Math
description
Transcript of Math
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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.
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Fibonacci Numbers
A little history A little sequence A little biology A little poetry, architecture & art How to eat Fibonacci Numbers
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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
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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”
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• Started construction the year of Fibonacci’s birth (1170)
• Finished about 1514 • About 56 m high
(184 feet)
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What did Fibonacci give us?
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In1202, published “Book of Calculation” (Fibonacci was Italian, but wrote his book in Latin)
Fibonacci gave us mathematical terms Factor (1, 2, 5, 10) Multiple (10, 20, 30, 40, 50, …)
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XXIII+ IVXXVII
23+427
XXIIIx IVXCII
23x492
Roman NumeralsAdditive system
Hindu / Arabic Positional system
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1) 12) 13) 24) 35) 56) 87) 138) 21
9) 3410) 5511) 8912) 14
413) 23
314) 37
715) 61
016) 98
7
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Why are Fibonacci numbers interesting?
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Fibonacci numbers are
EVERYWHERE!
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1) 12) 13) 24) 35) 56) 87) 138) 21
9) 3410) 5511) 8912) 14
413) 23
314) 37
715) 61
016) 98
7
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Did I say thatFibonacci
numbers are EVERYWHERE
?
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A B C
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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.
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Syllables Di’s and Dum’s
8 5, 38 5, 35 3, 25 3, 28 5, 3
Total: 34 Total: 21, 13
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I think Fibonacci is fun:We start with a 1 and a 1
Then 2, 3, 5, 8But don’t stop there, mate!
The fun has just barely begun.
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The End