Exploring Fibonacci Sequence, Bee Hives, and Squares in Nature

 
1
 
1
 
2
 
3
 
5
 
8
 
13
 
21
This is me,
a male bee.
This is she,
my mother bee.
Grand-
mumee
bee.
Grand-
dadee
bee.
No wonder that only 5% of the bees
in a hive are males!
That is true but female worker
bees make the honey!
Bee-lieve it or not!
 
The sequence of 1, 1, 2, 3, 5, 8, 13,
…, is known as the Fibonacci
Sequence.
 
Fibonacci was an Italian
mathematician who lived from
1170 to 1240.  He is famous for
promoting the Hindu-Arabic
number system in Europe, his work
on algebra, and this famous
sequence.
Fibonacci’s real name was Leonardo
of Pisa. As a young boy he would
have seen the leaning tower being
built.
Sunflower
Nautilus Shell
 
1
 
1
 
4
 
9
 
25
For a square of side length, five, the area is
5 x 5 = 25 square units.
This result can also be written as 5
2
 = 25,
which is read as “Five squared equals
twenty-five.”
For a square of side length, eight,
the area is 8 x 8 = 64 square units.
This result can also be written as
8
2
 = 64, which is read as “Eight
squared equals sixty-four.”
 
Here are the first few Fibonacci numbers:
There are two Fibonacci numbers that are equal to the
square of their place (n).
What numbers are those?
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Discover the fascinating world of Fibonacci sequence through the lens of bees, sunflowers, and mathematical patterns in nature. Learn about the Fibonacci numbers, bee colonies, the beauty of sunflowers, and the mathematical properties of squares. Dive into the history of Leonardo of Pisa and his contributions to mathematics. Explore the wonders of nature's mathematical symphony intertwined with the Fibonacci sequence.


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  1. 21 13 8 5 3 2 1 1

  2. + + Grand- dadee bee. Grand- mumee bee. + This is she, my mother bee. + This is me, a male bee.

  3. No wonder that only 5% of the bees in a hive are males! That is true but female worker bees make the honey! Bee-lieve it or not!

  4. The sequence of 1, 1, 2, 3, 5, 8, 13, , is known as the Fibonacci Sequence. Fibonacci was an Italian mathematician who lived from 1170 to 1240. He is famous for promoting the Hindu-Arabic number system in Europe, his work on algebra, and this famous sequence. Fibonacci s real name was Leonardo of Pisa. As a young boy he would have seen the leaning tower being built.

  5. Sunflower

  6. Nautilus Shell

  7. 1 4 1 25 9

  8. 5 For a square of side length, five, the area is 5 x 5 = 25 square units. This result can also be written as 52 = 25, which is read as Five squared equals twenty-five. 5

  9. 8 For a square of side length, eight, the area is 8 x 8 = 64 square units. This result can also be written as 82= 64, which is read as Eight squared equals sixty-four. 8

  10. Here are the first few Fibonacci numbers: There are two Fibonacci numbers that are equal to the square of their place (n). What numbers are those? n 1 2 3 4 5 6 Fibonacci Number 1 1 2 3 5 8

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