AP Calculus
 AB Scope and Sequence                 BC Scope and Sequence   **Proficiency rubrics for each Reporting Strand can be found by clicking on the underlined links,**   or by using the Rubric Assembler   Limits 1.1  The concept of a limit can be used to understand the behavior of functions. 1.2  Continuity is a key property of functions that is defined using limits.       Derivatives 2.1 The derivative of a functions is defines as the limit of a difference quotient and can be determined using a variety of strategies. 2.2 The Mean Value Theorem connects the behavior of a differentiable function over an interval to the behavior of the derivative of that function at a particular point in the interval.        Derivative Application 3.1 The derivative has multiple interpretations and applications including those that involve instantaneous rates of change. 3.2 A function’s derivative, which is itself a function can be used to understand the behavior of the function.         Integrals 4.1 Antidifferentiation is the inverse process of differentiation 4.2 The definite integral of a function over an interval is the limit of a Riemann sum over that interval and can be calculated using a variety of strategies 4.3 The Fundamental Theorem of Calculus, which has two distinct formulations, connects differentiation and integration       Integral Application 5.1 The definite integral of a function over an interval is a mathematical tool with many interpretations and application involving accumulation.  5.2 Antidifferentiation is an underlying concept involved in solving separable differential equations.  Solving separable differential equations involves determining a function or relation given its rate of change.       Series 6.1  The sum of an infinite number of real numbers may converge 6.2  A function can be represented by an associated power series over the interval of convergence for the power series.       Polar, Parametric and Vectors Use polar, parametric and vectors functions with derivatives and  integrals       AP Synthesis Cumulative Assessment and Application of Standards