Mathematics Standards
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Showing 101 - 107 of 107 Standards
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.
Standard Identifier: Calculus.9.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing.
Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing.
Showing 101 - 107 of 107 Standards
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