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...
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...
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...
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.
Other
P.u.e.m.a.c.: Que Es La Razon Aurea?
Find out how to calculate the Golden Ratio in this exercise.
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems Pythagorean Theorem
Practice using your graphing calculator for real number problems, including the Pythagorean Theorem. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each...
Math Is Fun
Math Is Fun: Pascal's Triangle
A detailed explanation of Pascal's trianlge, with lots of examples and patterns described.
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
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.
Rice University
Rice University: Cynthia Lanius: Golden Rectangles All Around
This site is a lab sheet that students can use to explore the golden ratio. It also has other informative links on it.
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.
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.
Other
Fascinating Triangular Numbers
Patterns of numbers don't come along every day, and so when they do, they need to be bragged about! The basic definition of triangular numbers begins this site which also lists many of the properties of these numbers, highlights the...
University of Cambridge
University of Cambridge: Nrich: 1 Step 2 Step, Fibonacci
See if you can find the patterns on the staircase. Mr. Fibonacci would be so proud to know you found the solution. You can check your solution right at this nifty one-page website.
University of Cambridge
University of Cambridge: Nrich: Gnomon 1
This interactive activity gives you an opportunity to explore a specific number pattern named the "Fibonacci sequence." See what other patterns you can discover while you manipulate the blocks. There is a "Printable Page" link if you...
Math Is Fun
Math Is Fun: Common Number Patterns
Developed by a mathematics teacher from the UK, this page identifies and illustrates several common number patterns.
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.
Curated OER
Science Kids: Science Images: Fibonacci Numbers
This photo shows the Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, 21, 34 and 55 lit up on the side of a tall smoke stack. The Fibonacci sequence of numbers is named after the Italian mathematician Leonardo of Pisa (better known as Fibonacci)....