+
Handout
Other

University of Surrey: Who Was Fibonacci?

For Students 9th - 10th
A biography of Fibonacci that discusses his life and his various mathematical contributions. Also has pictures of the Fibonacci memorial in Pisa.
+
Unit Plan
Other

University of Surrey: The Nth Fibonacci Number

For Students 9th - 10th
Discusses the functions that will give the nth Fibonacci number in terms of n. The resource also provides advanced applications of the Fibonacci sequence.
+
Unit Plan
Other

University of Surrey: Mathematics of Fibonacci Numbers

For Students 9th - 10th
The mathematics behind Fibonacci numbers and the mathematics that comes as a result of them as well. Provides a lot of activities you can try using the Fibonacci sequence.
+
Unit Plan
Other

University of Surrey: Hard Fibonacci Puzzles

For Students 9th - 10th
A list of difficult puzzles that deal with Fibonacci sequences and numbers. Especially interesting for students who enjoy puzzles and sequences.
+
Unit Plan
Boston University

Fractal Geometry of the Mandelbrot Set Ii

For Students 9th - 10th
This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.
+
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: It All Started With a Pair of Rabbits

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to the set of Fibonacci numbers and shows how this set is present in many aspects of nature. Through the lesson, students explore the first 13 elements in the...
+
Activity
Texas Instruments

Texas Instruments: Sequences

For Teachers 9th - 10th
Students learn how to graph the first n terms of a sequence, how to set the window and how to evaluate the nth term of a sequence. They also explore the Fibonacci sequence and Web plots.
+
Activity
Texas Instruments

Texas Instruments: At a Snail's Pace for the Ti 73 Explorer

For Teachers 6th - 8th
It is hard to imagine a way to mathematically describe a spiral. Spirals are commonly seen in nature. There are a number of different types of spirals. Some interesting examples include the spiral arrangements of scales in pine cones,...
+
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Sequences

For Students 9th - 10th Standards
An introductory tutorial on sequences, complete with important definitions, example problems and step-by-step solutions, and several practice exercises for you to complete and check. Provides good explanations and examples of arithmetic,...
+
Activity
Math Is Fun

Math Is Fun: Golden Ratio

For Students 9th - 10th
A clear explanation, with drawings and examples, of the golden ratio. The examples demonstrate the beauty of mathematics, such as how two Fibonacci numbers can approximate the golden ratio, and why the golden ratio can be called the...
+
Activity
Other

Mathman: The Fibonacci Numbers, Pineapples, Sunflowers, and the Golden Mean

For Students 9th - 10th
Here is an exercise to do using a pineapple to explore Fibonacci numbers. Then find the ratios of larger to smaller of each consecutive pair of Fibonacci numbers and graph them to find out the sequence.
+
Activity
Math Is Fun

Math Is Fun: Pascal's Triangle

For Students 9th - 10th
A detailed explanation of Pascal's trianlge, with lots of examples and patterns described.
+
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Golden Ratio, Fibonacci Sequence Faq

For Students 9th - 10th
This site contains questions and answers regarding the Golden Ration and how the Fibonacci numbers relate to the ratio of lengths of golden rectangles. Related links are available at the end of the site.
+
Activity
Other

University of Surrey: The Fibonacci Number Sequence

For Students 9th - 10th
This resource provides extensive information on the Fibonacci number sequence. It has numerous formulas and examples.
+
Unit Plan
Other

University of Surrey: Easier Fibonacci Puzzles

For Students 9th - 10th
A list of "easy" puzzles that have Fibonacci sequences or numbers as their answers. Provides some interesting puzzles to discuss when studying the Fibonacci sequence.
+
Handout
Science Struck

Science Struck: 13 Real Life Examples of the Golden Ratio

For Students 9th - 10th
Explains what the golden ratio is and its relationship to the Fibonacci sequence. Gives interesting examples of the golden ratio in plants, seashells, astronomy, weather, the human body, insects, DNA, and animals.
+
Lesson Plan
Discovery Education

Discovery Education: Numbers in Nature

For Teachers 9th - 10th
This Fibonacci sequence lesson plan is aimed at grades 9-12, but would be appropriate for some junior high classes. It includes historical background and examples of Fibonacci numbers in nature, as well as suggested readings and ties to...
+
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Visual Patterns Grades 10 12

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the next term in a sequence.
+
Lesson Plan
Alabama Learning Exchange

Alex: Fibonacci Poetry

For Teachers 9th - 10th
Students will review the Fibonacci sequence and compose poems with the number of syllables in each line corresponding to the the numbers of that sequence.This lesson plan was created as a result of the Girls Engaged in Math and Science...
+
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Fibonacci Sequence

For Students 9th - 10th
This site from the Math Forum explains the explicit formula for fibonacci numbers.
+
Unit Plan
Other

University of Surrey: The First 500 Fibonacci Numbers

For Students 9th - 10th
A list of the first 500 Fibonacci numbers, including their prime factorization and whether they are prime.
+
Handout
Math Words

Math words.com: Golden Mean

For Students 9th - 10th
A basic definition for what the Golden Mean (Golden Ratio) is and how to find its reciprocal.