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Showing 61 - 70 of 94 Standards

Standard Identifier: F-TF.5

Grade Range: 9–12
Domain: Trigonometric Functions
Discipline: Algebra II
Conceptual Category: Functions

Cluster:
Model periodic phenomena with trigonometric functions.

Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *

Standard Identifier: F-TF.8

Grade Range: 9–12
Domain: Trigonometric Functions
Discipline: Algebra II
Conceptual Category: Functions

Cluster:
Prove and apply trigonometric identities.

Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.

Standard Identifier: N-CN.1

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:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.

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-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. *

Showing 61 - 70 of 94 Standards


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