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# fibbonacci proyect

his life, his work and the rabbit experiment

by

Tweet## jimena madrigal

on 2 May 2011#### Transcript of fibbonacci proyect

Today he is best known

for the Fibbonacci numbers Work By

Jimena Madrigal

4B Life Leonardo da Pisa or Leonardo Pisano Don’t be confused with Leonardo da Vinci!! Born: 1170 Pisa Italy

Died: 1250 Pisa Italy

Better known as FIBONACCI

Which means “son of Bonaccio” He lived in North Africa

where he received an education from the Moors an Arabic people. HE WAS THE GREATEST MATHEMATICIAN FROM

THE MIDDLE AGE He was one of the first people to introduce the Hindu Arrabic system to Europe. This is the positional system we use today

(decimal system), with the digits 0 to 9 and a decimal. It talks about the decimal system and the fibonacci numbers He Wrote the famous book: Liber Abaci FIBONACCI NUMBERS The Fibonacci numbers are a sequence of numbers that all have a very specific relationship with each other.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55……. In math a sequence is a list of numbers arrange in a particular order.

Example:

A sequence of whole numbers is: 1,2,3,4,5,6,7…………… You can get the Fibonacci sequence by adding the previous two numbers starting with 0 and 1 RABBIT EXPERIMENT In his book "Liber Abaci" (book of calculation), Fibonacci post the following problem: If you put a pair of new born rabbits (male and female) in a closed place, how many pairs of rabbits will there be after 1 year? They become productive when they are 1 month old. The gestation process takes 1 month.

A female can give birth every month. It will always be one male and one female rabbit.

New born rabbits never die.

CONSIDERATIONS As you can see our results up to now show a Fibonacci sequence. So if we continued the sequence until we had 13 numbers we would get the results of this experiment. The Answer is 233 Fibonacci probably didn’t invent the rabbit problem but he made it so popular that eventually became associated with him and the number sequence that now bears his name. CONTRIBUTTIONS

TO THE WORLD Bar we use in fractions How can you tell whether a number is part of the Fibonacci sequence?

A. Each number is twice as big as the previous number of the sequence

B. Each number is the sum of the previous two numbers of the sequence

C. Each number is two more than the previous number of the sequence

D. Each number is the product of the previous two numbers of the sequence B. Each number is the sum of

the previous two numbers of the sequence A. Addition Quiz D. He published it in a popular book Which of the following is a sequence?

A. 1,2,3,5,7,9

B. 100,120,170,200

C. 4,8,12,16,20

D. 2,6,12,15,19,21 C. 4, 8, 12, 16, 20 A. His father name was Bonaccio What was Fibonacci´s relationship with the famous “rabbit problem”?

A. He came up with it

B. He stole the idea from Leonardo da Vinci

C. He was the first to calculate it using Roman numerals

D. He published it in a popular book Which operation must you use to calculate Fibonacci sequence?

A. Addition

B. Subtraction

C. Multiplication

D. Division Which of the following is a true statement about Fibonacci?

A. His father name was Bonaccio

B. He popularized de Roman numeral system

C. He was from the city of Padua, Italy

D. He was a painter and inventor as well as mathematician A chicory plant is most likely to have how many petals?

A. 18

B. 19

C. 20

D. 21 D. 21 What is the next number of the sequence: 8, 13, 21, 34, 55,

A. 67

B. 78

C. 89

D. 98 Which of the following is an Arabic numeral?

A. IX

B. Nine

C. 9

D. IIII IIII C. 89 C. 9 What was the relationship between Fibonacci and Leonardo da Vinci?

A. Leonardo use Fibonacci´s ideas in his artwork

B. Leonardo help Fibonacci develop his famous sequence

C. Leonardo was a descendent of Fibonacci

D. There was no connection between the two men D. There was no connection

between the two men B. He´d had extensive contact

with the Arab world What can you infer about Fibonacci from the numeral system he used?

A. He was an exceptionally creative thinker

B. He´d had extensive contact with the Arab world

C. He was able to count higher than any mathematician before him

D. He actually wasn´t very good at math THE END Decimal system Fibonacci numbers Square root notation Fibonacci Project

His life, his work and the Rabbit experiment Fibonacci Project

Questions? THANK YOU!!

Full transcriptfor the Fibbonacci numbers Work By

Jimena Madrigal

4B Life Leonardo da Pisa or Leonardo Pisano Don’t be confused with Leonardo da Vinci!! Born: 1170 Pisa Italy

Died: 1250 Pisa Italy

Better known as FIBONACCI

Which means “son of Bonaccio” He lived in North Africa

where he received an education from the Moors an Arabic people. HE WAS THE GREATEST MATHEMATICIAN FROM

THE MIDDLE AGE He was one of the first people to introduce the Hindu Arrabic system to Europe. This is the positional system we use today

(decimal system), with the digits 0 to 9 and a decimal. It talks about the decimal system and the fibonacci numbers He Wrote the famous book: Liber Abaci FIBONACCI NUMBERS The Fibonacci numbers are a sequence of numbers that all have a very specific relationship with each other.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55……. In math a sequence is a list of numbers arrange in a particular order.

Example:

A sequence of whole numbers is: 1,2,3,4,5,6,7…………… You can get the Fibonacci sequence by adding the previous two numbers starting with 0 and 1 RABBIT EXPERIMENT In his book "Liber Abaci" (book of calculation), Fibonacci post the following problem: If you put a pair of new born rabbits (male and female) in a closed place, how many pairs of rabbits will there be after 1 year? They become productive when they are 1 month old. The gestation process takes 1 month.

A female can give birth every month. It will always be one male and one female rabbit.

New born rabbits never die.

CONSIDERATIONS As you can see our results up to now show a Fibonacci sequence. So if we continued the sequence until we had 13 numbers we would get the results of this experiment. The Answer is 233 Fibonacci probably didn’t invent the rabbit problem but he made it so popular that eventually became associated with him and the number sequence that now bears his name. CONTRIBUTTIONS

TO THE WORLD Bar we use in fractions How can you tell whether a number is part of the Fibonacci sequence?

A. Each number is twice as big as the previous number of the sequence

B. Each number is the sum of the previous two numbers of the sequence

C. Each number is two more than the previous number of the sequence

D. Each number is the product of the previous two numbers of the sequence B. Each number is the sum of

the previous two numbers of the sequence A. Addition Quiz D. He published it in a popular book Which of the following is a sequence?

A. 1,2,3,5,7,9

B. 100,120,170,200

C. 4,8,12,16,20

D. 2,6,12,15,19,21 C. 4, 8, 12, 16, 20 A. His father name was Bonaccio What was Fibonacci´s relationship with the famous “rabbit problem”?

A. He came up with it

B. He stole the idea from Leonardo da Vinci

C. He was the first to calculate it using Roman numerals

D. He published it in a popular book Which operation must you use to calculate Fibonacci sequence?

A. Addition

B. Subtraction

C. Multiplication

D. Division Which of the following is a true statement about Fibonacci?

A. His father name was Bonaccio

B. He popularized de Roman numeral system

C. He was from the city of Padua, Italy

D. He was a painter and inventor as well as mathematician A chicory plant is most likely to have how many petals?

A. 18

B. 19

C. 20

D. 21 D. 21 What is the next number of the sequence: 8, 13, 21, 34, 55,

A. 67

B. 78

C. 89

D. 98 Which of the following is an Arabic numeral?

A. IX

B. Nine

C. 9

D. IIII IIII C. 89 C. 9 What was the relationship between Fibonacci and Leonardo da Vinci?

A. Leonardo use Fibonacci´s ideas in his artwork

B. Leonardo help Fibonacci develop his famous sequence

C. Leonardo was a descendent of Fibonacci

D. There was no connection between the two men D. There was no connection

between the two men B. He´d had extensive contact

with the Arab world What can you infer about Fibonacci from the numeral system he used?

A. He was an exceptionally creative thinker

B. He´d had extensive contact with the Arab world

C. He was able to count higher than any mathematician before him

D. He actually wasn´t very good at math THE END Decimal system Fibonacci numbers Square root notation Fibonacci Project

His life, his work and the Rabbit experiment Fibonacci Project

Questions? THANK YOU!!