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...
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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...
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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.
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"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...
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Patterns Across Cultures: The Fibonacci Sequence in Visual Art
Young scholars 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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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...
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Sequences in Geogebra
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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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.
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Leonardo of Pisa and the Golden Rectangle
Young scholars investigate geometry and algebra and the history behind these two interesting subjects. For this algebra lesson, students analyze the Fibonacci Sequence and relate it to solving exponential equations. There are alot of...
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The Golden Rectangle
Students explore the concept of the golden ratio. In this golden ratio lesson, students measure objects to determine if their measurements fit the golden ratio. Students calculate the average measurements of the class.
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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.
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Building Patterns Incrementally
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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Building Patterns Constantly
Students 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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Space Tiling with Captain Planet
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.