Explicit physics instruction
Wave synthesis links medium behavior, v=fλ, superposition, and energy transfer.
Use the Friday transfer to distinguish source-controlled frequency from medium-dependent speed.
Matter in the medium does not generally travel with the wave over long distances; the disturbance and energy propagate.
Core relation: v=fλ.
Worked example
A wave with f=5 Hz and λ=2 m travels at v=10 m/s. If the same medium keeps v fixed and f doubles, λ must halve.
Guided question
Explain why doubling f in the same medium can halve λ without increasing v.
Independent work
- Solve three wave-speed or wavelength questions.
- Sketch one interference case.
- State one medium/source assumption.
Spiral retrieval bridge
- From Week 23: connect period and frequency.
- From Week 19: distinguish angular speed from linear speed.
- From Week 03: interpret slope as rate of change.
Misconception check
Matter in the medium does not generally travel with the wave over long distances; the disturbance and energy propagate.
Formative check
If speed is constant and frequency doubles, what happens to wavelength?
Reveal response
It halves.
Mentor evidence conference
Ask Archaemenes to audit units, medium assumptions, and superposition reasoning.
Teacher guidance
Foundation: Calculate with v=fλ.
Core: Interpret interference and standing-wave diagrams.
Extended: Evaluate residuals and boundary-condition effects.