Suggested pacing
Use approximately 15 sessions: concept development, guided practice, application, error analysis, mastery, corrections, and project evidence. Adjust by demonstrated mastery rather than age.
Instruction, differentiation, and records
Polynomial Functions & Complex Numbers
How do polynomial structure, complex numbers, zeros, and end behavior work together to describe nonlinear change?
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
Calling the number of terms the degree. Degree is the largest exponent after simplification.
Require the learner to identify the first invalid step and provide a rule, verification, or counterexample.
Standards categories
Polynomial Arithmetic, Complex Number System, Zeros and Factors, Functions. The course-wide standards union and local-reporting disclaimer are in STANDARDS_UNION.md.