Unit 2 sequence — definition + basic rules
- Define average vs instantaneous rates; secant lines; derivative as tangent slope
- Derivative definition f'(x) = lim(h→0); estimating derivatives from tables/graphs; differentiability vs continuity (corner/cusp/vertical tangent); proof: differentiability ⇒ continuity
- Power rule + positive/negative/fractional exponents; derivatives of sin, cos, eˣ, ln x
- Product + quotient rules — mixed speed sets; function combination drills
- Differentiability at a point (algebraic practice) + Unit 2 quiz + unit test
Unit 3 sequence — composite, implicit, inverse (BC: + L'Hôpital)
- Chain rule: nested 3-deep, chain + table/graph problems
- Implicit differentiation + second derivatives d²y/dx²; differentiating inverse functions; arcsin/arccos/arctan; logarithmic differentiation
- Higher-order derivatives; L'Hôpital for 0/0 and ∞/∞ (BC); relating f, f', f'' graphs
- Unit 3 quiz + unit test + FRQ: 2019 AB #4 table style; 2015 AB/BC 3a rate estimate
In-class (Weeks 5–8)
- Daily 5-min chain-rule warmup all month (biggest later bottleneck)
- Week 8: 30 non-calc mixed MCQ timed + tangent-line FRQ with “show setup” grading
CED: FUN-2–FUN-4, CHA-1–CHA-3. Review tie-in: 2017 AB/BC 4a tangent-line problem.