CA Content Standards (CA Dept of Education)

Mathematics Standards

Domain

Expressing Geometric Properties with Equations Functions Making Inferences and Justifying Conclusions The Real Number System Trigonometric Functions

Discipline

Conceptual Category

Minimum Grade

Maximum Grade

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Additional information about the Standards below:

* Indicates a modeling standard linking mathematics to everyday life, work, and decision-making.
(+) Indicates additional mathematics to prepare students for advanced courses.
Some standards are repeated in multiple higher mathematics courses; therefore instructional notes, which appear in brackets, indicate what is appropriate for study in this particular course.
Standards with California additions appear with a "CA" notation at the end.
Standards for Mathematical Practice
These Standards were approved by the CA State Board of Education in 2010, and updated in 2013.

Results

Showing 21 - 30 of 54 Standards

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: N-RN.1

Grade Range: 8–12

Domain: The Real Number System

Discipline: Math II

Conceptual Category: Number and Quantity

Cluster:
Extend the properties of exponents to rational exponents.

Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.

Standard Identifier: N-RN.2

Grade Range: 8–12

Domain: The Real Number System

Discipline: Math II

Conceptual Category: Number and Quantity

Cluster:
Extend the properties of exponents to rational exponents.

Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Standard Identifier: N-RN.3

Grade Range: 8–12

Domain: The Real Number System

Discipline: Math II

Conceptual Category: Number and Quantity

Cluster:
Use properties of rational and irrational numbers.

Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.