Link wave properties to purpose

Supplied materials

• All measurements and observations below are supplied classroom examples. They are not data from actual learners or a claim about a particular real site.
• Paper or a browser document for a labeled drawing, table or explanation.
• Worked problem inputs: Two rope patterns have equal amplitude but frequencies 2 Hz and 4 Hz. Explain what changed and what was not established.
• Assessment case 1: A paper signal has twelve oscillations in three seconds. What does this input measure? Which inference or prediction is best supported?
• Assessment case 2: Which scientific label fits the specifically described step or feature? Supplied case: Measure crest-to-crest distance.
• Assessment case 3: Which scientific label fits the specifically described step or feature? Supplied case: Measure maximum rope displacement.
• Assessment case 4: Which scientific label fits the specifically described step or feature? Supplied case: Assign bit values to pulses.
• Assessment case 5: Which scientific label fits the specifically described step or feature? Supplied case: Higher cycle rate.
• Assessment case 6: A receiver knows that short-long-short means HELP; the sender changes it to short-short-short. What follows? Which inference or prediction is best supported?

Learn the idea

Frequency and wavelength characterize patterns; amplitude characterizes displacement or field magnitude. Communication also requires encoding and decoding. A visible drawing is not a complete signal measurement.

Frequency means cycles per second. Wavelength means distance between matching wave phases. Amplitude means maximum modeled displacement from rest. Encoding means assigning information to a signal pattern.

For the supplied mechanism problem, Two rope patterns have equal amplitude but frequencies 2 Hz and 4 Hz. Explain what changed and what was not established. The second completes twice as many cycles per second. Equal amplitude means equal maximum displacement in the model. It does not make the wave speeds equal unless the medium and model conditions establish that.

1. Read the supplied problem and mark the structures, processes or quantities named: Two rope patterns have equal amplitude but frequencies 2 Hz and 4 Hz. Explain what changed and what was not established.
2. Draw the relevant boundary, pathway or comparison and label it using the scientific ideas above.
3. Write a causal explanation or calculation, showing how each observation supports the result.
4. Compare your reasoning with the worked solution; name a condition that would change or limit the inference.

Check your reasoning

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Take it further

New data: pattern A has 12 cycles in 3 s; pattern B has 12 in 6 s, both with equal amplitude. Expected: 4 Hz and 2 Hz; frequency differs, while maximum displacement remains equal in the model.

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