A great activity for teaching kids about fractals is making Sierpinski triangles – one of the easiest fractals to draw.
The Sierpinski triangle is formed using this process:
- Take a point-side-up triangle
- Connect midpoints of the three sides to create a point-side-down triangle.
- Repeat process with the resulting point-side-up triangles.
- Repeat as many times as you want.
This example shows taking the process through 4 iterations.
You can print out the starting triangle from:
Fractal Foundation: Sierpinski Triangle (includes worksheet and instructions)
Spitz: Fractal Pack 1: Educators’ Guide (includes Sierpinski triangle template and other information for teaching about fractals)
If you have a classroom of kids, you can take their Sierpinski triangles and put them together to make a larger triangle – you just need a power of 3 to make a complete Sierpinski triangle (3, 9, 27, etc.).
Also, you can blow their minds by showing this Sierpinski Zoom video to show that the triangles can go on forever!