Mathematics Standards
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Circles
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Counting and Cardinality
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Making Inferences and Justifying Conclusions
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Similarity, Right Triangles, and Trigonometry
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Trigonometric Functions
Results
Showing 1 - 10 of 11 Standards
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.
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.
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
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. *
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.
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. *
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? *
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. *
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. *
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. *
Standard Identifier: S-IC.5
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 randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. *
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. *
Showing 1 - 10 of 11 Standards
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