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Worksheet
Curated OER

Learning about Fibonacci

For Students 5th - 7th
In this learning about Fibonacci worksheet, students read about Leonardo Fibonacci and his contribution to mathematics, then study the pattern of Fibonacci numbers, in math and in nature.
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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

Fibonacci Numbers

For Teachers 5th - 8th
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...
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Worksheet
Curated OER

Fibonacci and the Golden Number!

For Students 4th - 6th
In this math patterns learning exercise, 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...
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Lesson Plan
Curated OER

Math in Nature

For Teachers 7th - 12th
Students explore math in nature. In this instructional activity on the Fibonacci sequence, students use natural objects and Fibonacci numbers to discover mathematical patterns.
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Lesson Plan
Curated OER

"How Divine Is My Proportion?"

For Teachers 8th
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...
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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 instructional activity students identify works of art where Golden Spiral or Ratio appear. 
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PPT
Curated OER

Early Greek Science and Philosophy

For Teachers 10th - 12th
There are fundamental principles that nearly everybody knows about. Define the principles of Golden Mean, Fibonacci Numbers, creativity, and matter in terms of their Greek origins. Presented here are brief histories, philosophies, and...
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Lesson Plan
Curated OER

Amazing Fibonacci

For Teachers 8th - 12th
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...
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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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Worksheet
Curated OER

Patterns in Nature

For Students 5th - 6th
In this patterns in nature worksheet, students read about the Fibonacci Spiral, then follow the directions to plot one on the graph paper and draw the spiral, with links to more information.
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Lesson Plan
Curated OER

Patterns and Sequences

For Teachers 9th
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.
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Lesson Plan
Curated OER

Leonardo of Pisa and the Golden Rectangle

For Teachers 10th - 11th
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...
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Lesson Plan
Curated OER

The Golden Rectangle

For Teachers 6th - 8th
Learners explore the concept of the golden ratio. In this golden ratio lesson, students measure objects to determine if their measurements fit the golden ratio. Learners calculate the average measurements of the class.
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Lesson Plan
Curated OER

Perfection on Ice!: Math, Geometry, Fibonacci Numbers, Olympics

For Teachers 5th - 7th
Students use the human body as a foundation for gaining practice in measuring angles and calculating ratios and proportions.
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Lesson Plan
Curated OER

Building Patterns Incrementally

For Teachers 1st - 2nd
Students study the recurrence rules for patterns where the increase from one term to the next is not constant. They look for the recurrence rule on their own. They copy the pattern and create the next element, continue the pattern with...
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Lesson Plan
Curated OER

Building Patterns Constantly

For Teachers 1st - 3rd
Pupils are introduced to some number patterns using buildings constructed with squares. They construct tables of patterns and finding the recurrence rule for a simple pattern where the increase from term to term is a constant.
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Lesson Plan
Curated OER

Space Tiling with Captain Planet

For Teachers 5th
Fifth graders Apply the symmetry and angle properties of polygons, using symmetry and angle properties of polygons to solve practical problems. They study tessellates and explain why a shape tessellates.
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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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Activity
TeachEngineering

Teach Engineering: The Fibonacci Sequence & Robots

For Teachers 6th - 8th
Using the LEGO NXT robotics kit, students construct and program robots to illustrate and explore the Fibonacci sequence. Within teams, students are assigned roles: group leader, chassis builder, arm builder, chief programmer, and...
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Unit Plan
PBS

Pbs: Jazz and Math: The Fibonacci Keyboard

For Teachers 9th - 10th
Teach a lesson about the piano keyboard using the Fibonacci Sequence. Explore with your students the various relationships the Fibonacci Sequence has with music.
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Activity
TeachEngineering

Teach Engineering: Discovering Phi: The Golden Ratio

For Teachers 6th - 8th
Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"--a star, a nautilus shell and human hand bones--and calculate ratios of the measured values,...