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Showing 81 - 90 of 107 Standards

Standard Identifier: N-CN.7

Grade Range: 9–12
Domain: The Complex Number System
Discipline: Algebra II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]

Standard:
Solve quadratic equations with real coefficients that have complex solutions.

Standard Identifier: N-CN.8

Grade Range: 9–12
Domain: The Complex Number System
Discipline: Algebra II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]

Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).

Standard Identifier: N-CN.8

Grade Range: 9–12
Domain: The Complex Number System
Discipline: Math III
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]

Standard:
(+) Extend polynomial identities to the complex numbers.

Standard Identifier: N-CN.9

Grade Range: 9–12
Domain: The Complex Number System
Discipline: Math III
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]

Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

Standard Identifier: N-CN.9

Grade Range: 9–12
Domain: The Complex Number System
Discipline: Algebra II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]

Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

Standard Identifier: S-ID.4

Grade Range: 9–12
Domain: Interpreting Categorical and Quantitative Data
Discipline: Algebra II
Conceptual Category: Statistics and Probability

Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.

Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *

Standard Identifier: S-ID.4

Grade Range: 9–12
Domain: Interpreting Categorical and Quantitative Data
Discipline: Math III
Conceptual Category: Statistics and Probability

Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.

Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *

Standard Identifier: S-CP.1

Grade Range: 10–12
Domain: Conditional Probability and the Rules of Probability
Discipline: Statistics and Probability
Conceptual Category: Statistics and Probability

Cluster:
Understand independence and conditional probability and use them to interpret data.

Standard:
Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”). *

Standard Identifier: S-CP.2

Grade Range: 10–12
Domain: Conditional Probability and the Rules of Probability
Discipline: Statistics and Probability
Conceptual Category: Statistics and Probability

Cluster:
Understand independence and conditional probability and use them to interpret data.

Standard:
Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. *

Standard Identifier: S-CP.3

Grade Range: 10–12
Domain: Conditional Probability and the Rules of Probability
Discipline: Statistics and Probability
Conceptual Category: Statistics and Probability

Cluster:
Understand independence and conditional probability and use them to interpret data.

Standard:
Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. *

Showing 81 - 90 of 107 Standards


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