Mathematics Standards
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Showing 41 - 50 of 89 Standards
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.
Standard Identifier: Calculus.6.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Standard Identifier: Calculus.7.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students compute derivatives of higher orders.
Students compute derivatives of higher orders.
Standard Identifier: Calculus.8.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students know and can apply Rolle’s Theorem, the mean value theorem, and L’Hôpital’s rule.
Students know and can apply Rolle’s Theorem, the mean value theorem, and L’Hôpital’s rule.
Showing 41 - 50 of 89 Standards
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