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Showing 51 - 60 of 164 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. *

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. *

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. *

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. *

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). *

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). *

Standard Identifier: A-APR.1

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Algebra II
Conceptual Category: Algebra

Cluster:
Perform arithmetic operations on polynomials. [Beyond quadratic]

Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Standard Identifier: A-APR.1

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Perform arithmetic operations on polynomials. [Beyond quadratic]

Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Standard Identifier: A-APR.2

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Understand the relationship between zeros and factors of polynomials.

Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

Standard Identifier: A-APR.2

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Algebra II
Conceptual Category: Algebra

Cluster:
Understand the relationship between zeros and factors of polynomials.

Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

Showing 51 - 60 of 164 Standards


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