K-12 Curriculum

AP Calculus

Main Page Mathematics

Scope and Sequence

AP Calculus Scope & Sequence

Gr. 9-12 Scope & Sequence

Gr. K-12 Scope & Sequence

Test Specifications

MCA-III Test Specifications Mathematics Grades 3-8 and 11.pdf

Essential Learner Outcomes

MA.APCALC.1 - Students will make connections between graphical, numerical, analytical and verbal representations of functions

MA.APCALC.2 -Students will find and describe limits as related to vertical and horizontal asymptotes as well as end behavior of graphs

MA.APCALC.3 - Students will describe and explain continuity of functions by examining equations and graphs

MA.APCALC.4 - Students will calculate and explain a derivative as a rate of change using graphs, tables and equations

MA.APCALC.5 - Students will compare and recognize the similarities and differences between differentiability and continuity

MA.APCALC.6 - Students will recognize and calculate derivatives as an instaneous rate of change using the definition of a derivative as a limit of a difference quotient

MA.APCALC.7 - Students will relate corresponding characteristics of graphs of f, f' and f"

MA.APCALC.8 - Students will use derivatives to solve a variety of problems

MA.APCALC.9 - Students will calculate, use and explain information about position, velocity, speed and acceleration using derivatives

MA.APCALC.10 - Students will calculate antiderivatives that follow directly from deriviatives of basic funcitons

MA.APCALC.11 - Students will identify and use the relationship between a derivative and an integral as expressed in both parts of the Fundamental Theorem of Calculus.

MA.APCALC.12 - Students will calculate and use the meaning of a definite integral as a limit of Riemann Sums or Trapezoidal Sums

MA.APCALC.13 - Students will calculate solutions of integrals using properties of definite integrals

MA.APCALC.14 - Students will recognize and calculate a definite integral as the net accumulation of change.

MA.APCALC.15 - Students will solve limit problems by substitution, algebra, graphs, tables and L'Hopitals rule

MA.APCALC.16 - Students will calculate Derivatives and Solve Integrals using Transcendental Functions

MA.APCALC.17 - Students will determine and use derivatives as a local linear approximation.

MA.APCALC.18 - Students will use integrals to solve a variety of problems.

MA.APCALC.19 - Students will calculate antiderivatives that involve substitution with or without substitution of limits

MA.APCALC.20 - Students will graph slope fields, sketch solutions to slope fields and separate variables in differential equations to find solutions for slope fields

MA.APCALC.21 - Students will solve problems using antiderivatives with separable differential equations and with initial conditions

MA.APCALC.22 - Students will model a written description of a physical situation, with a function, with a differential equation or an integral

MA.APCALC.23 - Students will communicate mathimatically and explain solutions to problems both verbally and in written sentences

MA.APCALC.24 - Students will determine the reasonableness of solutions including sign, size, relative accuracy and units of measure

MA.APCALC.25 - Students will use technology to help solve problems, experiment, interpret results and support conclusions.

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