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.
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: 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.
Activity
TeachEngineering

Teach Engineering: Discovering Phi: The Golden Ratio

For Teachers 6th - 8th
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,...
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.
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.
Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: Domino Activity

For Teachers 6th - 8th
This Math Forum site has students discover the the pattern of the Fibonacci Numbers by playing with dominos
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.
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.
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: 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,...
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
Annenberg Foundation

Annenberg Learner: Part C: Fibonacci Numbers

For Students 9th - 10th
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.
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
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...
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...
Whiteboard
ClassFlow

Class Flow: Sequence Fibonacci

For Teachers 3rd - 8th
[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.
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.
Graphic
Curated OER

Science Kids: Science Images: Fibonacci Numbers

For Students 9th - 10th
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)....
Activity
Texas Instruments

Texas Instruments: Class of Gold

For Teachers 6th - 8th
Students investigate Fibonacci numbers and the ratios of successive Fibonacci numbers.
Activity
University of Cambridge

University of Cambridge: Nrich: Gnomon 1

For Students 3rd - 8th Standards
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...
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Pythagorean Triples

For Teachers 9th - 10th Standards
Based off of the hit television show NUMB3RS, this lesson has students explore the notion of Pythagorean triples, the "traditional" method for finding Pythagorean triples, and a method to find triples which utilizes the Fibonacci...
Activity
University of Cambridge

University of Cambridge: Nrich: 1 Step 2 Step, Fibonacci

For Students 3rd - 8th Standards
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.
Activity
Other

Fascinating Triangular Numbers

For Students 9th - 10th
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...