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
Logarithmic Functions & Equations
How do logarithms reverse exponential processes, compress scale, and reveal time, magnitude, and rate?
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
Allowing zero or negative logarithm inputs in the real numbers.
Require the learner to identify the first invalid step and provide a rule, verification, or counterexample.
Standards categories
Logarithms, Inverse Functions, Exponential Equations, Applications. The course-wide standards union and local-reporting disclaimer are in STANDARDS_UNION.md.