Suggested pacing
Use approximately 20 sessions: concept development, guided practice, application, error analysis, mastery, corrections, and project evidence. Adjust by demonstrated mastery rather than age.
Instruction, differentiation, and records
Trigonometric Functions & Periodic Models
How do angle measure, the unit circle, graphs, and periodic functions model rotation, waves, cycles, and repeated behavior?
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
Using s=rθ with θ measured in degrees.
Require the learner to identify the first invalid step and provide a rule, verification, or counterexample.
Standards categories
Trigonometric Functions, Unit Circle, Periodic Functions, Modelling. The course-wide standards union and local-reporting disclaimer are in STANDARDS_UNION.md.