Suggested pacing
Use approximately 10 sessions: concept development, guided practice, application, error analysis, mastery, corrections, and project evidence. Adjust by demonstrated mastery rather than age.
Instruction, differentiation, and records
Radical Functions & Rational Exponents
How do radicals, rational exponents, inverse relationships, and domain restrictions describe quantities that grow by roots and powers?
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
Multiplying numerator and denominator of the exponent instead of interpreting root and power.
Require the learner to identify the first invalid step and provide a rule, verification, or counterexample.
Standards categories
Radicals, Rational Exponents, Radical Equations, Inverse Functions. The course-wide standards union and local-reporting disclaimer are in STANDARDS_UNION.md.