Skip to main content
California Department of Education Logo

Mathematics Standards




Results


Showing 61 - 70 of 77 Standards

Standard Identifier: F-BF.3

Grade Range: 9–12
Domain: Building Functions
Discipline: Algebra II
Conceptual Category: Functions

Cluster:
Build new functions from existing functions. [Include simple radical, rational, and exponential functions; emphasize common effect of each transformation across function types.]

Standard:
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Standard Identifier: F-BF.4.a

Grade Range: 9–12
Domain: Building Functions
Discipline: Algebra II
Conceptual Category: Functions

Cluster:
Build new functions from existing functions. [Include simple radical, rational, and exponential functions; emphasize common effect of each transformation across function types.]

Standard:
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2x^3 or f(x) = (x + 1)/(x − 1) for x ≠ 1.

Standard Identifier: F-BF.4.a

Grade Range: 9–12
Domain: Building Functions
Discipline: Math III
Conceptual Category: Functions

Cluster:
Build new functions from existing functions. [Include simple radical, rational, and exponential functions; emphasize common effect of each transformation across function types.]

Standard:
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2x^3 or f(x) = (x + 1)/(x − 1) for x ≠ 1.

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: 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: S-MD.6

Grade Range: 9–12
Domain: Using Probability to Make Decisions
Discipline: Algebra II
Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]

Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *

Standard Identifier: S-MD.6

Grade Range: 9–12
Domain: Using Probability to Make Decisions
Discipline: Math III
Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]

Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *

Standard Identifier: S-MD.7

Grade Range: 9–12
Domain: Using Probability to Make Decisions
Discipline: Math III
Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]

Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *

Standard Identifier: S-MD.7

Grade Range: 9–12
Domain: Using Probability to Make Decisions
Discipline: Algebra II
Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]

Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *

Standard Identifier: S-MD.1

Grade Range: 10–12
Domain: Using Probability to Make Decisions
Discipline: Statistics and Probability
Conceptual Category: Statistics and Probability

Cluster:
Calculate expected values and use them to solve problems.

Standard:
(+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. *

Showing 61 - 70 of 77 Standards


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