MATH Math text books and math note books

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 � In 1202, 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 x 4 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 EVERYWHER

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 dum di di dum.

ANALYSIS Syllables 8 8 5 5 8 Total: 34 Di’s and Dum’s 5, 3 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