Five Triangles just dropped the best problem I’ve seen this week.

Also, I’m trying to figure out how to get my students thinking more deeply about transformations next year. I threw this together this afternoon, in an attempt to synthesize what I see as two major pieces of the Common Core 8th grade transformation standards — performing transformations on the coordinate plane, and identifying transformations mapping one image to another. They also get at some fascinating properties of transformations, in what I think is an elegant way.

Happy weekend!

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Mr-ButlerI love this idea too. Recently watched a numberphile video breaking it down: http://www.numberphile.com/videos/soccer_ball.html. Also, on your inquiries about transformations. I”ve been discovering huge potential for this (and realizing some of that potential in the classroom as well). I’ve only started to curate the material at transformulas.org I’d be interested in seeing what you find with transformations with your students as well.

howardat58Hi!

1. Have you thought of using a mirror on the line of reflection ?

2. To keep nearer to non math speak I think you should write “reflect in the x-axis”

3. Any rotation must specify the centre of rotation, especially in the case of number 6

4. Have some fun with tracing paper or acrylic sheet. They can actually do the rotations and shifts, and should eventually see that a reflection is (the same as) a half turn rotation around a line

5. Football. Suggestion: Don’t say “in (4)”, just ask the questions about the football.

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