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...
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,...
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
University of Surrey: Mathematics of Fibonacci Numbers
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.
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.
Texas Instruments
Texas Instruments: Class of Gold
Students investigate Fibonacci numbers and the ratios of successive Fibonacci numbers.
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...
Texas Instruments
Texas Instruments: Sequences
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.
Texas Instruments
Texas Instruments: At a Snail's Pace for the Ti 73 Explorer
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,...
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...
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.
Other
University of Surrey: The Fibonacci Number Sequence
This resource provides extensive information on the Fibonacci number sequence. It has numerous formulas and examples.
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.
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...
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.
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...
ClassFlow
Class Flow: Sequence Fibonacci
[Free Registration/Login Required] The teacher will use this lesson plan flipchart to review the Fibonacci sequence. The students will be able to complete Fibonacci's mathematical sequence following a study of the pattern.
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.