Math

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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. (Theres an easier way)

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Todays Lesson

• 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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Objective of Lesson

• You will understand what the Fibonacci Numbers
  are and how to generate them.

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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

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• What did Fibonacci give us?

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Mathematical Terms

• Factor
• Multiple
• Turn to page 452 in your math text.

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Number Systems
XXIII IV XXVII 23 4 27
XXIII x IV XCII 23 x4 92
Roman Numerals Additive system
Hindu / Arabic Positional system
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The Fibonacci Sequence
1) 1
2) 1
3) 2
4) 3
5) 5
6) 8
7) 13
8) 21
9) 34
10) 55
11) 89
12) 144
13) 233
14) 377
15) 610
16) 987
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• Why are Fibonacci numbers interesting?

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• Fibonacci numbers are EVERYWHERE!

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Fibonaccis Rabbits

• Group activity
• Page 38 of your math text book

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The Fibonacci Sequence
1) 1
2) 1
3) 2
4) 3
5) 5
6) 8
7) 13
8) 21
9) 34
10) 55
11) 89
12) 144
13) 233
14) 377
15) 610
16) 987
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• Did I say that
• Fibonacci numbers are EVERYWHERE?

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Fibonacci ( the Golden Ratio)
1 1 b/a
2 1 1
3 2 2
4 3 1.5
5 5 1.666
6 8 1.6
7 13 1.625
8 21 1.615
9 34 1.619
10 55 1.6176
11 89 1.6181
12 144 1.6179
13 233 1.61805
14 377 1.61802
15 610 1.61803
16 987 1.61803
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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.

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Analysis
Syllables Dis and Dums
8 5, 3
8 5, 3
5 3, 2
5 3, 2
8 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, 8
• But dont stop there, mate!
• The fun has just barely begun.