Explicit physics instruction
This investigation maps response amplitude against driving frequency.
Use a tone/sound simulation at safe volume or supplied resonance dataset. Compare response amplitude versus driving frequency.
Preserve raw frequency/amplitude data and identify peak response plus uncertainty.
Core relation: v=fλ; resonance near natural frequency.
Worked example
If response amplitude peaks near 8.0 Hz across repeated trials, report the peak range rather than pretending the natural frequency is exact.
Guided question
Which graph best reveals a resonance peak?
Independent work
- Solve three sound/resonance questions.
- Interpret one standing-wave or resonance graph.
- State one damping/boundary assumption.
Investigation / Data Lab
Use a tone/sound simulation at safe volume or supplied resonance dataset. Compare response amplitude versus driving frequency.
Evidence record: raw frequency/response data, graph, peak estimate, uncertainty, and one revision.
Misconception check
Resonance does not mean energy is created; it means energy transfer from the driver is especially effective.
Formative check
What happens to response near a natural frequency?
Reveal response
Amplitude can increase because energy transfer from the driver becomes especially effective.
Mentor evidence conference
Ask Archaemenes to audit frequency/wavelength units, resonance evidence, and damping assumptions.
Teacher guidance
Foundation: Calculate with v=fλ and identify resonance.
Core: Interpret beats, standing waves, and resonance curves.
Extended: Analyze damping and engineering tradeoffs.