Lesson Plan
Willow Tree

Fibonacci and Other Sequences

For Students 8th - 11th Standards
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Handout
University of St. Andrews (UK)

University of St. Andrews: Leonardo Pisano Fibonacci

For Students 9th - 10th
This University of St. Andrews site contains biographical information on the life and accomplishments of Fibonacci.
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.
Handout
Math Is Fun

Math Is Fun: Nature, the Golden Ratio, and Fibonacci, Too

For Students 9th - 10th
Looks at how spirals form in nature when cells reproduce in a flower, for example. An interactive lets students try entering different values to see if they can make a spiral pattern with no gaps. The correct figure would be the Golden...
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.
Handout
Wolfram Research

Wolfram Math World: Recursive Sequence

For Students 9th - 10th Standards
Defining recursive sequence, this site also discussed the relationship of Fibonacci numbers and recursive sequence.
Handout
Wolfram Research

Wolfram Math World: Pythagorean Triple

For Students 9th - 10th Standards
This site provides extensive information about Pythagorean triples. It begins by explaining its relation to the Pythagorean theorem, and then gives ways to generate Pythagorean triples using relatively prime numbers and Fibonacci numbers.
Handout
Wolfram Research

Wolfram Math World: Recursive Function

For Students 9th - 10th Standards
A definition of recursive function, and the relation of recursive function to recursion. There is also an example defining f(x,y) as the function xy.
Handout
Other

P.u.e.m.a.c.: Que Es La Razon Aurea?

For Students 9th - 10th
Find out how to calculate the Golden Ratio in this exercise.
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.

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