Mathigon
Mathigon: Algebra: Fibonacci Numbers
This lesson focuses on Fibonacci numbers, a pattern based on the sum of the two previous numbers. It offers examples and practice exercises using some form of Fibonacci numbers.
Other
University of Surrey: The Nth Fibonacci Number
Discusses the functions that will give the nth Fibonacci number in terms of n. The resource also provides advanced applications of the Fibonacci sequence.
Other
Mathman: The Fibonacci Numbers, Pineapples, Sunflowers, and the Golden Mean
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.
National Council of Teachers of Mathematics
The Math Forum: Golden Ratio, Fibonacci Sequence Faq
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.
TeachEngineering
Teach Engineering: The Fibonacci Sequence & Robots
Using the LEGO NXT robotics kit, students construct and program robots to illustrate and explore the Fibonacci sequence. Within teams, students are assigned roles: group leader, chassis builder, arm builder, chief programmer, and...
Other
University of Surrey: Hard Fibonacci Puzzles
A list of difficult puzzles that deal with Fibonacci sequences and numbers. Especially interesting for students who enjoy puzzles and sequences.
University of St. Andrews (UK)
University of St. Andrews: Leonardo Pisano Fibonacci
This University of St. Andrews site contains biographical information on the life and accomplishments of Fibonacci.
Other
University of Surrey: Who Was Fibonacci?
A biography of Fibonacci that discusses his life and his various mathematical contributions. Also has pictures of the Fibonacci memorial in Pisa.
Other
University of Surrey: Easier Fibonacci Puzzles
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.
Other
University of Surrey: The First 500 Fibonacci Numbers
A list of the first 500 Fibonacci numbers, including their prime factorization and whether they are prime.
PBS
Pbs: Jazz and Math: The Fibonacci Keyboard
Teach a lesson about the piano keyboard using the Fibonacci Sequence. Explore with your students the various relationships the Fibonacci Sequence has with music.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Fibonacci Sequence
This site from the Math Forum explains the explicit formula for fibonacci numbers.
Math Is Fun
Math Is Fun: Nature, the Golden Ratio, and Fibonacci, Too
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...
Other
University of Surrey: The Fibonacci Number Sequence
This resource provides extensive information on the Fibonacci number sequence. It has numerous formulas and examples.
Discovery Education
Discovery Education: Numbers in Nature
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...
Math Is Fun
Math Is Fun: Golden Ratio
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...
Texas Instruments
Texas Instruments: Numb3 Rs: It All Started With a Pair of Rabbits
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...
Alabama Learning Exchange
Alex: Fibonacci Poetry
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...
Annenberg Foundation
Annenberg Learner: Part C: Fibonacci Numbers
Look at an interesting application of ratios that demonstrates the amazing patterns that emerge when we examine mathematics. The Fibonacci numbers are found in art, music, and nature.
TeachEngineering
Teach Engineering: Discovering Phi: The Golden Ratio
Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"--a star, a nautilus shell and human hand bones--and calculate ratios of the measured values,...
Boston University
Fractal Geometry of the Mandelbrot Set Ii
This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.
Texas Instruments
Texas Instruments: Class of Gold
Students investigate Fibonacci numbers and the ratios of successive Fibonacci numbers.
TED Talks
Ted: Ted Ed: Sponge Bob's House Is Not a Pineapple
Are SpongeBob's pants really square? Is Gary's shell a logarithmic spiral? No. But, how can we figure out if SpongeBob's house is actually a pineapple? There's math everywhere! Let's use Fibonacci numbers to help us determine this...
National Council of Teachers of Mathematics
The Math Forum: Domino Activity
This Math Forum site has students discover the the pattern of the Fibonacci Numbers by playing with dominos