2 Leonardo Fibonacci Born in Italy c.1170 Arabic numerals, algorithms and algebraic methods, and a facility in fractionsFibonacci SequenceDiscovered it by studying rabbit regeneration
3 More on Fibonacci Grew up in North Africa Published the book Liber AbaciFun fact! Liber Abaci means the book of abacus but the book has nothing to do with the abacusThis problem was featured in his book:Beginning with a single pair of rabbits (one male and one female), how many pairs of rabbits will be born in a year, assuming that every month each male and female rabbit gives birth to a new pair of rabbits, and the new pair of rabbits itself starts giving birth to additional pairs of rabbits after the first month of their birth?
4 The Fibonacci Sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144Each number is a sum of the two numbers preceding itAppears throughout the “biological realm”, music, etc
5 The RabbitsEach number is a sum of the two previous numbers because the number of rabbit pairs in a previous generation plus all of the newborn pairs is equal to all of the rabbits who are more than two months oldFibonacci’s rabbits never die
6 Fibonacci SpiralThe spiral appears in nature, often in the way leaves grow or the way seeds growThey usually have consecutive Fibonacci numbers8 clockwise, 13 counter-clockwise, 13 counter- clockwise, 21 clockwise, etc.Minimize space and energy uses
8 Variations on the Fibonacci Sequence Can start with any number, as long as it follows the pattern3, 3, 6, 9, 15, 24……Fibonacci sequence.1, .1, .2, .3, .5, .8……Fibonacci sequence
9 “Fibs” Poems that follow the sequence Six lines Created by Greg Pincus Example:OneSmallPrecise,Poetic,Spiraling mixtureMath plus poetry yields the Fib
10 Works Cited"Leonardo Fibonacci." Columbia Encyclopedia. EBSCOhost. Grand Junction, CO. Central High School.18 May <http://web.ebscohost.com/src/>.Choi, Charles Q. "Fibonacci Fandango." Scientific American EBSCOhost. Central High School, Grand Junction, CO. 18 May 2009 <http://search.ebscohost.com/login.aspx?>.Entin, Carli. "We're Not Fibbing!" Scholastic Math EBSCOhost. Central High School, Grand Juncion, CO. 18 May <http://search.ebscohost.com/login.aspx?>."The (Fabulous) Fibonacci Numbers." Science News EBSCOhost. Central High School, Grand Junction, CO. 18 May 2009 <http://search.ebscohost.com/login.aspx?>.Fibonacci sequence.Gale Encyclopedia of Science. Ed. K. Lee Lerner and Brenda Wilmoth Lerner. 4th ed. Detroit: Gale Group, 2008.Scott, Kim. "Fibonacci's World." Discover Apr. 2007: EBSCOhost. Central High School, Grand Junction, CO. 19 May 2009 <http://search.ebscohost.com/login.aspx?>."Do Plants Know Math?" USA Today Magazine June 2003: EBSCOhost. Central High School, Grand Junction, CO. 19 May 2009 <http://search.ebscohost.com/login.aspx?>.