This year in math, fourth graders will spend time exploring more complex shapes than ever. The old squares and triangles of the early grades now expand into multi-sided figures, many of them three dimensional. In future grades, these explorations will form the basis of advanced geometry. For now, the most important priority is for kids to develop an awareness of how figures work in space.
In simple terms, this means that now is a great time for creative math play. Here's a math activity that blends with art: making shapes that nest into one another, or “tessellate.” We've all seen these forms in nature—a beehive, for example, is a prime example. Or perhaps you’re a fan of M.C. Escher, whose work so famously links to math. Your child doesn't have to be a naturalist or renowned artist to enjoy tessellations—all it takes is some index cards, scissors, and some open-eyed imagination!
What You Need:
- White 3"x5" index cards
- Scissors
- Scotch tape
- Blank white paper
What You Do:

- Start with one index card, placed horizontally on a table surface.
- Cut as many edges as you like, as if making a puzzle piece.
- Don’t put the puzzles back together the same way, though; instead, trace your shape onto a piece of paper, and then "fit" it against that piece to start a patterned design.
- Keep going until you’ve filled the page, and then don’t hesitate to have fun coloring the different “puzzle” pieces in different creative ways. Congratulations! You have just started your first “tessellation,” and the future possibilities are endless.
In fact, “tessellations” are a fabulous activity for a rainy day. You can challenge the whole family to come up with innovative designs; and if you get one you especially like, you might even want to turn it into a stamp using simple materials like a cut potato, and create cards or wrapping paper. But even if you just explore this “math art” on regular paper, remember this: every exploration builds skills for geometry work in the future. And who knows? Maybe you’ve got a budding architect, artist, or even M.C. Escher on your hands! There’s only one way to find out: grab some cards and scissors, and get started.
By Julie Williams
Julie Williams, M.A. Education, taught middle and high school History and English for seventeen years. Since then, she has volunteered in elementary classrooms while raising her two sons and earning a master's in school administration. She has also been a leader in her local PTA.
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