Mathematics Standards
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Showing 41 - 50 of 142 Standards
Standard Identifier: Calculus.11.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students use differentiation to solve optimization (maximum-minimum problems) in a variety of pure and applied contexts.
Students use differentiation to solve optimization (maximum-minimum problems) in a variety of pure and applied contexts.
Standard Identifier: Calculus.12.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students use differentiation to solve related rate problems in a variety of pure and applied contexts.
Students use differentiation to solve related rate problems in a variety of pure and applied contexts.
Standard Identifier: Calculus.13.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals.
Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals.
Standard Identifier: Calculus.14.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students apply the definition of the integral to model problems in physics, economics, and so forth, obtaining results in terms of integrals.
Students apply the definition of the integral to model problems in physics, economics, and so forth, obtaining results in terms of integrals.
Standard Identifier: Calculus.15.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives.
Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives.
Standard Identifier: Calculus.16.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Standard Identifier: Calculus.16.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students compute, by hand, the integrals of a wide variety of functions by using techniques of integration, such as substitution, integration by parts, and trigonometric substitution. They can also combine these techniques when appropriate.
Students compute, by hand, the integrals of a wide variety of functions by using techniques of integration, such as substitution, integration by parts, and trigonometric substitution. They can also combine these techniques when appropriate.
Standard Identifier: Calculus.18.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students know the definitions and properties of inverse trigonometric functions and the expression of these functions as indefinite integrals.
Students know the definitions and properties of inverse trigonometric functions and the expression of these functions as indefinite integrals.
Standard Identifier: Calculus.19.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students compute, by hand, the integrals of rational functions by combining the techniques in standard 17.0 with the algebraic techniques of partial fractions and completing the square.
Students compute, by hand, the integrals of rational functions by combining the techniques in standard 17.0 with the algebraic techniques of partial fractions and completing the square.
Standard Identifier: Calculus.2.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate knowledge of both the formal definition and the graphical interpretation of continuity of a function.
Students demonstrate knowledge of both the formal definition and the graphical interpretation of continuity of a function.
Showing 41 - 50 of 142 Standards
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