Tuesday, September 30, 2014

Geometry Day 30: Perpendicular Chalk Lines

Today in Geometry we are learning about theorems related to perpendicular lines. Yay! First we looked back to what we learned about parallel, perpendicular and skew lines:

what I asked for
what they came up with
Big realization was the difference between parallel and skew lines. Neither touch, but parallel lines are in the same plane, skew are not. The visuals, and trying to represent 3-D in 2-D for the skew lines, really helped drive this home.

Then...

Those are my examples on the door and the file cabinet. But it was a nice day...so we went outside! Results varied and I'll improve the direction in the following class periods, but here are some of the clearer pictures...
All right angles are congruent.

If two lines are perpendicular, then they intersect to form four right angles.

If two lines intersect to form adjacent congruent angles, then the lines are perpendicular.

If two lines intersect to form adjacent congruent angles, then the lines are perpendicular.

If two sides of adjacent acute angles are perpendicular, then the angles are complementary.

If you give freshmen chalk, then they draw pretty flowers.
Fun activity - next time I'll make sure to show clearer examples. Also, I ended up taking pictures on my phone and uploading to shared google drive folder. They could then download from there. 

We went outside and created something - a good day!

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