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Showing 61 - 70 of 118 Standards

Standard Identifier: N-CN.2

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

Cluster:
Perform arithmetic operations with complex numbers.

Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

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-IC.1

Grade Range: 9–12
Domain: Making Inferences and Justifying Conclusions
Discipline: Math III
Conceptual Category: Statistics and Probability

Cluster:
Understand and evaluate random processes underlying statistical experiments.

Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *

Standard Identifier: S-IC.1

Grade Range: 9–12
Domain: Making Inferences and Justifying Conclusions
Discipline: Algebra II
Conceptual Category: Statistics and Probability

Cluster:
Understand and evaluate random processes underlying statistical experiments.

Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *

Standard Identifier: S-IC.2

Grade Range: 9–12
Domain: Making Inferences and Justifying Conclusions
Discipline: Algebra II
Conceptual Category: Statistics and Probability

Cluster:
Understand and evaluate random processes underlying statistical experiments.

Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *

Standard Identifier: S-IC.2

Grade Range: 9–12
Domain: Making Inferences and Justifying Conclusions
Discipline: Math III
Conceptual Category: Statistics and Probability

Cluster:
Understand and evaluate random processes underlying statistical experiments.

Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *

Showing 61 - 70 of 118 Standards


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