Explicit physics instruction
A mechanical wave is a traveling disturbance through a medium. Individual medium particles usually oscillate locally while energy propagates through the system.
Wave speed, frequency, and wavelength are related by v=fλ. Frequency is set by the source; wavelength adjusts to the wave speed of the medium.
Superposition means overlapping disturbances add algebraically. Reflection, transmission, interference, and standing-wave patterns follow from this principle.
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
Which wave quantities describe repetition, spacing, and propagation rate?
Independent work
- Solve three wave-speed or wavelength questions.
- Sketch one interference case.
- State one medium/source assumption.
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.