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...
K20 LEARN
Are We Golden?
Lead your class on a search for precious bones. Using a presentation, the class investigates the golden ratio in art and nature. Groups of pupils measure specific bones and find the average ratio for the class. To further cement the...
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...
Teach Engineering
Discovering Phi: The Golden Ratio
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 found...
Curated OER
Using Ratios
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...
Curated OER
I Am Golden
Students 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
Alice in Fractalland
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...
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
The Golden Rectangle
Students explore the concept of the golden ratio. In this golden ratio instructional activity, students measure objects to determine if their measurements fit the golden ratio. Students calculate the average measurements of the class.
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.
Curated OER
Calculator Tricks: The Golden Prediction
Excite the class with a mathematical trick, a calculator, and a good number sense. They use the directions provided on each slide to make a list of numbers, use their calculator to divide, and find the golden mean. A little history on...
Curated OER
As Good As Gold
Students find examples of the Golden Ratio on the human body through measurement. Additionally, students learn about the use of the Golden Ratio and the Golden Rectangle in art and architecture. A very interesting lesson for the students!
Curated OER
Fibonacci and the Golden Number!
In this math patterns worksheet, students review the beginning numbers in Fibonacci's numbers, find the pattern, follow directions and problem solve to find the Golden Number and complete a chart, measure lengths of body parts and find...
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
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
"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
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
Leonardo of Pisa and the Golden Rectangle
Young scholars 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...
Curated OER
Turk-o-nacci Sequence
For this sequence worksheet, students use the Fibonacci sequence to determine the number of turkeys in a flock. This one-page worksheet contains 1 multi-step problem. The answer is provided at the bottom of the page.
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
Art and the Golden Ration
Students manipulate several metric measuring devices to become competent in their use. Students work cooperatively to complete a worksheet based on the Golden Ration. Students observe example of sculptures from different cultures and...
Curated OER
Perfection on Ice!: Math, Geometry, Fibonacci Numbers, Olympics
Young scholars use the human body as a foundation for gaining practice in measuring angles and calculating ratios and proportions.
Curated OER
Exploring the Golden Rectangle
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"...
Curated OER
Proportionality: Modeling the Future
Students explore and examine how patterns, measurement, ratios and proportions are utilized in the research development and production of airplanes. They meet a pilot from the Federal Aviation Association who describes the growth of air...