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Fibonacci Youtube Ref

The document provides information about Fibonacci and the Fibonacci sequence. It discusses how Fibonacci was born in Pisa, Italy in the 12th century and traveled extensively, learning mathematics. It then describes the famous Fibonacci sequence through a word problem about breeding rabbits. Students are asked to solve the rabbit problem by filling out a table showing the increasing number of rabbit pairs each month. The rule for the Fibonacci sequence is that each new term is the sum of the previous two terms.

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Johnry Dayupay
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89 views3 pages

Fibonacci Youtube Ref

The document provides information about Fibonacci and the Fibonacci sequence. It discusses how Fibonacci was born in Pisa, Italy in the 12th century and traveled extensively, learning mathematics. It then describes the famous Fibonacci sequence through a word problem about breeding rabbits. Students are asked to solve the rabbit problem by filling out a table showing the increasing number of rabbit pairs each month. The rule for the Fibonacci sequence is that each new term is the sum of the previous two terms.

Uploaded by

Johnry Dayupay
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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SEQUENCES MATHEMATICS

Name and Surname: …………………………………………………………………… ESO YEAR 2

FIBONACCI SEQUENCE AND...


1. Watch and listen carefully to the following Video. Use the words below to

fill in the missing gaps.

http://www.youtube.com/watch?v=LEc9GyWjFUM

numbers equals stars loved nature

middle discovery journey Fibonacci beach

“A long time ago, there was a boy who________ numbers more than anything
else in the world. He grew up in the________ ages, in the city of Pisa, where
the leaning tower is. One day the boy took a ________ to a strange new land.
And he learned a new way to write _______. People said he was a blockhead,
but he wasn’t. He made a _________ that changed the way we look at the
world around us. And guess what... Most people don’t even know his name....
_________. We find his numbers written in the _______. In every flower we
pick. In shells found on the ________. I am 11 years old and I like Math. I am
8 years old and I like ________. Math plus Nature _________ Fibonacci.!”

2. Listen to the presentation and answer the following questions. Use full

sentences. Check the answers with your parner.

a) When was Fibonacci born?

b) Where was Fibonacci born?

c) What was the profession of Fibonacci’s father?

d) In which year was the Leaning tower of Pisa built?

e) Which places did Fibonacci travel to?

f) What did Fibonacci do when he returned to Pisa?


3. Colour in and label the following places:

a) The Mediterranean Sea, blue.

b) Fibonacci’s country, green.

c) The countries that Fibonacci visited on his travels, orange.

4. Fibonacci wrote a very famous book “Liber abaci” in 1202 to describe

mathematics he learnt. It was in “Liber abaci” that Fibonacci first

described his now famous numbers, through the problem of rabbits.

“If 2 new born rabbits are put in a pen, how


many rabbits will be in the pen after one year?”

Assume that rabbits...

... always produce one male and one female offspring.

... can reproduce once every month.

... can reproduce when they are one month old.

... never die!

Make groups of four and try to solve Fibonacci rabbit’s problem.


SEQUENCES MATHEMATICS
Name and Surname: …………………………………………………………………… ESO YEAR 2

a) Use the chart below to solve the problem:

MONTH PAIRS OF RABBITS PAIRS

January 1

February 1

March 2

April 3

b) Complete the following table with the results of the previous chart.

Month January February


Number of pairs

c) The second row of the table is the Fibonacci Sequence. What’s the rule to

obtain the next term of the sequence? Complete the sentence.


The next term in Fibonacci sequence is obtained ___________________________________
________________________________________________________________________

d) Use the rule to complete the rest of the table.

Month

Number of pairs

e) How many rabbits will be in the pen after one year?

5. Watch and listen carefully to the next video and correct the answers from

exercice 4.

http://www.youtube.com/watch?v=X1L8XMTi_Vw

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