Mathematics Standards
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Showing 91 - 100 of 107 Standards
Standard Identifier: Calculus.22.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students understand improper integrals as limits of definite integrals.
Students understand improper integrals as limits of definite integrals.
Standard Identifier: Calculus.23.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges.
Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges.
Standard Identifier: Calculus.24.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students understand and can compute the radius (interval) of the convergence of power series.
Students understand and can compute the radius (interval) of the convergence of power series.
Standard Identifier: Calculus.25.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students differentiate and integrate the terms of a power series in order to form new series from known ones.
Students differentiate and integrate the terms of a power series in order to form new series from known ones.
Standard Identifier: Calculus.26.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students calculate Taylor polynomials and Taylor series of basic functions, including the remainder term.
Students calculate Taylor polynomials and Taylor series of basic functions, including the remainder term.
Standard Identifier: Calculus.27.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students know the techniques of solution of selected elementary differential equations and their applications to a wide variety of situations, including growth-and-decay problems.
Students know the techniques of solution of selected elementary differential equations and their applications to a wide variety of situations, including growth-and-decay problems.
Standard Identifier: Calculus.3.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate an understanding and the application of the intermediate value theorem and the extreme value theorem.
Students demonstrate an understanding and the application of the intermediate value theorem and the extreme value theorem.
Standard Identifier: Calculus.4.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
Standard Identifier: Calculus.4.1
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
Standard Identifier: Calculus.4.2
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate an understanding of the interpretation of the derivative as an instantaneous rate of change. Students can use derivatives to solve a variety of problems from physics, chemistry, economics, and so forth that involve the rate of change of a function.
Students demonstrate an understanding of the interpretation of the derivative as an instantaneous rate of change. Students can use derivatives to solve a variety of problems from physics, chemistry, economics, and so forth that involve the rate of change of a function.
Showing 91 - 100 of 107 Standards
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