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...

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,...

This Math Forum site has students discover the the pattern of the Fibonacci Numbers by playing with dominos

A list of the first 500 Fibonacci numbers, including their prime factorization and whether they are prime.

This site from the Math Forum explains the explicit formula for fibonacci numbers.

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...

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,...

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.

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...

[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.

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.

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)....

Students investigate Fibonacci numbers and the ratios of successive Fibonacci numbers.

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...

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.

Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...

Defining recursive sequence, this site also discussed the relationship of Fibonacci numbers and recursive sequence.

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...

Explore the Fibonacci sequence along with other sequences.

[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the next term in a sequence.

This site is all about inverse tangents. The site includes a definition, color graphs, formulas, and many links to related terms.

Developed by a mathematics teacher from the UK, this page identifies and illustrates several common number patterns.

This site is a lab sheet that students can use to explore the golden ratio. It also has other informative links on it.

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.