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Fibonacci by Nature

Project Description

Problem solving can be a difficult concept for math learners.  This unit will introduce students to strategies and real life activities for problem solving skills.  Students will investigate real life problems through a variety of activities. Students will be introduced to the Fibonacci series of numbers.  This is a simple series of numbers but ramifications and applications are limitless. Students will show through a variety of projects the true understanding of the Fibonacci series and how they relate to nature.

Project Goals
 
Essential Question:

How are the patterns of nature expressed?
 
Specific Questions:

  •  What are Fibonacci numbers? 

  •  How are the patterns of nature related to math?         

  •  How are the patterns of the Fibonacci numbers related to the patterns of nature?              

  • What is the solution to the patterns?

  • How are some the patterns of nature related to math?

  • What are some of the patterns of nature?
Illinois and CPS Learning Standards and Performance Assessment Plan:  Grades 7/8

 

State Goal #

CAS letter

CFS #

Assessments Tools

Math

 

 

 

6

C

1, 2

rubric

9

B

1, 2

rubric

9

C

1, 2

rubric

Language Arts

 

 

 

1

A

2, 3, 4

Teacher observation

3

A

1, 2, 3, 4, 5

rubric

4

C

1, 2, 3

rubric

5

A

1, 4, 5, 6, 7, 8, 9

rubric

Science

 

 

 

11

A

3, 4, 5, 6

rubric

11

B

4, 6, 7

Teacher observation

 
 

Unit Prerequisites
 

   Students will:

  • Know the Fibonacci number series.

  •   Be familiar with the Golden Ratio.

  •  Know how to compute patterns.

  •   Know how to research technologically.

  •  Be exposed to Pascal’s Triangle and the patterns.

 
Performance Actions
 

Student will:

Access:

  •  Examine the rules of the Fibonacci series.

  • Have access to the computer for research.

  • Gather articles of nature for examination

Interpret:

  • Analyze the pattern in articles of nature.

  •  Compare and contrast the different patterns.

  •  Evaluate the patterns.

  • Determine how the patterns are related to the Fibonacci series.

Produce:

  •  Create a book to present research.

  •  Develop a board display to prove number theory.

  • Produce a series of art work or pictures.

Communicate:

  • Display final project for viewing.

  • Present oral report.

  • Publish book for others to use as a resource.

Evaluate:

  •  Critique projects.

  •  Evaluate knowledge of project.

  •  Test conclusions.

Teacher Resources

                                  Title/URL                                                                          Description

http://www.paulgriffiths.net/program/c/fibo.html

 

What are the Fibonacci number series?

http://www.xmission.com/%7Edparker/mathpage/patterns.html

Fibonacci lesson page 1

  

http://mathforum.org/library/more_info.html?id=5560

 

Fibonacci lesson page 2

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