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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.

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

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Page 1: 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

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.

Page 2: 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

Fibonacci Numbers

A little history A little sequence A little biology A little poetry, architecture & art How to eat Fibonacci Numbers

Page 3: 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

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

Page 4: 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

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”

Page 5: 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

• Started construction the year of Fibonacci’s birth (1170)

• Finished about 1514 • About 56 m high

(184 feet)

Page 6: 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

What did Fibonacci give us?

Page 7: 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

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, …)

Page 8: 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

XXIII+ IVXXVII

23+427

XXIIIx IVXCII

23x492

Roman NumeralsAdditive system

Hindu / Arabic Positional system

Page 9: 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

1) 12) 13) 24) 35) 56) 87) 138) 21

9) 3410) 5511) 8912) 14

413) 23

314) 37

715) 61

016) 98

7

Page 10: 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

Why are Fibonacci numbers interesting?

Page 11: 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

Fibonacci numbers are

EVERYWHERE!

Page 12: 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
Page 13: 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
Page 14: 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
Page 15: 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
Page 16: 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
Page 17: 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
Page 18: 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

1) 12) 13) 24) 35) 56) 87) 138) 21

9) 3410) 5511) 8912) 14

413) 23

314) 37

715) 61

016) 98

7

Page 19: 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

Did I say thatFibonacci

numbers are EVERYWHERE

?

Page 20: 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

A B C

Page 21: 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
Page 22: 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
Page 23: 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
Page 24: 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
Page 25: 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

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.

Page 26: 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

Syllables Di’s and Dum’s

8 5, 38 5, 35 3, 25 3, 28 5, 3

Total: 34 Total: 21, 13

Page 27: 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

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.

Page 28: 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

The End