Sunday Math Journals - Transformational Geometry

OK - just a quick one today - I'm off to the cottage to enjoy this beautiful day!
photo of transformational geometry math journal entry @ Runde's Room

We've been studying tranformational geometry this week.  We made up this interactive tool for our math journals.  I saw the idea of using a paperclip for translations (slides) on pinterest months ago (I'm sorry - I couldn't find where I first saw it, so if it was yours - it was brilliant!)  We cut a trapezoid for the translation and recorded the location of the vertices below.  We then translated it 4 units to the right and recorded the new position of the vertices.  We coloured where the translated shape would be, and checked with our original.

For the rotation we cut out a triangle and used a brass fastener so we could rotate it.  We recorded the original position of the vertices, then performed a 90 degree clockwise turn and recorded the new position of the vertices (we also had a chance to discuss how rotations can sometimes be described as reflections as well).

For the reflection we used a square (we had three squares folded together so we could show a reflection over the x-axis, and a reflection over the y-axis.)  We recorded the original location of the 2 x 2 square, then the new positions once they had been reflected over both the x and y axis.

We used the 4 quadrant coordinate system so I could also review integers - our provincial testing is in one week, so the more I can squeeze into them right now, the better.

I don't have pictures of the left-side of the journals today - we finished this one up late on Friday, and many students had to complete the proof and reflection for homework - many students were coming up with their own version of the interactive tool.

Happy Sunday!!!  Have a FABULOUS day!!!

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