Skip to main content
California Department of Education Logo

Mathematics Standards




Results


Showing 141 - 150 of 204 Standards

Standard Identifier: 8.G.6

Grade: 8
Domain: Geometry

Cluster:
Understand and apply the Pythagorean Theorem.

Standard:
Explain a proof of the Pythagorean Theorem and its converse.

Standard Identifier: 8.G.7

Grade: 8
Domain: Geometry

Cluster:
Understand and apply the Pythagorean Theorem.

Standard:
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Standard Identifier: 8.G.8

Grade: 8
Domain: Geometry

Cluster:
Understand and apply the Pythagorean Theorem.

Standard:
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Standard Identifier: 8.G.9

Grade: 8
Domain: Geometry

Cluster:
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Standard:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Standard Identifier: A-REI.4.a

Grade Range: 8–12
Domain: Reasoning with Equations and Inequalities
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]

Standard:
Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions. Derive the quadratic formula from this form.

Standard Identifier: A-REI.4.b

Grade Range: 8–12
Domain: Reasoning with Equations and Inequalities
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]

Standard:
Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

Standard Identifier: A-REI.7

Grade Range: 8–12
Domain: Reasoning with Equations and Inequalities
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Solve systems of equations. [Linear-quadratic systems]

Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.

Standard Identifier: A-SSE.1.a

Grade Range: 8–12
Domain: Seeing Structure in Expressions
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Interpret the structure of expressions. [Quadratic and exponential]

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: 8–12
Domain: Seeing Structure in Expressions
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Interpret the structure of expressions. [Quadratic and exponential]

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. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P. *

Standard Identifier: A-SSE.2

Grade Range: 8–12
Domain: Seeing Structure in Expressions
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Interpret the structure of expressions. [Quadratic and exponential]

Standard:
Use the structure of an expression to identify ways to rewrite it. For example, see x^4 – y^4 as (x^2)^2 – (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 – y^2)(x^2 + y^2).

Showing 141 - 150 of 204 Standards


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