Derivatives) consists drawing conclusions from sign charts) of: Multiple Choice, Graphing Calculator Activities Brief Constructed (numerically calculate the Response, Extended derivative of a function) Constructed Response Mean Value Theorem & Rolle’s Theorem Quiz (Curve ---------------------------------------- Sketching, L’Hopital’s Rule) Revisit sketching graphs of consists of: Multiple f, f ’, Choice, Brief Constructed f ” Response L’Hopital’s Rule (revisit vertical asymptotes, Quiz horizontal asymptotes, limits (Optimization, Related at infinity) (focus on Rates, Linearization) communicating limit consists of: Multiple justifications Choice, Brief Constructed Using Derivatives to find Response, Extended Functions Constructed Response ---------------------------------------- Optimization (focus on writing and drawing conclusions) Related (focus on writing and drawing conclusions) Linearization Graphing Calculator Activities (store values without rounding and retrieve these stored values) COMPREHENSIVE SEMESTER EXAM (timed exam 90 – minutes) consists of: Multiple Choice & 3 Free Response Questions (graded using AP College Board scale) 5 3 2225 Activity 4 Five Question Integrals Finding of regions Quizzes Weekly AP Riemann Sums (Left, Right, Midpoint) Free Response Sets Trapezoidal Rule Quiz (Finding areas, ---------------------------------------- Riemann Sums, Definite Integrals (focus on Trapezoidal Rule) consists communicating the of: Brief Constructed importance of notation) Response Indefinite Integral Rules (Power, Sum, Difference, Quiz (Integration 10
drawing conclusions from sign charts) Graphing Calculator Activities (numerically calculate the derivative of a function) Mean Value Theorem & Rolle’s Theorem ---------------------------------------- Revisit sketching graphs of f, f ’, f ” L’Hopital’s Rule (revisit vertical asymptotes, horizontal asymptotes, limits at infinity) (focus on communicating limit justifications Using Derivatives to find Functions ---------------------------------------- Optimization (focus on writing and drawing conclusions) Related (focus on writing and drawing conclusions) Linearization Graphing Calculator Activities (store values without rounding and retrieve these stored values) Derivatives) consists of: Multiple Choice, Brief Constructed Response, Extended Constructed Response Quiz (Curve Sketching, L’Hopital’s Rule) consists of: Multiple Choice, Brief Constructed Response Quiz (Optimization, Related Rates, Linearization) consists of: Multiple Choice, Brief Constructed Response, Extended Constructed Response COMPREHENSIVE SEMESTER EXAM (timed exam – 90 minutes) consists of: Multiple Choice & 3 Free Response Questions (graded using AP College Board scale) 5 Integrals 3 2225 Activity 4 Finding of regions Riemann Sums (Left, Right, Midpoint) Trapezoidal Rule ---------------------------------------- Definite Integrals (focus on communicating the importance of notation) Indefinite Integral Rules (Power, Sum, Difference, Five Question Quizzes Weekly AP Free Response Sets Quiz (Finding areas, Riemann Sums, Trapezoidal Rule) consists of: Brief Constructed Response Quiz (Integration 10
ap_calculus_syllubus_14-15.docx