Skip to main content
California Department of Education Logo

Mathematics Standards




Results


Showing 21 - 30 of 43 Standards

Standard Identifier: G-GPE.6

Grade Range: 8–12
Domain: Expressing Geometric Properties with Equations
Discipline: Geometry
Conceptual Category: Geometry

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

Standard:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

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.

Standard Identifier: G-GPE.7

Grade Range: 8–12
Domain: Expressing Geometric Properties with Equations
Discipline: Geometry
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: G-GPE.3.1

Grade Range: 9–12
Domain: Expressing Geometric Properties with Equations
Discipline: Algebra II
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA

Standard Identifier: G-GPE.3.1

Grade Range: 9–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math III
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA

Standard Identifier: S-IC.1

Grade Range: 9–12
Domain: Making Inferences and Justifying Conclusions
Discipline: Math III
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.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.2

Grade Range: 9–12
Domain: Making Inferences and Justifying Conclusions
Discipline: Math III
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: Math III
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. *

Showing 21 - 30 of 43 Standards


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