Download Fibonacci Lesson Grade 7

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
+ IV
XXVII
23
+4
27
XXIII
x IV
XCII
23
x4
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!
Fibonacci’s Rabbits
• Group activity
• Page 38 of your math text book
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
EVERYWHERE?
Fibonacci (& the Golden Ratio)
1
2
3
4
5
6
7
8
1
1
2
3
5
8
13
21
b/a
1
2
1.5
1.666
1.6
1.625
1.615
9
10
11
12
13
14
15
16
34
55
89
144
233
377
610
987
1.619
1.6176
1.6181
1.6179
1.61805
1.61802
1.61803
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
8
8
5
5
8
Total: 34
Di’s and Dum’s
5, 3
5, 3
3, 2
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.