Mathematics Standards
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Showing 51 - 60 of 90 Standards
Standard Identifier: S-CP.6
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model. *
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model. *
Standard Identifier: S-CP.7
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. *
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. *
Standard Identifier: S-CP.8
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model. *
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model. *
Standard Identifier: S-CP.9
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
(+) Use permutations and combinations to compute probabilities of compound events and solve problems. *
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
(+) Use permutations and combinations to compute probabilities of compound events and solve problems. *
Standard Identifier: S-MD.6
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.7
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
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.
Showing 51 - 60 of 90 Standards
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