Explicit physics instruction
This investigation tests the v=fλ relation with supplied or simulated wave data.
Use a rope/slinky simulation or virtual wave tool with safe spacing. Measure wavelength and frequency, then compare v=fλ predictions.
Preserve raw frequency, wavelength, and timing evidence before calculating speed.
Core relation: v=fλ.
Worked example
If f=4.0 Hz and measured λ=0.75 m, predicted speed is 3.0 m/s; compare repeated trials and residuals.
Guided question
Which variables must be measured to test v=fλ?
Independent work
- Solve three wave-speed or wavelength questions.
- Sketch one interference case.
- State one medium/source assumption.
Investigation / Data Lab
Use a rope/slinky simulation or virtual wave tool with safe spacing. Measure wavelength and frequency, then compare v=fλ predictions.
Preserve raw wave data, calculated speed, residuals, uncertainty, and one revision.
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.