Constructed Response 3 1 & 2 814 Activity one Daily Five Derivatives Question Quizzes Slope as a rate of change Instantaneous rate of Weekly AP change vs. Average rate Free Response Sets of change Activity two Quiz (Rates of Change, Limit Definition of Tangent & Normal Lines Derivatives) consists of: Limit Definitions of Derivatives Brief Constructed (as h and x→a) →0 Response The Derivative as a Function (focus on communicating the Quiz (Derivative importance of notation) & Particle Motion) Differentiability implies consists of: Brief Continuity (not reverse) Constructed Response ---------------------------------------- Derivative (Constant, Test (Derivative Power, Sum, Difference, Rules) consists of: Product, Quotient) Multiple Choice, Brief Higher Order Derivatives Constructed Response, Particle Motion (Position, Extended Constructed Response Velocity, Acceleration, Jerk) (focus on communicating the importance of notation & Test (All drawing conclusions) Differentiation) consists ---------------------------------------- of: Multiple Choice, Brief Trigonometric Derivatives Constructed Response, Extended Constructed Chain Rule Response Derivatives tables ---------------------------------------- Implicit Derivatives Exponential & Logarithmic Derivatives Derivative of an Inverse Function Derivatives of Inverse Trigonometric Functions (sin1x, cos1x, tan1x only) 4 2 Five 1520 Extrema (Critical Numbers, Absolute Max/Min, Relative Question Quizzes of Max/Min) Weekly AP Derivatives Activity 3 Free Response Sets Increasing/Decreasing Intervals Test (Apps. Of Concavity Test Points of Inflection 1st & 2nd Derivative Tests (Max/Min) (focus on writing and 9
Constructed Response 3 Derivatives 1 & 2 814 Activity one Slope as a rate of change Instantaneous rate of change vs. Average rate of change Activity two Tangent & Normal Lines Limit Definitions of Derivatives (as h →0 and x→a) The Derivative as a Function (focus on communicating the importance of notation) Differentiability implies Continuity (not reverse) ---------------------------------------- Derivative (Constant, Power, Sum, Difference, Product, Quotient) Higher Order Derivatives Particle Motion (Position, Velocity, Acceleration, Jerk) (focus on communicating the importance of notation & drawing conclusions) ---------------------------------------- Trigonometric Derivatives Chain Rule Derivatives tables ---------------------------------------- Implicit Derivatives Exponential & Logarithmic Derivatives Derivative of an Inverse Function Derivatives of Inverse Trigonometric Functions (sin1x, cos1x, tan1x only) Daily Five Question Quizzes Weekly AP Free Response Sets Quiz (Rates of Change, Limit Definition of Derivatives) consists of: Brief Constructed Response Quiz (Derivative & Particle Motion) consists of: Brief Constructed Response Test (Derivative Rules) consists of: Multiple Choice, Brief Constructed Response, Extended Constructed Response Test (All Differentiation) consists of: Multiple Choice, Brief Constructed Response, Extended Constructed Response 4 of Derivatives 2 1520 Extrema (Critical Numbers, Absolute Max/Min, Relative Max/Min) Activity 3 Increasing/Decreasing Intervals Concavity Test Points of Inflection 1st & 2nd Derivative Tests (Max/Min) (focus on writing and Five Question Quizzes Weekly AP Free Response Sets Test (Apps. Of 9
ap_calculus_syllubus_14-15.docx