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Lesson Plan
Curated OER

The Fibonacci Sequence

For Teachers 6th - 8th
Young scholars 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.
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Lesson Plan
MENSA Education & Research Foundation

Fabulous Fibonacci and His Nifty Numbers

For Teachers 3rd - 5th Standards
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...
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Lesson Plan
Curated OER

Golden Ratio

For Teachers 10th
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...
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Lesson Plan
Curated OER

There's Gold in Them Thar Ratios

For Teachers 7th - 10th
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.
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Lesson Plan
Teach Engineering

Discovering Phi: The Golden Ratio

For Teachers 6th - 8th Standards
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...
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Lesson Plan
Curated OER

Patterns Across Cultures: The Fibonacci Sequence in Visual Art

For Teachers 7th - 12th
Students study the origin of the Fibonacci Sequence.  In this investigative lesson students identify works of art where Golden Spiral or Ratio appear. 
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Lesson Plan
Curated OER

Sequences in Geogebra

For Teachers Higher Ed
Students follow detailed directions to use the GeoGebra program. In 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. The...
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Lesson Plan
Curated OER

The Fibonacci Keyboard- Jazz and Math

For Teachers 11th - 12th
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...
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Lesson Plan
Curated OER

Class of Gold

For Teachers 6th - 9th
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...
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Lesson Plan
Curated OER

Patterns in Nature

For Teachers 9th - 12th
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...
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Lesson Plan
K20 LEARN

Are We Golden?

For Teachers 6th - 7th Standards
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...
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Lesson Plan
Curated OER

Patterns in Nature

For Teachers 4th - 8th
Students learn about artist Larry Schulte and view examples of his work. They create addition sentence for the first seven numbers of the fibonacci sequence and use unifix cubes to build that sentences. Students color and create three...
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Lesson Plan
Curated OER

As Good As Gold

For Teachers 5th - 10th
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 plan for the...
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Lesson Plan
Curated OER

Golden Connections

For Teachers 9th - 12th
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...
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Lesson Plan
Curated OER

There's More Than One Way to Get to St. George!

For Teachers 4th
Fourth graders explore alternative ways to do the four operations.

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