Students discover the mathematical constant phi, the golden ratio, through hands-on activities. …
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.
This English Language Arts lesson makes cross-curricular connections to math and computer …
This English Language Arts lesson makes cross-curricular connections to math and computer science. Although it is designed as a supplemental activity for the "Culture and Belonging" unit based on the Grade 8 Collections textbook published by Houghton Mifflin Harcourt, it can be adapted to any subject. The lesson meets the 2014 Nebraska Language Arts Standards 8.1.6.l, 8.2.2.a, and 8.2.2.e.
Using the LEGO® NXT robotics kit, students construct and program robots to …
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.
This course provides an introduction to mathematical modeling of computational problems. It …
This course provides an introduction to mathematical modeling of computational problems. It covers the common algorithms, algorithmic paradigms, and data structures used to solve these problems. The course emphasizes the relationship between algorithms and programming, and introduces basic performance measures and analysis techniques for these problems.
An activity for students to examine the use of place-value in the …
An activity for students to examine the use of place-value in the Hindu-Arabic numeration system from a historical viewpoint by looking at primary sources. Includes the key.
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