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Station 1: Explore It – Predict, Observe & Justify—Understanding Shifts
Predictive Modeling
Build intuition for how horizontal (phase) and vertical shifts change a trig graph, connect these changes to robot motion, and practice justifying mathematical observations.
Lesson 24
○ TEST
★ JUSTIFY
Start with Graph Comparison & Annotation
Examine two graphs: a standard sine/cosine and a shifted version (either phase or vertical).
Annotate directly on the graphs:
Circle the starting point of each graph.
Draw arrows to show the direction of the shift.
Label the amount and direction of the shift (e.g., “shifted right by pi/4)
Open the Scenario Motion Matching Worksheet and match the graphs below to the scenario.
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3. Error Analysis
Identify and correct the error in the scenario, explaining what the correction is and how it affects robot motion.
Checklist
I annotated and labeled both graphs.
I matched graphs to robot scenarios and justified my choices.
I made and justified a prediction about shifting.
I identified and corrected the errors.
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