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Waves in Motion: Graphing Trigonometric Paths for Robotic Arms
Waves in Motion: Graphing Trigonometric Paths for Robotic Arms
How can we use sine or cosine graphs to visually represent and analyze the movement of a robotic arm, and what do amplitude and period tell us about how far and how fast the robot moves?
Learning Intentions:
Plot basic sine or cosine graphs using tables of values, identify and label amplitude and period, and describe how these graphs represent the range and speed of a robot joint’s movement.
Today's Concept:
Up until now, we've used trig to find a static position (i.e., where is the arm right now?). But robots don't just sit there; they move. They wave, they sweep, they oscillate back and forth.
How do we describe that back-and-forth motion mathematically? We don't want a list of a million coordinates. We want a single, elegant picture that tells us everything about the movement. Today, we're going to unroll the unit circle and turn it into a graph. This graph is the 'sheet music' for your robot's dance, telling you exactly how far it will swing and how fast it will go.
Station 1
Station 1
Explore It – Motion Storytelling
Station 2
Station 2
Apply It – Graph Foundations
Station 3
Station 3
Build It – Transform and Connect
Station 4
Station 4
Peer Coach — Application & Reflection
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