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
Exponential Functions & Growth Models
How do repeated multiplication, percent change, and continuous growth create exponential patterns and decisions?
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
Reading b=0.8 as 80% decay; it represents 20% decay.
Require the learner to identify the first invalid step and provide a rule, verification, or counterexample.
Standards categories
Exponential Functions, Growth and Decay, Financial Mathematics, Modelling. The course-wide standards union and local-reporting disclaimer are in STANDARDS_UNION.md.