Explicit engineering instruction
Optimization means improving performance within constraints, not maximizing every variable simultaneously.
A final engineering argument should include the problem definition, model prediction, test data, tradeoffs, and the reason for the selected revision.
A design can remain imperfect and still be well engineered if the tradeoffs are explicit and evidence supports the decision.
Vocabulary: optimization; tradeoff; evidence; revision; design defense.
Worked example
A lighter design may sacrifice some stiffness but still be optimal if mass has higher priority and minimum stiffness constraint is satisfied.
Guided question
Write a design defense explaining why your selected solution is preferable under the stated priorities.
Independent work
- Submit a criteria/constraint table.
- Submit one predictive model.
- Submit test evidence and a revision.
- Write a final defense with one remaining limitation.
Spiral retrieval bridge
- From Week 32: name one communication-system tradeoff.
- From Week 30: use power as a circuit design criterion.
- From Week 27: explain why an ideal model may fail in a real system.
- From Week 17: choose among force, energy, and momentum models for a design stage.
Misconception check
Optimization is not the same as finding a universally 'best' design.
Formative check
What defines the best design in an engineering problem?
Reveal response
The solution that best satisfies prioritized criteria while meeting all constraints.
Mentor evidence conference
Ask Archaemenes to challenge criteria, weights, assumptions, and whether the evidence justifies the revision.
Teacher guidance
Foundation: Use a design-defense frame.
Core: Integrate quantitative evidence and tradeoffs.
Extended: Evaluate sensitivity to changed priorities.