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Bring a new dimension of learning to your classroom with activities that put math in motion.
Explore teaching strategies to help students succeed on the SAT® and ACT® math tests using TI technology.
Drive deeper, more relevant understanding of science in middle grades and high school.
With an example of the motion of a child on a swing, the activity begins with the trigonometric function between time and displacement and differentiates up to acceleration.
In Problem 1, students build an understanding of the concept of acceleration. They form the basis for deriving the forms for simple harmonic motion.
They use key animations to understand simple harmonic motion. The animations will assist students in answering questions asked throughout the activity.
Students establish that this forms the basis for deriving the forms for simple harmonic motion, beginning with the standard relationship between time and displacement, leading to velocity, and finally to acceleration.
Substituting back leads readily to the defining equation in terms of acceleration and displacement.
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