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
Probability, Distributions & Statistical Inference
How do counting, probability models, distributions, and sampling support responsible conclusions under uncertainty?
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 permutations for a committee where order has no role.
Require the learner to identify the first invalid step and provide a rule, verification, or counterexample.
Standards categories
Probability, Statistics, Binomial Distribution, Normal Distribution, Inference. The course-wide standards union and local-reporting disclaimer are in STANDARDS_UNION.md.