Party Spock is in the House, Everybody Have a Logical Time!

As my Geometry students continue their journey through the land of proofs, I challenged students to create their own examples and student-friendly reasoning for the following conjecture:

Two students took the opportunity to prove the conjecture using algebra:

Using Tables to Prove Conjectures

Geometry students were thrown for a bit of a loop when having to describe the conjecture in this pattern.  As soon as I suggested using a table several light bulbs went off!  Those are my FAVORITE moments as a teacher!

Original question on the homework

Student response

I am continually impressed with the pride and respect students have for supporting their classmates with sharing ideas at the board!  This student helped many of her classmates with realizing the simplicity of this problem by using a table as a tool for learning :-)