Access to lesson plan: https://docs.google.com/document/d/1BorOSa41kvwdXHcyt5VCKaUzoGO8V8fJEW8xbw0sw2M/edit?usp=sharing
In this team-teaching I think Erika and I did a relatively good job trying to present something that seems technical and boring in a fun and interesting way. The activity related the representation of areas with unknown distances with the multiplication of binomials, ultimately allowing the student to understand the expression geometrically. We then did the algebraic explanation and looked at some applications when employing this formula and how there are different circumstances when we might use different of squares in order to change the expression such that the two terms are squared (i.e rationalizing the denominator using the conjugate).
After reflecting I don't think I would have done much differently. The activity went on a little bit longer than intended, but that was because we anticipated the students making the connections faster. Instead we took more time to ensure that everyone finished the activity and worked one on one with the students to guide and facilitate the completion of the proof. I think we rightly decided that the students would get more out of the lesson with a focus on the interactive aspect of the lesson. If this was my actual class, it would not be such a big deal that we did not cover every single detail that we had hoped to, and there would be an opportunity to review and bring it back to the big idea in the proceeding classes. It was a good experience to do the micro-teaching, and it solidifies my confidence and enthusiasm for teaching mathematics.
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