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Mathematics Standards




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Showing 1 - 9 of 9 Standards

Standard Identifier: G-GPE.4

Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
Conceptual Category: Geometry

Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]

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).

Standard Identifier: G-GPE.5

Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
Conceptual Category: Geometry

Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]

Standard:
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

Standard Identifier: G-GPE.7

Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
Conceptual Category: Geometry

Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]

Standard:
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *

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. *

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? *

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. *

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. *

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. *

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. *

Questions: Curriculum Frameworks and Instructional Resources Division | CFIRD@cde.ca.gov | 916-319-0881