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Showing 1 - 10 of 22 Standards

Standard Identifier: A-APR.1

Grade Range: 7–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Algebra I
Conceptual Category: Algebra

Cluster:
Perform arithmetic operations on polynomials. [Linear and 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: 8–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Perform arithmetic operations on polynomials. [Polynomials that simplify to quadratics]

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: G-MG.1

Grade Range: 8–12
Domain: Modeling with Geometry
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Apply geometric concepts in modeling situations.

Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *

Standard Identifier: G-MG.2

Grade Range: 8–12
Domain: Modeling with Geometry
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Apply geometric concepts in modeling situations.

Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *

Standard Identifier: G-MG.3

Grade Range: 8–12
Domain: Modeling with Geometry
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Apply geometric concepts in modeling situations.

Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *

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.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.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.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.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.

Showing 1 - 10 of 22 Standards


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