I will be working with about 75 second graders later on in the school year, doing what I do, which is to make books that are artful, and that relate to curriculum. The teachers haven’t settled on exactly what that curriculum link will be, so I’m trying to develop a two-prong math/design based project to pitch to them. The first prong is about numbers, which I will write about at a later date. The second part will be about how to use math to make beautiful designs.
I’ve been inspired by a number or educators to work with stars, including Alan Parr, who has prodded and poked the possibilities of this kind of math/design artivity, I mean activity, with a very young crowd. I won’t have nearly the amount of time with the students to go into the details that Alan explored in his star posts, but I do think I can expose these kids to a way of making interesting images with math.
I want to keep this simple, but still spectacular. I’ll be giving the students circles that are divided into 12 parts, as this is more like a unit circle than a pizza circle. What else, I will ask them, is circular or cyclical that is divided into 12 parts? Clock. Calendar. My original thought was that I would have the students use a ruler to connect the dots according to a rule, but I abandoned that strategy for one main reason…
…but it just didn’t seem right. What I came up with, then, was the idea of providing the students with shapes that they could rotate around the circle, which I may or may not mention is called rotational symmetry. Students can use a square or a triangle and rotate and trace it within the circle, touching the corners to the 12 dots on the perimeter of the circle, then they can cut out a shape and line the corners of that shape up to just the black dots around the circle, always rotating around the point in the center of the circle.
The shapes above are the ones that students can use.
…I will encourage students to color in. Notice the use of Sharpies. I think that the black Sharpies really make these designs pop. I will be buying lots of Sharpies.
I also hope to have some time to have students try to draw some circle on their own, divide them up just as best they can, then play around with using their freehand circles to make a different kind of drawing.
Here are some links to what people who’ve gotten me thinking about this way of working:
John Golden: Stars made While I should have been sleeping, and once again
and, finally, an interactive star by Dan Anderson (hover your cursor over the image, and move it around! )
My thanks to my son, his girlfriend and my daughter who helped me trouble-shoot this project by letting me do a math project with them on Thanksgiving Day.