Assignment Fibonacci
Assignment: The Fibonacci Sequence
Find three examples of the Fibonacci sequence in nature. Write a paragraph describing each example.
Include photos or graphics in your explanation.
For each example answer the following questions:
How does the example relate to the Fibonacci sequence?
What portions of each item or situation display the Fibonacci sequence?
How could the Fibonacci sequence help you solve a problem involving the item or situation?
Document your sources and use the rubric as a guide for completing the assignment.
At the end of the first month, they mate, but there is still one only 1 pair.
At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits in the field.
At the end of the third month, the original female produces a second pair, making 3 pairs in all in the field.
At the end of the fourth month, the original female has produced yet another new pair, the female born two months ago produces her first pair also, making 5 pairs.
Let's look at the family tree of a male drone bee.
He had 1 parent, a female.
He has 2 grand-parents, since his mother had two parents, a male and a female.
He has 3 great-grand-parents: his grand-mother had two parents but his grand-father had only one.
How many great-great-grand parents did he have? Number of parents: parents: parents: parents: parents: of a MALE bee: 1
2
3
5
8 of a FEMALE bee: 2
3
5
8
13
On many plants, the number of petals is a Fibonacci number: buttercups have 5 petals; lilies and iris have 3 petals; some delphiniums have 8; corn marigolds have 13 petals; some asters have 21 whereas daisies can be found with 34, 55 or even 89 petals. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html#spiral © K12 Inc.
Find three examples of the Fibonacci sequence in nature. Write a paragraph describing each example.
Include photos or graphics in your explanation.
For each example answer the following questions:
How does the example relate to the Fibonacci sequence?
What portions of each item or situation display the Fibonacci sequence?
How could the Fibonacci sequence help you solve a problem involving the item or situation?
Document your sources and use the rubric as a guide for completing the assignment.
At the end of the first month, they mate, but there is still one only 1 pair.
At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits in the field.
At the end of the third month, the original female produces a second pair, making 3 pairs in all in the field.
At the end of the fourth month, the original female has produced yet another new pair, the female born two months ago produces her first pair also, making 5 pairs.
Let's look at the family tree of a male drone bee.
He had 1 parent, a female.
He has 2 grand-parents, since his mother had two parents, a male and a female.
He has 3 great-grand-parents: his grand-mother had two parents but his grand-father had only one.
How many great-great-grand parents did he have? Number of parents: parents: parents: parents: parents: of a MALE bee: 1
2
3
5
8 of a FEMALE bee: 2
3
5
8
13
On many plants, the number of petals is a Fibonacci number: buttercups have 5 petals; lilies and iris have 3 petals; some delphiniums have 8; corn marigolds have 13 petals; some asters have 21 whereas daisies can be found with 34, 55 or even 89 petals. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html#spiral © K12 Inc.