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Discovering Phi: The Golden Ratio
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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:
Career and Technical Education
Mathematics
Technology and Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
AMPS GK-12 Program,
Nicole Abaid
TeachEngineering.org
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:
Career and Technical Education
Mathematics
Technology and Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
AMPS GK-12 Program,
Alexander Kozak
Nicole Abaid
Russell Holstein
TeachEngineering.org
Vikram Kapila
Date Added:
09/18/2014
Genomics and Computational Biology, Fall 2002
Conditional Remix & Share Permitted
CC BY-NC-SA
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Subject assesses the relationships between sequence, structure, and function in complex biological networks as well as progress in realistic modeling of quantitative, comprehensive functional-genomics analyses. Topics include: algorithmic, statistical, database, and simulation approaches; and practical applications to biotechnology, drug discovery, and genetic engineering. Future opportunities and current limitations critically assessed. Problem sets and project emphasize creative, hands-on analyses using these concepts. From the course home page: In addition to the regular lecture sessions, supplementary sections are scheduled to address issues related to Perl, Mathematica and biology.

Subject:
Biology
Life Science
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Church, George McDonald
Date Added:
01/01/2002
Grade 1 Close, Far, In Between Routine Quarter 3
Conditional Remix & Share Permitted
CC BY-NC
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This google slide show will be used by grade 1 teachers with their students as a numeracy routine. In this routine, "Close, Far, In Between" from Teaching Student-Centered Mathematics, Van de Walle focuses on number sense development and relative magnitude. Relative magnitude refers to the size relationship one number has with another. Three numbers are displayed for students to consider. These can be written on the board, chart paper, or shown using the document camera. Teachers display three numbers then ask a variety of questions prompting students to think about relative magnitude and build a more sophisticated understanding of our number system.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
03/21/2019
Grade 1 Clothesline Math Routine Quarter 2
Conditional Remix & Share Permitted
CC BY-NC
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This google slide presentation describes a numeracy routine for grade 1 use during the second quarter. The routine involves sequencing various representations of numbers on a clothesline. Printable materials are included.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
02/26/2019
Grade 1 Clothesline Routine Quarter 3
Conditional Remix & Share Permitted
CC BY-NC
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This google slide presentation describes a numeracy routine for grade 1 use during the third quarter. The routine involves sequencing various representations of numbers on a clothesline. Printable materials are included. The items used build upon those used in the first quarter of the year.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
03/21/2019
Kindergarten Clothesline Math Routine Quarter 2
Unrestricted Use
CC BY
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This google slide presentation describes a numeracy routine for Kindergarten use during the second quarter. The routine involves sequencing various representations of numbers on a clothesline. Printable materials are included.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
02/26/2019
Listening to the Customer, Fall 2002
Conditional Remix & Share Permitted
CC BY-NC-SA
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Introduction to "soft" consumer research methods, useful for getting quick customer input into decisions on product design and development, strategic positioning, advertising, and branding. Covers interview techniques, observational methods, Voice of the Customer, focus groups, and analyses suitable for qualitative data. Introduces new information-gathering methods in development at MIT.

Subject:
Career and Technical Education
Marketing, Management and Entrepreneurship
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Prelec, Drazen
Date Added:
01/01/2002