Milestone 4: Prototype
Apply trig laws to sketch and calculate robotic movement.
Key Deliverables:
Detailed robot arm sketches at two positions (rest/action), with labeled angles and lengths
Triangle breakdowns (identifying known/unknown values)
Trigonometric calculations (SOHCAHTOA, Law of Sines/Cosines), solving for unknowns of arm positions
Inverse trig calculations for joint angles (using user-specified positions)
Written justification of chosen math strategies
Peer-reviewed triangle sketches and feedback
How do we turn our IK calculations into a clear argument that a real audience can follow and challenge?
Learning Intentions:
Solve and present one triangle from their robotic arm design using the appropriate trigonometric method, justify their mathematical strategy and choices, communicate how trigonometry supports motion planning, and reflect on user or peer feedback to guide design revisions.
Today's Concept:
An engineer's job isn't just to get the right answer; it's to be able to defend that answer. If your robot crashes and breaks the user's favorite mug, you can't just say 'Sorry.' You have to be able to show your work and prove that your plan was sound.
Today is your 'thesis defense.' You're going to pick the most important triangle in your entire motion plan, the one that makes everything work, and you're going to walk us through it step-by-step. You'll show the math, justify your strategy, and explain why this calculation is the key to a safe, successful mission for your user.
Today's lesson is different.
We're going to spend the full period putting all your skills together to bridge the gap between your design sketches and a working robot. You'll take the motion path you've previously designed to meet a user's specific need and solve the inverse kinematics equations to bring it to life, and then test it with the robotic arm.
If you finish early, try your hand at more practice problems.