New week, new unit. Pythagorean Theorem is usually taught in middle school, but (again), it’s not a given that our students have learned it, so here we are. It also builds nicely on what we did with right triangle trigonometry.
I should probably change seats today, but I feel like it takes the kiddos a bit to warm up, so I’m leaving them in the same seats for now.
Which probably means we won’t change seats again.
Because there are two weeks of content left to go.
Photo 1: The Recording SheetThe idea behind today’s activity is that students use squares to make right triangles. Our first set of squares was too small and students build several right triangles that looked correct (4-5-6-nope), but weren’t. We spent 2nd period making the squares bigger and removing some of the confusing ones. One class tried to cut up the squares into smaller squares, but otherwise, this helped.
This photo is from a group that worked steadily throughout the whole period. Most kiddos made the connection between the area of the hypotenuse square (as we’re calling it) and the sum of the area of squares 1 and 2.
Photo 2: Explaining Complex Area
With both of these photos (and most of the photos I post here), I wish I could actually capture the groupwork that is happening. Kiddos who finished the triangles and squares activity worked on a practice area worksheet. We haven’t touched much on complex area, so these kiddos had to struggle their way through it (which is difficult and good at the same time). One of the high status students really struggled with this problem and a student, who would be considered a low status math student, saw how to adjust the height of the rectangle and tried to explain it. So cool to see. This photo doesn’t really do it justice.