Week 24: Pastel Diagrams and Plots

Hyperbolic Paraboloid

Sometimes math diagrams, plots, and examples can be a little dry in our books and on the board. This week learners will be taking a diagram or plot that they want to improve upon and sketch it up with pastels, paints, or other media. Color, composition, and artistic embellishments can be added while, keeping the overall concept in tact. Ask them what a math textbook would look like if they created it. Would you have a cheshire kitty in the mix? Would you turn each chapter in to a different land or island?

These sketches don’t have to be fancy, I recommend small pieces of paper and having fun with it (most of these are around 3×5 inches and took a few minutes.) Most of all – have fun!

Pyramid
Binary, powers of two, exponential…
D6, cube, hexahedron, volume, probability…

Week 17: Sierpinski in 3D Building Toys

My Building partner and our Menger Sponge

This week break out your blocks (or whatever building toy you enjoy). We are building a Sierpinski cube (Menger Sponge) or Sierpinski tetrahedron. I would also encourage learners to create their own shape and expand on it to create a self-similar sculpture or fractal (think what each iteration would look like).

Here are a few options for building:

1.) Use this link for a paper model (good for a short class or quick project).

2.) Use toothpicks and gumdrops, cardboard, paper, aluminum foil or other handy building tools in the house.

3.) Use lego (I try not to show learners pictures of the tool they are going to use. I think it’s important to figure it out and discover.)

4.) Try Lux blox – this took us quite a while for the third iteration, but it was fun. We found that for the first three sides we needed to build inward to “figure it out.” My daughter built the last two sides while I build inward. It was a lot of fun.

3 iterations

5. Goobi toys are great and my kids and I have built many fractals with them as well. Below is the Sierpinski tetrahedron.