Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.

What better way to introduce the idea of a sequence than with robots! An educational lesson explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the lesson challenges individuals to...

Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...

Fifth graders have the opportunity to gather information themselves on Fibonacci and on the occurrence of Fibonacci numbers in nature. They divide up into groups of 2 to 4 to research.

Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios...

Students analyze number sense by participating in a pattern identification activity. In this number sequence lesson, students examine several groups of numbers and identify the sequence in the group before adding on to it. Students check...

How can you see a number in nature? Here, learners discover both Fibonacci numbers and the golden ratio by exploring a number of different resources.  Note: Some of the resources are older and may be missing some of the links, but...

In this art activity, students view a picture of Alexander Calder's sculpture "Black, White, and Ten Red." They analyze the sculpture by first finding the "rule" in the Fibonacci sequence. Students read a paragraph about where the...

Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...

Learners study the origin of the Fibonacci Sequence.  For this investigative lesson students identify works of art where Golden Spiral or Ratio appear. 

In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...

Students work together on a word problem. They write a written report of the answer. They participate in a chessgame in which the answers are used.

Young scholars study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of...

Students use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.

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...

In addition to arithmetic and geometric sequences, Fibonacci Numbers, and figurate numbers, there are countless interesting sequences that don't follow a similar, regular pattern. These include prime numbers, perfect numbers, the...

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,...