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Fibonacci Sequence

Fibonacci Sequence

Introduction

The Fibonacci sequence is a series of numbers developed by Leonardo Fibonacci as a means of solving a practical problem: Fibonacci wanted to determine the rate at which pairs of rabbits would reproduce. Sometimes patterns and relationships are studied simply because they are interesting, and sometimes because they help solve practical problems. Number patterns also can be studied in relation to the world in which we live, in order to help us better understand it. For instance, many of the numbers in the Fibonacci sequence can be related to the things that we see around us.


Exploration

Begin your exploration by visiting Fibonacci's Rabbits. In your own words, write a sentence or two about how the Fibonacci sequence relates to the rate at which rabbits reproduce. Use your Fibonacci Sequence student sheet for this work.

Biographical information about Italian mathematician Leonardo Pisano, better known by his nickname Fibonacci, can be found at the Leonardo Pisano Fibonacci page.

For another example of the Fibonacci Sequence in nature, go to Honeybees and Family Trees. In your own words, write a sentence or two describing the relationship of the Fibonacci sequence to the reproduction of honeybees on your student sheet.

Finally, visit Petals on Flowers to find out more about how on many plants, the number of petals is a Fibonacci number. Select one of the flowers shown on this page and describe its relationship to the Fibonacci sequence on your student sheet.


Knowledge Check

Now that you know more about the Fibonacci sequence, see if you can Solve the puzzle of the seashell spiral.

For further examples of how the Fibonacci numbers can be related to objects in the designed world, go to the Golden Section in Art, Architecture and Music.

Go to Easier Fibonacci Puzzles for activities in which you can manipulate objects such as bricks (substitute blocks and conduct as a hands-on activity), dominoes, and chairs in order to find numerical patterns and solve the puzzles. All of the puzzles have Fibonacci numbers as their answer.


This esheet is a part of the The Fibonacci Sequence lesson.

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