Fibonacci Numbers

By Anna Jean

From The Grade 4 Class

Introduction

• Today I, Anna Jean, am going to take through the awesome world of Fibonacci numbers.

• I know it sounds boring but trust me it won’t be.

• You will be taken through a amazing presentation of history and a mathematical adventure.

What are Fibonacci numbers?

• Fibonacci numbers are 0,1,1,2,3,5,8,13,21,34……. And so on.

• How do they work?Well Fibonacci numbers are like a pattern

they work like so:0+1=1+1=2+1=3+2=5+3=8+5=13+8=21+13=

34+21=55 and so on. If you don’t get I will be taking questions at the end.

Who was Fibonacci?

• Fibonacci was one of the “greatest” European mathematicians of the middle ages.

• His full name is Leonardo Pisano, and some people called him Leonardo of Pisa.

• The very strange things about him are #1 he grew up in North Africa, and #2 thing is that he has about 50 names!

• One other thing about Fibonacci was that nobody knows his birth date and death date.

Please Don’t get bored.

• I hope you aren’t bored there are only 16 slides left.

• Don’t be like the guy on the left be like the guy on the right.

Fun With Fibonacci NumbersThis is a Fox Trot Comic about Fibonacci numbers,

See I told you there was a fun side to Fibonacci

numbers !!!

Fibonacci numbers in nature.

Guess what?There are Fibonacci numbers in nature you

name it, here is a list of Fibonacci numbers in nature: Rabbits

Flowers Trees Pinecones Seashells

Fibonacci Numbers with rabbits

• How it works is there is one pair of baby rabbits these bunnies can not have babies. (they mate once a month) Then they have babies then the next month they have a pair of babies then the next month both of those pairs of rabbits have bunnies and then it just keeps going on.

The Bunny Graph

Pictures of Leonardo Pisano.

Fibonacci numbers with seashells

• How this works is if you draw a sea shell on this image it will work as Fibonacci numbers.

As you can see the sea shell would have Fibonacci numbers ranging from 1 to 21.

Here is another image of the seashell.

Fibonacci numbers with flowers.

Why is it that the number of petals in a flower is often one of the following numbers: 3, 5, 8, 13, 21, 34 or 55? For example, the lily has three petals, buttercups have five of them, the chicory has 21 of them, the daisy has often 34 or 55 petals, etc. Furthermore, when one observes the heads of sunflowers, one notices two series of curves, one winding in one sense and one in another; the number of spirals not being the same in each sense. Why is the number of spirals in general either 21 and 34, either 34 and 55, either 55 and 89, or 89 and 144? The same for pinecones : why do they have either 8 spirals from one side and 13 from the other, or either 5 spirals from one side and 8 from the other? Finally, why is the number of diagonals of a pineapple also 8 in one direction and 13 in the other?

Pictures of flowers with Fibonacci #s in them.

• This image (right) is a

21 pestle flower, this image (below) is a picture of an example of a real flower and how it grows.

Fibonacci numbers…in YOU!!!

I know you might not believe me but a hand has Fibonacci numbers in it because of the bones, your hand has 4 bones but with Fibonacci numbers that is 2,3,5,8. Right when I found that out I almost fainted, so hopefully you haven't fainted ………….. Yet!

Fibonacci food!

• As you can see a banana has 3 sections which is a Fibonacci number, An apple has 5 sections which is also a Fibonacci number.

Fibonacci with trees.

• The type of growth exhibited by the sneezewort occurs also in simple tree growth, each stage of development lasting one year.

What I learned.

• I learned so many things throughout these past 2 weeks almost all of the slides taught me something and the more research I did each day the more facts got stored in my head.

Bibliography

• The Number Devil By Mangus Enzenberger

www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/ en.wikipedia.org/wiki/Fibonacci_number

www.branta.connectfree.co.uk/fibonacci.htm

Thank You So Much!!

• Thank you sooooo much for watching my presentation I had an awesome time and I hope you liked my power point.

• If you have any questions please ask me now. !!!!!!!!!!!!!