Diana Herrington and I created this lab for two reasons: 1. Math is the study of patterns and students need to practice finding patterns and 2. Students need to start seeing math outside of the classroom. So with these two things considered, why not let students explore patterns found outside of class? For this lab, I brought pinecones, pineapples, flowers, and shells for students to see Fibonacci in them.

At the beginning, I introduced what the Fibonacci sequence is, then had them divide a latter term by the former term to get to the Golden Ratio. Afterwards, I showed them how to create a Golden Spiral.

For the rest of the period, students worked in groups of 4 to investigate two items in class and two items that they find online. I gave them some topics to look up like galaxies, waves, trees, and basically any plant.

Students are to use Google Slides collaboratively to showcase what patterns they saw in their items. Just as a tip, I recommend that students use the Snapchat app to take a picture of the item because it’s really easy to draw directly on the picture as seen below.

I don’t know about my students, but ever since I have done this project with my students, I always think about Fibonacci whenever I see a pinecone. I hope they do too.

Thank you for reading.