arguments justifying congruence and similarity are more effectively supported by rigid transformations and dilations. In this 3-week module, running from June 13 – July 1, we examine how transformations are applied to justify congruence and similarity. Specific goals and activities include the following:
- Examining and connecting properties of transformations through constructions using GeoGebra.
- Experiencing the shift to justifying congruence and similarity through transformations.
- Revisiting fundamental geometric theorems and proving them through transformations.
To register for this course, go to the Teacher Learning Hub. Registration will open on May 13, 2016 and close on June 20, 2016.