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Mathematics Standards




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Showing 11 - 20 of 23 Standards

Standard Identifier: F-IF.9

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

Cluster:
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]

Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Standard Identifier: F-TF.1

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

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Standard Identifier: F-TF.2

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

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

Standard Identifier: F-TF.2.1

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

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Graph all 6 basic trigonometric functions. CA

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: 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.3

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

Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Standard:
Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. *

Standard Identifier: S-IC.4

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

Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Standard:
Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. *

Showing 11 - 20 of 23 Standards


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