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 Equations, Division & Graphs
How can division, factor relationships, multiplicity, and graph features expose every important part of a polynomial model?
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
Skipping a missing power and misaligning like terms.
Require the learner to identify the first invalid step and provide a rule, verification, or counterexample.
Standards categories
Polynomial Identities, Remainder Theorem, Factor Theorem, Graphing Polynomial Functions. The course-wide standards union and local-reporting disclaimer are in STANDARDS_UNION.md.