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MATH Math text books and math note books on your desks, please. Sharpened pencils Calculators if you have one Brain starter: Add up all the numbers from 1 to 10 in you head. TODAY’S LESSON Fibonacci Numbers A little history A little sequence A little biology A little poetry, architecture & art How to eat Fibonacci Numbers OBJECTIVE OF LESSON You will understand what the Fibonacci Numbers are and how to generate them. You will know who Fibonacci was. You will eat some Fibonacci Numbers LEONARDO FIBONACCI Leonardo Pisano Leonardo of Pisa Filius Bonacci (Son of Bonaccio) 1170 to 1250 “Son” in French is “fils” In Italian it is “figlio” (the “g” is silent) In Latin it is “filius” LEANING TOWER OF PISA • Started construction the year of Fibonacci’s birth (1170) • Finished about 1514 • About 56 m high (184 feet) What did Fibonacci give us? FIBONACCI’S CONTRIBUTION TO MATH In1202, published “Book of Calculation” (Fibonacci was Italian, but wrote his book in Latin) Fibonacci gave us mathematical terms Factor Multiple (1, 2, 5, 10) (10, 20, 30, 40, 50, …) NUMBER SYSTEMS XXIII + IV XXVII 23 +4 27 XXIII x IV XCII 23 x4 92 Roman Numerals Additive system Hindu / Arabic Positional system THE FIBONACCI SEQUENCE 1) 2) 3) 4) 5) 6) 7) 8) 1 1 2 3 5 8 13 21 9) 10) 11) 12) 13) 14) 15) 16) 34 55 89 144 233 377 610 987 Why are Fibonacci numbers interesting? Fibonacci numbers are EVERYWHERE! THE FIBONACCI SEQUENCE 1) 2) 3) 4) 5) 6) 7) 8) 1 1 2 3 5 8 13 21 9) 10) 11) 12) 13) 14) 15) 16) 34 55 89 144 233 377 610 987 Did I say that Fibonacci numbers are EVERYWHERE? WHICH SHAPE DO YOU LIKE BETTER? A B C FIBONACCI IN ARCHITECTURE FIBONACCI IN ART FIBONACCI IN NATURE FIBONACCI & POETRY Di dum di di dum di di dum, Di dum di di dum di di dum, Di dum di di dum, Di dum di di dum, Di dum di di dum di di dum. ANALYSIS Syllables 8 8 5 5 8 Total: 34 Di’s and Dum’s 5, 3 5, 3 3, 2 3, 2 5, 3 Total: 21, 13 I think Fibonacci is fun: We start with a 1 and a 1 Then 2, 3, 5, 8 But don’t stop there, mate! The fun has just barely begun. The End