Exploring Snowflakes and Fractals: A Creative Geometry Activity for Kids

Let’s continue with snowflakes, even though it hasn’t snowed here (nor does it look like it will)!

Inspired by a beautiful video showing how snowflakes form—each one unique—I suggested to my students that they create their own snowflakes using geometric shapes of different sizes.

To get started, I provided translucent, light gray shapes in various sizes. The main rule was to use only one geometric shape to form the entire snowflake. For example, if they chose triangles, the whole snowflake would consist only of triangles. They did end up mixing shapes for aesthetics, but even so, they began noticing recurring patterns.

Through this activity, they not only explored geometric shapes and sizes but also ventured into the fascinating mathematical world of fractals.

What Are Fractals?

After completing the activity, I introduced the concept of fractals in a simple way. A fractal is a pattern that repeats itself infinitely, each time changing in size and forming a new design.

On the board, I drew a line, erased a part in the center, and added a small peak in its place. This peak had two sides; on each side, I erased a part in the center and repeated the same peak. And so, a fractal began to form.

Nature is full of fractal patterns: tree branches, sunflower seeds, broccoli, snail shells… We projected some of these images on the wall, trying to spot the repeated patterns.

This project spanned several sessions, allowing us to dive deeper into geometry and natural patterns.

Would you like to bring these ideas into your classroom? Explore my TpT store for unique and adaptable resources designed to help you implement activities like this one. If you’re interested in hands-on math activities, you’ll find materials for all levels to engage students with the magic of mathematics.