Unit 1 lesson sequence — assign in order
- Course intro: how the BC exam works; what to know before calculus (functions, trig, exp/log)
- Defining limits + limit notation: introducing limits with graphs and tables
- Estimating limit values from graphs + from tables + one-sided limits
- Continuity: definition, removable/jump/infinite discontinuities, continuity over intervals
- Limits at infinity + infinite limits: end behavior, vertical/horizontal asymptotes of rational + trig functions
- Algebraic evaluation: factoring, rationalizing, trig limits, squeeze theorem; limits of composite functions
- Unit 1 quiz + unit test (require ≥80%) + AP Classroom Unit 1 Progress Check
Weeks 1–2: Precalc reboot (supports Unit 1)
- L1: Functions, transformations, composition, inverses, piecewise + absolute value
- L2: Trig crash: unit circle at 0, π/6, π/4, π/3, π/2; identities; sin/cos graphs; inverse trig ranges
- L3: Exp/log laws, e, ln, growth equations, domain/range
- L4: No-calc algebra speed: factoring, rationalizing, rational asymptotes (20 Q, 25 min)
Weeks 3–4: Limits & continuity in class
- L5: Limit intuition (graph/table/one-sided) + squeeze theorem with practice set
- L6: Trig + absolute-value limits, limits at infinity, asymptotes
- L7: Continuity + IVT justification writing: “because f is continuous on [a,b] …”
- L8: Review + 15 MCQ non-calc exit (target 11/15) + FRQ-style IVT sentence
Pitfall: canceling holes without noting domain. Drill removable discontinuity every lesson. CED: LIM-1–LIM-3, FUN-1–FUN-3.