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Function in Motion: Modeling Movement with Sine and Cosine Graphs
Function in Motion: Modeling Movement with Sine and Cosine Graphs
How can we use the parameters in a sine or cosine function to accurately model, analyze, and communicate the movement of a robotic arm—including its range, speed, timing, and starting position—so that our design supports safe and effective robotic actions?
Learning Intentions:
Write a sine or cosine function to represent a robotic movement, explain the meaning of each transformation parameter (A, B, C, D) in the context of their robot, sketch graphs that reflect real robot movements (including range, timing, and starting position), and model motion to support safe, accurate, and timed actions in their project.
Today's Concept:
You have all the pieces. You know what a sine wave is. You know how to stretch it, squash it, and slide it up, down, left, and right. You know what A, B, C, and D do.
Today, you stop practicing on generic problems. Today, you write the actual 'choreography' for your user's robot. You're going to take a real task, like helping someone stir their coffee, and turn it into a precise mathematical equation that tells the robot exactly how to move. This equation is the bridge between what your user needs and what the robot will actually do. If this model is wrong, the coffee spills. If it's right, you've solved the problem.
Station 1
Station 1
Explore It – Graph Detector
Station 2
Station 2
Build It – Motion Story Builder
Station 3
Station 3
Prepare It – Robot Arm Design Challenge
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