Explicit physics instruction
Position, velocity, and acceleration vary in phase-shifted ways during ideal oscillation.
At maximum displacement, speed is momentarily zero; at equilibrium, speed magnitude is often greatest.
Graph reading should distinguish amplitude, period, phase, and slope rather than treating the curve as a path through space.
Core relation: f=1/T; for ideal SHM, restoring force ∝ −displacement.
Worked example
A position-time graph repeats every 2.0 s, so T=2.0 s and f=0.50 Hz.
Guided question
Where on a position-time graph is speed likely greatest in ideal SHM?
Independent work
- Solve three period/frequency or graph questions.
- Annotate one oscillation graph.
- State one ideal-model limitation.
Misconception check
Greater amplitude does not automatically mean greater frequency in the ideal small-amplitude SHM model.
Formative check
If T doubles, what happens to f?
Reveal response
Frequency halves because f=1/T.
Mentor evidence conference
Ask Archaemenes to audit cycle counting, graph phase, and ideal-model assumptions.
Teacher guidance
Foundation: Calculate T and f.
Core: Interpret SHM graphs and energy shifts.
Extended: Quantify damping or uncertainty from repeated trials.