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. (There’s an easier way)

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.

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”

What did Fibonacci give us?

Mathematical Terms

• Factor• Multiple

Turn to page 452 in your math text.

Number Systems XXIII+ IVXXVII

23+427

XXIIIx IVXCII

23x492

Roman NumeralsAdditive system

Hindu / Arabic Positional system

The Fibonacci Sequence

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

9) 3410) 5511) 8912) 14413) 23314) 37715) 61016) 987

Why are Fibonacci numbers interesting?

Fibonacci numbers are

EVERYWHERE!

http://britton.disted.camosun.bc.ca/fibslide/fib25.gif

Fibonacci’s Rabbits

• Group activity• Page 38 of your math text book

The Fibonacci Sequence

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

9) 3410) 5511) 8912) 14413) 23314) 37715) 61016) 987

Did I say thatFibonacci

numbers are EVERYWHERE?

Fibonacci (& the Golden Ratio)

1 1 b/a2 1 13 2 24 3 1.55 5 1.6666 8 1.67 13 1.6258 21 1.615

9 34 1.61910 55 1.617611 89 1.618112 144 1.617913 233 1.6180514 377 1.6180215 610 1.6180316 987 1.61803

The Di Dum Poem

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 Di’s and Dum’s8 5, 38 5, 35 3, 25 3, 28 5, 3

Total: 34 Total: 21, 13

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.