Curated OER
The Fibonacci Sequence
Learners investigate a numerical pattern and look for evidence of mathematical patterns in nature. They solve puzzles and work with a partner to predict sequential numbers in a series.
MENSA Education & Research Foundation
Fabulous Fibonacci and His Nifty Numbers
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...
Teach Engineering
The Fibonacci Sequence and Robots
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...
Curated OER
Fibonacci Numbers
Students calculate the Fibonacci sequence of numbers. Through the use of Fibonacci numbers in flowers, leaves, fruits, vegetables, pine cones, and other forms of nature; students explore how Fibonacci numbers occur in nature. Then they...
Curated OER
The Fibonacci Sequence Through Art Lessons
It is easy to combine math and arts lessons to create motivating and interesting activities.
Radford University
Fibonacci is All Around
One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson...
Curated OER
I Am Golden
Middle schoolers become familiar with patterns, the Fibonacci Sequence, and the Golden Ratio. They see how many places these occur. They have practical applications for using the calculator and making charts to extend patterns.
Curated OER
There's Gold in Them Thar Ratios
Students draw a model of the bunny problem which generates the Fibonacci Sequence, spirals generated from golden rectangles and golden triangles; identify the golden ratio in the human body, and find the Fibonacci numbers in nature.
Willow Tree
Fibonacci and Other Sequences
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Curated OER
Finding Fibonacci
Students study and apply the Fibonacci numbers and how they occur in nature. Students solve problems using the Fibonacci numbers.
Curated OER
Golden Ratio
Tenth graders investigate the Golden Ratio. In 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
How Does Your Population Grown?
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...
Curated OER
Patterns and Algebra - Modeling
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...
Curated OER
Math in Nature
Students explore math in nature. In this lesson on the Fibonacci sequence, students use natural objects and Fibonacci numbers to discover mathematical patterns.
Curated OER
Sequences in Geogebra
Students follow detailed directions to use the GeoGebra program. For this mathematics lesson, students find the nth term of a sequence, and use line art to approximate a Bezier's curve. Students locate points and segments on a circle....
Curated OER
Patterns Across Cultures: The Fibonacci Sequence in Visual Art
Students study the origin of the Fibonacci Sequence. In this investigative lesson students identify works of art where Golden Spiral or Ratio appear.
Curated OER
Applied Science - Science and Math Pre Lab
Students find Fibonacci sequences. In this applied Science lesson, students solve Fibonacci sequence problems. Students explore the mathematical patterns of objects in nature.
Curated OER
"How Divine Is My Proportion?"
Eighth graders explore the concept of the divine proportion/golden ratio. In this Fibonacci Sequence exploratory lesson, 8th graders measure the length and width of various objects to see which items have a divine proportion. Students...
Curated OER
Numbers in Nature
Students identify numbers in nature. In this algebra lesson, students solve problems using Fibonacci sequence as it is expressed in nature. They research the Fibonacci's pattern as it relates to numbers.
Curated OER
Amazing Fibonacci
Students integrate the patterns of Fibonacci into music. For 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...
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
Representing Patterns & Evaluating Expressions
Write algebraic expressions, determine patterns, and evaluate expressions in a real-world context. Learners engage in a series of collaborative activities to identify, model, and give variables for real-world patterns. They write...
Curated OER
Discovering Math: Rational Number Concepts
Students explore the concept of Egyptian contributions in mathematics. For this Egyptian contribution lesson, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use Egyptian...
Curated OER
Secret Sequences
Students are exposed to different types of sequences. in this sequencing lesson, students learn about simple sequences, multiplication sequences, declining sequences, the Fibonacci sequence and other sequences.