Curated OER
A Fibonacci Primer
Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.
CK-12 Foundation
Recursive Formulas: Fibonacci Sequence
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
Curated OER
Golden Ratio
Tenth graders investigate the Golden Ratio. For this geometry lesson, 10th graders explore the Fibonacci sequence in the context of The Fibonacci Rabbit problem. Students examine how the ratio of two consecutive Fibonacci number create...
Curated OER
Patterns Across Cultures: The Fibonacci Sequence in Visual Art
Students study the origin of the Fibonacci Sequence. In this investigative instructional activity students identify works of art where Golden Spiral or Ratio appear.
Curated OER
Class of Gold
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 the...
Curated OER
Patterns in Nature
Research patterns in nature which illustrate biological and mathematical concepts. Your class will discover and explore aspects of fractals, Fibonaccis numbers, whale and butterfly migration patterns, whale identification, flower...
Curated OER
Amazing Fibonacci
Students integrate the patterns of Fibonacci into music. In this geometry lesson plan, students apply the concepts of recursion, pattern and Phi or Golden Ratio to composing and playing music on various instruments. They lesson plan is...
Curated OER
Worksheet for Pi
Who needs a pie-eating contest when you have a pi-ology game! Celebrate March 14th with a fun board game about pi and other geometric concepts. As learners answer questions about geometry, they move around the board to collect tokens.
Curated OER
Fibonacci Patterns
Learners solve problems using the Fibonacci Patterns. In this geometry lesson, students trackthe growing rate of a rabbit population. They collect the data and graph their results. They make predictions based on their results.
Curated OER
Perfection on Ice!: Math, Geometry, Fibonacci Numbers, Olympics
Students use the human body as a foundation for gaining practice in measuring angles and calculating ratios and proportions.
Curated OER
Patterns and Sequences
Ninth graders examine sequential number patterns and the Fibonacci sequence. Given number patterns, they determine the next number in a sequence. Students develop their own number patterns and exchange them with another to be solved.
Curated OER
Leonardo of Pisa and the Golden Rectangle
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...
Curated OER
Golden Connections
Students determine the ratio of pairs of consecutive terms in the Fibonacci Sequence. Using four different colors, they create a golden rectangle in either two or three dimensions. They use photographs to create two collages using...
Curated OER
Design, Grow, and Ponder in a Garden
A garden can inspire students to make mathematical connections.
Other
Mathematics: Fibonacci Numbers and the Golden Section
This resource contains everything you ever needed to know about Fibonacci numbers. You'll find mathematical and historical facts, examples, problems, interactive demonstrations, and more.
University of St. Andrews (UK)
University of St. Andrews: Leonardo Pisano Fibonacci
This University of St. Andrews site contains biographical information on the life and accomplishments of Fibonacci.
Boston University
Fractal Geometry of the Mandelbrot Set Ii
This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.
CK-12 Foundation
Ck 12: Geometry: Visual Patterns Grades 10 12
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the next term in a sequence.