Wednesday, November 21, 2012

A winter application of symmetry

http://anthonyherreradesigns.com/images/stories/Blog_pictures/starwars-snowflakes/R2-D2-displayed_2012.jpg
This is just geeky awesomeness! Star Wars paper snowflakes

When I see something that makes me think to myself "HOW COOL IS THIS" I try to find a way that this could be done by students as a learning project. It did not take me long to find a way for this one...

A concept in math and science is the idea of symmetry. In biology, there are discussions of radial and bilateral symmetry. Chemistry could even make a discussion of chirality as a non-example to symmetry. In mathematics, there is the symmetry of geometric shapes and even the reflections, rotations, and translations of functions on the coordinate plane. Teachers could even bring in the unit circle for the angles of the axes of symmetry from the x and y axes.

Here is a chance to have students discuss and apply their understanding of symmetry and relate it to the impending weather that comes with winter. Students would have a chance to design, evaluate, and go back to the drawing board to express their creativity. Even better, students have the chance to document their process in the creation of something that is expressly their own!

Students could use a template like this (modified from coolmath.com) and start creating! Print out the template and have students start sketching a symmetrical picture using 2 adjacent segments of the template (or half of a picture using only 1 segment). Cut out the circle and fold it and start cutting!

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