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Mathematics Standards




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Showing 11 - 20 of 22 Standards

Standard Identifier: G-CO.7

Grade Range: 7–12
Domain: Congruence
Discipline: Math I
Conceptual Category: Geometry

Cluster:
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]

Standard:
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

Standard Identifier: G-CO.8

Grade Range: 7–12
Domain: Congruence
Discipline: Math I
Conceptual Category: Geometry

Cluster:
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]

Standard:
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

Standard Identifier: A-SSE.1.a

Grade Range: 9–12
Domain: Seeing Structure in Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Interpret the structure of expressions. [Polynomial and rational]

Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *

Standard Identifier: A-SSE.1.b

Grade Range: 9–12
Domain: Seeing Structure in Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Interpret the structure of expressions. [Polynomial and rational]

Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. *

Standard Identifier: A-SSE.2

Grade Range: 9–12
Domain: Seeing Structure in Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Interpret the structure of expressions. [Polynomial and rational]

Standard:
Use the structure of an expression to identify ways to rewrite it.

Standard Identifier: A-SSE.4

Grade Range: 9–12
Domain: Seeing Structure in Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Write expressions in equivalent forms to solve problems.

Standard:
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.*

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.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. *

Standard Identifier: S-IC.4

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:
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 22 Standards


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