Explicit physics instruction
The Week 01 toolkit is used throughout Physics 12: define a system, choose coordinates, measure with units, represent vectors, graph relationships, and state uncertainty.
A strong quantitative solution is more than arithmetic. It names assumptions, preserves units, checks direction/magnitude, and connects the result to evidence.
Corrections are part of the record. Preserve one initial error and annotate how the model or calculation changed.
Vocabulary: quantitative model; assumption; unit audit; evidence; revision.
Worked example with reasoning
Claim: an object’s average velocity is 3.0 m/s east. Evidence: calibrated position changed +12.0 m over 4.0 s. Reasoning: v=Δx/Δt=+3.0 m/s, and the positive sign follows the declared east-positive axis.
Guided question
Write a CER-style quantitative explanation using one vector measurement and one graph slope.
Independent work
- Complete a mixed unit/vector/slope problem.
- Perform a unit and sign audit.
- Write one uncertainty statement.
- Record one corrected misconception.
Spiral readiness bridge
- Convert 72 km/h to m/s.
- Find the resultant of 3 m east and 4 m north.
- Explain precision versus accuracy.
- State why a coordinate convention must be declared before reporting a signed vector.
Misconception check
A numerically correct answer with missing units, direction, or assumptions can still be scientifically incomplete.
Formative understanding check
What four checks should accompany a quantitative physics result?
Reveal response
Units, direction/sign where relevant, assumptions/model scope, and consistency with the evidence.
Mentor evidence conference
Ask Archaemenes to audit units, assumptions, coordinate choices, and evidence limits.
Teacher guidance
Foundation: Use a four-check solution template.
Core: Integrate vectors, graphs, and uncertainty.
Extended: Defend model choice using residuals and measurement limits.