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.

Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...

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.

Students integrate the patterns of Fibonacci into music. In this geometry lesson, students apply the concepts of recursion, pattern and Phi or Golden Ratio to composing and playing music on various instruments. They lesson is co-taught...

Students demonstrate an understanding of the relationships of the Fibonacci Sequence. They apply the Fibonacci Sequence and find its relationship to a piano keyboard. They explore various relationships between music and the Fibonacci...

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...

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...

Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...

In this art worksheet, 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...

Get hundreds of interactive activity plans using the Zome Modeling System. Among dozens of lessons, a first exposure to similar triangles can be very visual for the learner. Here, young geometers explore the number of different shapes...

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

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...

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 investigate geometry and algebra and the history behind these two interesting subjects. In this algebra lesson, students analyze the Fibonacci Sequence and relate it to solving exponential equations. There are alot of links and...

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

Students will construct a golden section and a golden rectangle and study their characteristics and connections with the Fibonacci series. They import pictures from the internet and download them into the Sketchpad. Using their "golden"...

Students 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 primary...

Students using visual modeling software will construct two regular pentagrams which are mathematically similar. They also create a multi-page document and learn to create links between the pages and to a website on the History of...

Students investigate different ways to multiply. In this algebra activity, students solve problems involving integers using basic operations. They explore the history of mathematics by differentiating the way they multiply numbers.

In this probability and statistics learning exercise, students determine the probability of a series of independent event occurring.  The one page learning exercise contains a combination of four multiple choice and free response...

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.

Learners explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...