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Showing 31 - 40 of 59 Standards

Standard Identifier: S-MD.6

Grade Range: 8–12
Domain: Using Probability to Make Decisions
Discipline: Geometry
Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]

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

Standard Identifier: S-MD.7

Grade Range: 8–12
Domain: Using Probability to Make Decisions
Discipline: Geometry
Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]

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: 8–12
Domain: Using Probability to Make Decisions
Discipline: Math II
Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]

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: A-APR.1

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Perform arithmetic operations on polynomials. [Beyond quadratic]

Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Standard Identifier: A-APR.1

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Algebra II
Conceptual Category: Algebra

Cluster:
Perform arithmetic operations on polynomials. [Beyond quadratic]

Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Standard Identifier: A-APR.2

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Algebra II
Conceptual Category: Algebra

Cluster:
Understand the relationship between zeros and factors of polynomials.

Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

Standard Identifier: A-APR.2

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Understand the relationship between zeros and factors of polynomials.

Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

Standard Identifier: A-APR.3

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Math III
Conceptual Category: Algebra

Cluster:
Understand the relationship between zeros and factors of polynomials.

Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

Standard Identifier: A-APR.3

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Algebra II
Conceptual Category: Algebra

Cluster:
Understand the relationship between zeros and factors of polynomials.

Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

Standard Identifier: A-APR.4

Grade Range: 9–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Algebra II
Conceptual Category: Algebra

Cluster:
Use polynomial identities to solve problems.

Standard:
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)2= (x^2 – y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples.

Showing 31 - 40 of 59 Standards


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