Here is a three-part lecture, via PowerPoint, that outlines some surprising appearances of the Fibonacci numbers.
Fibonacci PowerPoint Lecture _ Part I
Fibonacci PowerPoint Lecture _ Part II
Fibonacci PowerPoint Lectire _ Part III
This lecture is a bit speedy (I am slower in person in front of a real audience).
Here is some follow-up material easier to follow:

PREVIOUS YOUTUBE VIDEOS – in my typical format, and slower and gentler.
Partitions and Fibonacci Video
Two Surprising Fibonacci Puzzles
Two Answers

WRITTEN DOCUMENT – with everything, and a bit more, spelled out:
Fibonacci Surprises Written Document


    QUADRATICS, Permutations and Combinations, EXPLODING DOTS, and more!

    Written for educators - and their students too! - this website, slowly growing, takes all the content Tanton has developed in his books, videos, and workshops, and organizes it into short, self-contained, and complete, curriculum units proving that mathematics, at all points of the school curriculum, can be joyous, fresh, innovative, rich, deep-thinking, and devoid of any rote doing! Let's teach generations of students to be self-reliant thinkers, willing to flail and to use their common sense to "nut their way" through challenges, to assess and judge results, and to adjust actions to find success. (Great life skills!)


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