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Teach Engineering: Discovering Phi: The Golden Ratio ActivityTeach Engineering: Discovering Phi: The Golden Ratio Activity
Publisher
TeachEngineering
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Activity

Teach Engineering: Discovering Phi: The Golden Ratio

Curated by ACT

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, which are close to phi. Then students learn a basic definition of a mathematical sequence, specifically the Fibonacci sequence. By taking ratios of successive terms of the sequence, they find numbers close to phi. They solve a squares puzzle that creates an approximate Fibonacci spiral. Finally, the instructor demonstrates the rule of the Fibonacci sequence via a LEGO MINDSTORMS EV3 robot equipped with a pen. The robot (already created as part of the companion activity, The Fibonacci Sequence & Robots) draws a Fibonacci spiral that is similar to the nautilus shape.

3 Views 4 Downloads
Concepts

golden ratio, robotics, stem

Additional Tags

golden mean, phi, robotics curriculum, fibonacci sequence, integrated teaching and learning program and laboratory, lego, mindstorms, nxt, teachengineering, fibonacci series
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Resource Details

Grade
6th - 8th
Subjects
Math
2 more...
Resource Type
Activities & Projects
Audiences
For Administrator Use
1 more...
Lexile Measures
0L

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