Enrichment Activity: The Fibonacci Sequence & Series

What do we do with or for learners that enriches their view and learning of patterns and math?  How to we inspire learners to connect math and patterns to real things?

In our Algebra I team, we’ve been discussing how to offer enrichment learning and activities to promote growth for learners who master topics quickly.  We don’t want to make it “harder” or a “higher pile” so what do we do?

While I was researching video for my previous post, If a picture is worth 1000 words, what is video worth?, I ran across Nature by Numbers:

The Nature by Numbers video then made me think of Vi Hart and her post Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3].

The combination of these two videos is awesome.  Which is more engaging to you?  Could we design enrichment opportunities that promote communication, collaboration, creativity, and investigation of real world patterns and beauty? Could these enrichment opportunities lead to project-based learning and integrated studies?

Meet Aidan, Grade 7, Young Naturalist Awards, 2011 and read The Secret of the Fibonacci Sequence in Trees to learn about his redesign of solar panels based on his observations of trees and a connection he made to Fibonacci.

Wow! This is the type of learning – PBL – that I want for my learners.


  1. I so love the Fibonacci sequence. It is so logically fascinating… i learned of it first in a book by Blue Balliet, but I can’t remember which, also, in The Trap by Steve Arntson, it has an interesting part in the story.


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