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Naturally Fibonacci

Naturally Fibonacci

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Naturally Fibonacci

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  1. Naturally Fibonacci Heath E. Capello NSF North Mississippi GK-8 University of Mississippi April 2006 NSF North Mississippi GK-8

  2. Reproducing Rabbits • There is one immature breeding pair to start • Pairs of rabbits begin breeding when they are two months old • Upon reaching sexual maturity, each pair of rabbits gives birth to exactly one pair each month • No rabbits die NSF North Mississippi GK-8

  3. Reproducing Rabbits • Biologically, what is wrong with this model? NSF North Mississippi GK-8

  4. 1 1 1 1 1 1 1 1 1 1 1 2 2 3 2 3 8 5 2 3 5 Spiraling Squares NSF North Mississippi GK-8

  5. Adding a curve • Adding a quarter of a circle to each square of the spiral NSF North Mississippi GK-8

  6. The same curve, biologically speaking NSF North Mississippi GK-8

  7. Pinecones NSF North Mississippi GK-8

  8. Cauliflower Number of red spirals: 5 Number of blue spirals: 8 NSF North Mississippi GK-8

  9. Romanesco – a broccoli/cauliflower cross Number of blue spirals: 21 Number of red spirals: 13 NSF North Mississippi GK-8

  10. Source • This PowerPoint is an adaptation of Dr. Ron Knott’s website. Lots of resources, explanations, and further activities can be found on his page. The address is <http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html>. NSF North Mississippi GK-8