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Discovering Phi: The Golden Ratio
Read the Fine Print
Educational Use
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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® NXT 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.

Subject:
Math
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Nicole Abaid
Date Added:
09/18/2014
The Fibonacci Sequence & Robots
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Educational Use
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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 Fibonacci verifier. By designing a robot that moves based on the Fibonacci sequence of numbers, they can better visualize how quickly the numbers in the sequence grow. To program the robot to move according to these numbers, students break down the sequence into simple algebraic equations so that the computer can understand the Fibonacci sequence.

Subject:
Math
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Alexander Kozak
Nicole Abaid
Russell Holstein
Vikram Kapila
Date Added:
09/18/2014
Little Women’s Lodge Kit
Unrestricted Use
CC BY
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The Little Women’s Lodge Kit Stories help children to learn about traditional parenting roles and responsibilities from a young age, while also teaching them Cree language reading, writing and singing.The four Cree storybooks are the core of this resource, bringing ancient Indigenous teachings to a new generation.

Subject:
Indigenous Perspectives
Material Type:
Reading
Author:
Kelli Boklaschuk
Date Added:
09/07/2022