The rectangle portion of the investigation took longer than anticipated, but we covered a LOT of (review) material, and the kids were generally following along, so I'm ok with it.
Today we formalized the conclusions about rectangles, noting that not much of what was true for squares holds up for rectangles. I tried to stress that squares are a very specific shape and we're building "up" to more general ideas, eventually leaving to parallelograms and then quadrilaterals, but I'm not sure how much of the "big picture" talk they're actually absorbing.
Tomorrow we'll show how one simple tangent ratio can lead us to know a TON of angles in the parallel line & transversal set up, all thanks to simple ideas like linear pairs, vertical angles, and the triangle sum theorem.
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