Bring ideas together without being told which method to use. Show the reasoning that makes your result valid.
Suggested session length: 35 minutes, as an unvalidated planning estimate. This collection contains 2 tasks; choose a manageable set and return for further sessions. Completing the whole collection may take substantially longer. This is a unit assessment, not a full course or AP examination.
Draw labeled scales and retain the logarithm base, reference units and baseline.
Save raw rows, coefficients and residuals separately from the new prediction check.
Written work requires rubric review; successful calculation is not certification of a physical model.
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0 of 2 tasks have recorded responses. No overall mastery score is assigned.
Fit a semilog model to synthetic pairs (0,4.2),(1,7.8),(2,16.4),(3,31.6), with x in hours and y in sensor units. Use assumed baseline 0 and retain log₁₀ line coefficients, original-scale equation, both SSEs and residual evidence. Predict at unused x=1.5 before comparing with a fresh reading 11.6±0.1. Tolerances: 0.0001 for line coefficients/log SSE,0.002 for original SSE/prediction. Explain what a failed new check does and does not show.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
A semilog plot uses horizontal time 0,2,4 hours and vertical coordinate log₁₀(y/(5 mg)). Three exact plotted points are (0,0),(2,1),(4,2). Construct the original-response table, recover the response equation, and predict at 3 hours. A second candidate adds a constant 10 mg to that response. Explain why its raw log-y plot is not the same straight line, how to obtain a straight transformed plot if the baseline is justified, and what new evidence is still needed.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
Review and revisit
Use each rubric to identify a valid argument, a missing condition or a step to revise. For independent evaluation, ask a teacher or reviewer to examine the complete reasoning. Self-review and recorded responses are not verified assessment results.
Coverage and targeted lesson returns
Fit a semilog model to synthetic pairs (0,4.2),(1,7.8),(2,16.4),(3,31.6), with x in hours and y in sensor units. Use assumed baseline 0 and retain log₁₀ line coefficients, original-scale equation, both SSEs and residual evidence. Predict at unused x=1.5 before comparing with a fresh reading 11.6±0.1. Tolerances: 0.0001 for line coefficients/log SSE,0.002 for original SSE/prediction. Explain what a failed new check does and does not show.
A semilog plot uses horizontal time 0,2,4 hours and vertical coordinate log₁₀(y/(5 mg)). Three exact plotted points are (0,0),(2,1),(4,2). Construct the original-response table, recover the response equation, and predict at 3 hours. A second candidate adds a constant 10 mg to that response. Explain why its raw log-y plot is not the same straight line, how to obtain a straight transformed plot if the baseline is justified, and what new evidence is still needed.
