Mathematics Standards
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Expressing Geometric Properties with Equations
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Functions
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Interpreting Categorical and Quantitative Data
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Making Inferences and Justifying Conclusions
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The Number System
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Showing 1 - 10 of 21 Standards
Standard Identifier: G-GPE.1
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Standard Identifier: G-GPE.2
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a parabola given a focus and directrix.
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a parabola given a focus and directrix.
Standard Identifier: G-GPE.4
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically.
Standard:
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). [Include simple circle theorems.]
Use coordinates to prove simple geometric theorems algebraically.
Standard:
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). [Include simple circle theorems.]
Standard Identifier: G-GPE.6
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically.
Standard:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Use coordinates to prove simple geometric theorems algebraically.
Standard:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Standard Identifier: S-IC.1
Grade Range:
10–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Statistics and Probability
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:
10–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Statistics and Probability
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:
10–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Statistics and Probability
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:
10–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Statistics and Probability
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:
10–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Statistics and Probability
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. *
Standard Identifier: S-IC.6
Grade Range:
10–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
Evaluate reports based on data. *
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
Evaluate reports based on data. *
Showing 1 - 10 of 21 Standards
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