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
- 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.
- 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.
- 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.
- 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
- 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.
- 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
- Cumulative Assessment and Application of Standards