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In his book Liber Abaci, Fibonacci attempts to mathematically model the population evolution of a rabbit farm.It sets the following simple conditions:                

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In his book Liber Abaci, Fibonacci attempts to mathematically model the population evolution of a rabbit farm.It sets the following simple conditions:                

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1. A pair of rabbits reach the breeding age after the first two months of life.

2. From the third month of life onwards every couple gives birth to a new couple every month.

Look the figure....how many pairs will the rabbits be in the 8th month?

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This sequence is one of my favourites. So random and so perfect. I also have a challenge to all. Dowload the app METAVERSE and read the following QR code.  Enjoy!!!

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LOoking for Fibonacci

MISSION

INTRODUCTION

CHARACTERS

START

BREAKOUT

LOoking for Fibonacci

MISSION

INTRODUCTION

CHARACTERS

Leonardo Fibonacci, also known as Leonardo de Pisa, Leonardo Pisano or Leonardo Bigollo, (1170-1250) more recognized as Fibonacci was an Italian mathematician named as the first great European mathematician of the Middle Ages. He is considered by some to be the most talented Western mathematician of the Middle Ages. He was known for his great discovery of the Fibonacci sequence and for his participation in the introduction of Arabic numerals in Europe.

BREAKOUT

LOoking for Fibonacci

MISSION

INTRODUCTION

CHARACTERS

Fibonacci's family and friends are very concerned about his disappearance. They need to find him urgently. The people of each country will give you a number after you have answered three questions correctly. Keep those numbers because you will need them. For that you have to answer all the questions. At the end you will have a code that will help you discover Fibonacci. You will not be alone. You have four friends waiting for you to help you on this mission.

BREAKOUT

LOoking for Fibonacci

MISSION

INTRODUCTION

CHARACTERS

Duke's is a police dog trained in Texas.

Katie is a scientist and studied at Havard University.

John is a CIA investigator and lives in the USA.

Megan is a forensic investigator from Oxford.

BREAKOUT

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Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat volutpat.

Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat volutpat.

Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat volutpat.

Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat volutpat.

Destination 01

CHOOSE YOUR DESTINATION

Destination 02

Destination 04

Destination05

Destination 03

TRY AGAIN?

WELLCOME TO GREENLAND

Greenland is a huge island and an autonomous Danish territory between the North Atlantic and the Arctic Ocean. Much of its land surface is covered with ice.The Inuit members of the Eskimo Indian nation will give you a number. For that you have to answer all the questions.

START

QUESTION 01

How do you write 137?

One hundred twenty three.

Hundred thirty seven.

A hundred and thirty seven.

QUESTION 02

Which of the following sentences can you use in a group work?

Can you repeat the question, please? I didn't understand.

May I come in?

Step aside, please.

QUESTION 03

What's the name of a polygon with five sides?

Triangle

Pentagon

Hexagon

CONGRATULATIONS

The first number is:

2

WELLCOME TO AMAZONAS

START

Amazonas is a huge state in the northwest of Brazil, covered almost entirely by the Amazon rainforest. The capital is Manaus. the Marubo tribe will help you.

QUESTION 01

How do you read this math operation: 3 x 4 = 12?

Three times four equals twelve.

Three plus four equals twelve.

Three times twelve equals four.

QUESTION 02

Which of the following is an ordinal number?

Seventy two

Nineteen

Eighty second

QUESTION 03

How many sides does a triangle have?

Seven

Nine

Three

CONGRATULATIONS

The second number is:

7

WELLCOME TO LONDON

One Canada Square is one of the tallest skyscrapers in the world, at 235 meters. It is one of the tallest commercial buildings in the UK. Joshua will help you find another number.

START

QUESTION 01

The next two terms in the following sequence 15, 13, 11, 9, 7, ... is...

6, 5

5, 4

5, 3

- 6, 5

QUESTION 02

The first term in the even number sequence (2, 4, 6,...) is...

one

four

two

QUESTION 03

What is the fourth multiple of 3?

12

9

6

CONGRATULATIONS

The third number is:

1

WELLCOME TO SAUDI ARABIA

Saudi Arabia is a country in the desert that covers most of the Arabian Peninsula, with coastlines in the Red Sea and the Persian Gulf (Arab). Khalifa Al Nahyan will give you one more number.

START

QUESTION 01

What is the missing number in this sequence 15, 30, 45, ....., 75?

55

60

65

QUESTION 02

Indicates the term-to-term rule of the sequence 3, 5, 7, 9, ...

2 n + 1

2 n

2 n + 2

QUESTION 03

Complete the missing numbers in the sequence 8, 14, ...., 26, 32, ...., 44.

20, 40

20, 38

22, 36

CONGRATULATIONS

The fourth number is:

9

WELLCOME TO TO THAILAND

Thailand is a Southeast Asian country known for its tropical beaches, sumptuous royal palaces, ancient ruins and temples ornamented with Buddha figures. The Kayan tribe will help you find the last number. You are almost finding all the numbers to find the code.

START

QUESTION 01

What is the third term in this sequence 160, 80, 40, 20, ...?

80

10

40

QUESTION 02

What is the next term in the sequence - 1, 4, - 2, 2 , - 4, ...?

2

1

4

QUESTION 03

What is the 7th term of the Fibonacci sequence 1, 1, 2, 3, 5, 8, ... ?

13

15

19

CONGRATULATIONS

The last number is:

3

Enter the correct password

OK

0

9

1

3

4

5

6

7

8

2

CONGRATULATIONS!

Thank you so much for your great help!

Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat volutpat.

Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat volutpat.

Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat volutpat.

Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat volutpat.

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LOoking for Fibonacci MISSION INTRODUCTION CHARACTERS START BREAKOUT LOoking for Fibonacci MISSION INTRODUCTION CHARACTERS Leonardo Fibonacci, also known as Leonardo de Pisa, Leonardo Pisano or Leonardo Bigollo, (1170-1250) more recognized as Fibonacci was an Italian mathematician named as the first great European mathematician of the Middle Ages.

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Zochios Michailm 7th grade

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Fibonacci Escape Game

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FibonacciEscape game

Help Fibonacci to find three missing numers in his sequence !

Project Math Travellers

GO!

Index

Collect all the numbersby completing each of the challenges, and enter them in order in the final section to finish the game.

Introduction

Reward

01Quiz

02Find!

03Correct image

INTRODUCTION

The famous mathematician Fibonacci had a cat named Lia. Just as he was making cards on which he wrote 20 members of his sequence, Lia jumped on the table and grabbed 3 cards with 3 consecutive numbers and hid them.

Help Fibonacci to find three missing numbers and have fun solving challenges.

Next

start

QUIZ

Complete the following quiz, and getthe first number towards your reward!

QUIZ

question 1/5

What is the smallest natural number ?

zero

two

one

next

RIGHT!

QUIZ

Explanation:One is the smallest natural number.Zero is not natural number, but integer !

question 2/5

In every corner of the room there is one cat and every one of them can see three cats. How many cats are in the room ?

four

six

nine

QUIZ

NEXT

RIGHT!

QUIZ

Explanation:In every corner of the room there is one cat and there are four corners in every room.

QUESTION 3/5

There are 25 students in the class and three more girls than boys. How many girls are in the class ?

14

12

11

QUIZ

NEXT

RIGHT!

QUIZ

Explanation:If we denote the number of girls by x, then the number of boys is x-3 and we get the equation x + x-3 = 25 of which solution is 14.

QUESTION 4/5

40

36

30

QUIZ

The eggs are packed in 30 boxes of 12 pieces. If we want to pack 10 eggs in one box, how many boxes do we need for all eggs?

NEXT

RIGHT!

QUIZ

Explanation:There are 30x12 eggs =360 eggs. If we want to pack 10 eggs in one box, we need 360:10= 36 boxes.

QUESTION 5/5

Which mathematician is the father of geometry ?

Pythagoras

Euclid

Fibonacci

QUIZ

NEXT

RIGHT!

QUIZ

Explanation:The father of geometry is Euclid.

Wrong!I am sorry, think better !

ERROR!

TRY AGAIN

QUIZ

FIND!

From among all the statements you discover,click only on the correct one

START

CLICK ONLY ON THE CORRECT STATEMENT 1/3

You can drag the light to search through the darkness

Milan

Florence

Padova

Pisa

Fibonacci was born in:

CLICK ONLY ON THE CORRECT STATEMENT 2/3

You can drag the light to search through the darkness

Pedro

Diego

Leonardo

Armando

Fibonacci is known by its name:

CLICK ONLY ON THE CORRECT STATEMENT 3/3

You can drag the light to search through the darkness

11th century

14th century

10th century

12th century

13th century

In which century Fibonacci was born ?

ERROR!

Wrong!That answer is incorrect.

TRY AGAIN

CORRECT IMAGE

Choose and click on the correct image

start

Click on the image representing Fibonacci sequence in nature !

Click on the image representing Fibonacci !

ERROR!

TRY AGAIN

3

GREAT!

THE FIRST NUMBER IS:

BACK TO INDEX

Write it down so you don't forget it !

9

GREAT!

THE SECOND NUMBER IS:

BACK TO INDEX

Write it down so you don't forget it !

7

GREAT!

THE THIRD NUMBER IS:

NEXT

Write it down so you don't forget it !

ENTER THE SECRET CODE

Congratulations!

Three missing numbers are:13, 21 and 34.You helped Fibonacci to complete his sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...Tell your math teacher that you succeeded !

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Fibonacci Escape game by Vlatka Hižman-Tržić on Genially

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FibonacciEscape game Help Fibonacci to find three missing numers in his sequence ! Project Math Travellers GO! Index Collect all the numbersby completing each of the challenges, and enter them in order in the final section to finish the game. Introduction Reward 01Quiz 02Find! 03Correct image INTRODUCTION The famous mathematician Fibonacci had a cat named Lia.

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http://blabberize.com/view/id/2072922

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Emma and Valentina G. have successfully solved  Fibonacci Escape Game

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Emma and Valentina G. have successfully solved  Fibonacci Escape Game

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Emma and Valentina have successfully solved an escape game about Fibonacci

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Ema and Valentina G. are researching about Fibonacci numbers

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Ema and Valentina G. are researching about Fibonacci numbers

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Ema and Valentina G. are working on poster about Fibonacci

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http://blabberize.com/view/id/2072945

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Leonardo Fibonacci's jigsaw

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Leonardo Fibonacci

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Andreea Cîrstea

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Leonardo Fibonacci

The Golden Ratio is found by Fibonacci. Golden Ratio is a mathematical ratio. It is commonly found in nature, and when used in a design, it fosters organic and natural-looking compositions that are aesthetically pleasing to the eye.

BIOGRAPHY

BiographyFibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official.[7] Guglielmo directed a trading post inBugia, the capital of theHammadid empire.[16] Fibonacci travelled with him as a young boy, and it was in Bugia (Algeria) where he was educated that he learned about theHindu-Arabic numeral system.[17][6]Fibonacci travelled around theMediterranean coast, meeting with many merchants and learning about their systems of doing arithmetic.[18] He soon realised the many advantages of the Hindu-Arabic system, which, unlike theRoman numerals used at the time, allowed easy calculation using aplace-value system. In 1202, he completed theLiber Abaci (Book of Abacus orThe Book of Calculation),[19] which popularized Hindu-Arabic numerals in Europe.[6]Fibonacci was a guest of Emperor Frederick II, who enjoyed mathematics and science. In 1240, the Republic of Pisa honored Fibonacci (referred to as Leonardo Bigollo)[20] by granting him a salary in a decree that recognized him for the services that he had given to the city as an advisor on matters of accounting and instruction to citizens.[21] [22]Fibonacci is thought to have died between 1240[23] and 1250,[24] in Pisa.

QUOTES

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INVENTIONS

Liber AbaciIn the Liber Abaci (1202), Fibonacci introduced the so-called modus Indorum (method of the Indians), today known as the Hindu-Arabic numeral system.[25][26] The manuscript advocated numeration with ten digits including a zero and positional notation. The book showed the practical use and value of this by applying the numerals to commercial bookkeeping, converting weights and measures, calculation of interest, money-changing, and other applications. The book was well-received throughout educated Europe and had a profound impact on European thought. Replacing Roman numerals, its ancient Egyptian multiplication method, and using an abacus for calculations, was an advance in making business calculations easier and faster, which assisted the growth of banking and accounting in Europe.[27][28]The original 1202 manuscript is not known to exist.[29] In a 1228 copy of the manuscript, the first section introduces the numeral system and compares it with others, such as Roman numerals, and methods to convert numbers to it. The second section explains uses in business, for example converting different currencies, and calculating profit and interest, which were important to the growing banking industry. The book also discusses irrational numbers and prime numbers.[29][27][28]Fibonacci SequenceLiber Abaci posed and solved a problem involving the growth of a population of rabbits based on idealized assumptions. The solution, generation by generation, was a sequence of numbers later known as Fibonacci numbers. Although Fibonacci's Liber Abaci contains the earliest known description of the sequence outside of India, the sequence had been described by Indian mathematicians as early as the sixth century.[30][31][32][33]In the Fibonacci sequence, each number is the sum of the previous two numbers. Fibonacci omitted the "0" and first "1" included today and began the sequence with 1, 2, 3, ... . He carried the calculation up to the thirteenth place, the value 233, though another manuscript carries it to the next place, the value 377.[34][35] Fibonacci did not speak about the golden ratio as the limit of the ratio of consecutive numbers in this sequence.Golden RatioThe "golden ratio" is a unique mathematical relationship. Two numbers are in the golden ratio if theratioof the sum of the numbers (a+b) divided by the larger number (a) is equal to the ratio of the larger number divided by the smaller number (a/b).The golden ratio is about 1.618, and represented by the Greek letter phi, Φ.The golden ratio is best approximated by the famous "Fibonacci numbers." Fibonacci numbers are a never-ending sequence starting with 0 and 1, and continuing by adding the previous two numbers. The next numbers in the Fibonacci sequence, for instance, are 1,2,3, and 5. 0 1 1 (0 1) 2 (1 1) 3 (2 1) 5 (3 2)The ratios of sequential Fibonacci numbers (2/1, 3/2, 5/3, etc.) approach the golden ratio. In fact, the higher the Fibonacci numbers, the closer their relationship is to 1.618. 2/1 = 2 3/2 = 1.5 5/3 = 1.66666666 . . .The golden ratio is sometimes called the "divine proportion," because of its frequency in the natural world. The number of petals on a flower, for instance, will often be a Fibonacci number. The seeds of sunflowers and pine cones twist in opposing spirals of Fibonacci numbers. Even the sides of an unpeeled banana will usually be a Fibonacci number-and the number of ridges on a peeled banana will usually be a larger Fibonacci number.

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LEONARDO FIBONACCI by Efe ONHAL on Genially

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Leonardo Fibonacci The Golden Ratio is found by Fibonacci. Golden Ratio is a mathematical ratio. It is commonly found in nature, and when used in a design, it fosters organic and natural-looking compositions that are aesthetically pleasing to the eye.

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Maria Inês Baptista e Gonçalo Nogueira 8C

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Maria Inês Baptista e Gonçalo Nogueira 8C

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Maria Inês Baptista e Gonçalo Nogueira 8C

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Maria Inês Baptista e Gonçalo Nogueira 8C

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Kahoot

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Francisco Mendes 8C

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MIRUNA

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Bianca