Mathematics Standards
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Showing 21 - 30 of 34 Standards
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.
Standard Identifier: Calculus.4.3
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students understand the relation between differentiability and continuity.
Students understand the relation between differentiability and continuity.
Standard Identifier: Calculus.4.4
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inversetrigonometric, exponential, and logarithmic functions.
Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inversetrigonometric, exponential, and logarithmic functions.
Standard Identifier: Calculus.5.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions.
Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions.
Showing 21 - 30 of 34 Standards
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