Mathematics Standards
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Showing 91 - 100 of 160 Standards
Standard Identifier: AP-Prob&Stats.8.0
Grade Range:
9–12
Discipline:
Statistics and Probability (AP)
Standard:
Students determine the mean and the standard deviation of a normally distributed random variable.
Students determine the mean and the standard deviation of a normally distributed random variable.
Standard Identifier: AP-Prob&Stats.9.0
Grade Range:
9–12
Discipline:
Statistics and Probability (AP)
Standard:
Students know the central limit theorem and can use it to obtain approximations for probabilities in problems of finite sample spaces in which the probabilities are distributed binomially.
Students know the central limit theorem and can use it to obtain approximations for probabilities in problems of finite sample spaces in which the probabilities are distributed binomially.
Standard Identifier: Calculus.1.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate knowledge of both the formal definition and the graphical interpretation of limit of values of functions. This knowledge includes one-sided limits, infinite limits, and limits at infinity. Students know the definition of convergence and divergence of a function as the domain variable approaches either a number or infinity:
Students demonstrate knowledge of both the formal definition and the graphical interpretation of limit of values of functions. This knowledge includes one-sided limits, infinite limits, and limits at infinity. Students know the definition of convergence and divergence of a function as the domain variable approaches either a number or infinity:
Standard Identifier: Calculus.1.1
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students prove and use theorems evaluating the limits of sums, products, quotients, and composition of functions.
Students prove and use theorems evaluating the limits of sums, products, quotients, and composition of functions.
Standard Identifier: Calculus.1.2
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students use graphical calculators to verify and estimate limits.
Students use graphical calculators to verify and estimate limits.
Standard Identifier: Calculus.1.3
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students prove and use special limits, such as the limits of (sin(x))/x and (1−cos(x))/x as x tends to 0.
Students prove and use special limits, such as the limits of (sin(x))/x and (1−cos(x))/x as x tends to 0.
Standard Identifier: Calculus.10.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students know Newton’s method for approximating the zeros of a function.
Students know Newton’s method for approximating the zeros of a function.
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.
Showing 91 - 100 of 160 Standards
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