Here is what my classroom looked like after Geometry yesterday;
We launched on a exploration about triangle congruency. I told students I would give them three different measurements and they had to create the rest of the triangle, labeling everything. What I provided looked like this:
Before hand we talking about how side b needs to be opposite of angle B. Each construction was color coded.
Today, we finished up the last two (SAA and HL) and then students had a gallery walk where they observed and discussed which groups of triangles appeared to be congruent.
We came together as a class and talked about it a little more then looked over a few examples of how SSA falls short and other combinations as well.
All in all I believe this was time well spent. We haven’t proved HL or AAS but this was a good way for students to enter into the concept of triangle congruency.