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Back in February, I learned how to use paper folding to create an ellipse. Since then, I’ve wanted to try my hand at paper folding a hyperbola as well. It’s taken a few months, but I finally did it! Previously, I have bogged about paper folding both parabolas and ellipses.

I learned about folding a hyperbola while reading *More Joy of Mathematics: Exploring Mathematics All Around You* by Theoni Pappas.

When I paper folded my ellipse, I started with a circle template that I printed on a sheet of paper. This worked fine because I only had to fold the edge of the circle to the dot inside the circle.

The hyperbola, on the other hand, needed a different approach because I couldn’t cut the circle out since the dot was on the outside of the circle. I decided that using wax paper would be the easiest way to construct my hyperbola.

## Paper Folding a Hyperbola

Supplies:

- Wax Paper (or Patty Paper)
- Sharpie
- Circular Object to Trace Around

I used the sharpie to trace around a circular roll of tape on my wax paper.

Use the sharpie to mark a point outside the circle.

Fold the wax paper so the dot lies on the circle.

Repeat the process so the dot lands on a different part of the circle each time.

Keep folding!

You’re not done yet. Keep folding some more.

It’s a hyperbola!

I used a blue sharpie to outline the hyperbola formed by the creases.

I was pretty thrilled with how my hyperbola and ellipse turned out.

My students are currently working on a project where they are folding each of the four different conic sections using patty paper. I can’t wait to show off their work!

## More Activities for Teaching Conic Sections

- Fun Conic Sections Activities
- Conics Patty Paper Poster Project
- Folding Conic Sections Project
- Building a Cone to Visualize Conic Sections
- Paper Folding a Hyperbola
- Paper Folding an Ellipse
- Hands-On Archaeology Geometry Activity
- Conic Sections Foldable
- Sidewalk Chalk Hyperbolas Activity
- Conic Sections Foldables and Graphic Organizers
- Classifying Conic Sections Flow Chart
- Wax Paper Parabolas
- Conic Sections Foldables and Interactive Notebook Pages
- Using Conic Cards to Teach Conic Sections in 8 Days
- Hands-On Circumference Activity