The Fibonacci Sequence

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Transcript The Fibonacci Sequence

By Nicole
Age 10
For Mrs. Fischer
Grade 4
• The Fibonacci sequence was created by
Mr. Bonacci. It was made in the Middle
Ages. Everything in nature includes
Fibonacci numbers. The Pascal triangle
also has the Fibonacci sequence in it. In
my PowerPoint you will learn about the
basic facts and more! I hope you enjoy my
report!
• Mr. Fibonacci’s real name was Leonardo
of Pisa. We know him today as Fibonacci
which is short for fillus Boncci. His title was
“The Greatest Mathematician of the Middle
Ages.” His Numbers increase by adding
the last two numbers and decrease by
subtracting the last two numbers.
The Fibonacci numbers are when, starting
with 0 you add the last 2 numbers to get
the next number, so 0+1=1, 1+1=2, 1+2=3,
3+2=5, and so on and so forth.
• Fibonacci numbers appear in nature
everywhere! The most obvious things are
bunnies and trees!
• You may be wondering what bunnies and
trees have to do with the Fibonacci
Sequence. Well, the rabbits mate and
have babies all in 2 months! (The first
month is to mate and the second is to
actually have the babies.) As we saw in
the fifth slide, they all double like the
Fibonacci Sequence.
• As we saw in the sixth slide, some trees
grow in the Fibonacci sequence, the
branches that is!
• The Number Devil is a book we’re reading
about Robert and the Number Devil. The
Number Devil tries to help Robert solve his
math problems with his annoying math
teacher, Mr. Bockel, which led us to the
Fibonacci research.
• Fibonacci was born around 1175 AD. He
was born in North Africa.
• Mr. Blaise Pascal was the creator of the
“Pascal Triangle.” He was born in
approximately 1623 and died about 1662,
making him about 41 years old. This is
one of many pictures of Blaise Pascal. He
was a great mathematician. He also made
the first calculators.
• Blaise Pascal was a French mathematician,
physicist and religious philosopher.
• You can make your own “Pascal Triangle” All you need
is:
1) A sheet of paper, (or something to write on!)
2) A pencil (or something to write with!) and possibly
3) A calculator.
• Start with 1 and add that to what’s beside it, which is a 0,
and you get a 1. Do that on the other side. Now with the
two 1’s you have, add the 1 to 0, (because nothing is
beside it.) and put the 1 below in triangle form. Then add
1 plus 1 and you get 2. Put that below beside the other 1
and add 1 to 0 and put the 1 beside the 1.
• You can go on for ever if you follow this pattern! But be
careful, if you mess one line up the lines below it will be
wrong too!
• I hope you enjoyed my PowerPoint about
The Fibonacci Sequence, Mr. Fibonacci
himself, the Pascal triangle and Mr.
Pascal. Thank-you very much for your
time and your presence. If you have any
comments I will now take them.
• www. mcs. Surrey.ac.uk/personal/R.knott/Fibonacci/fibbio.hmtl
• www.google.com
• Enzensberger, Hans Magnus. The Number Devil: A Mathematical
Adventure. Henry Holt and Company, NY, 1997