Suggested pacing
Use approximately 5 sessions: concept development, guided practice, application, error analysis, mastery, corrections, and project evidence. Adjust by demonstrated mastery rather than age.
Instruction, differentiation, and records
Advanced Mathematical Modelling Capstone
How can a transparent, tested, and ethically communicated mathematical model support a real decision?
Three pathways
Foundation: prerequisite retrieval, scaffolded steps, tables and graphs. Core: complete unit targets. Extended: proof, parameter analysis, modelling, and pre-calculus connections.
Assessment evidence
Use lesson checks, practice explanations, the randomized mastery check, corrections, project rubric, oral explanation, and representative work together. Do not infer mastery from one score alone.
Key misconception
Choosing a question because it sounds impressive even though data, scope, or ethics make it unanswerable.
Require the learner to identify the first invalid step and provide a rule, verification, or counterexample.
Standards categories
Mathematical Modelling, Inquiry, Technology, Communication, Evaluation. The course-wide standards union and local-reporting disclaimer are in STANDARDS_UNION.md.