Mathematics Standards
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Arithmetic with Polynomials and Rational Expressions
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Counting and Cardinality
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Linear, Quadratic, and Exponential Models
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Making Inferences and Justifying Conclusions
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Modeling with Geometry
Results
Showing 41 - 50 of 72 Standards
Standard Identifier: A-APR.6
Grade Range:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Rewrite rational expressions. [Linear and quadratic denominators]
Standard:
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
Rewrite rational expressions. [Linear and quadratic denominators]
Standard:
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
Standard Identifier: A-APR.7
Grade Range:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Rewrite rational expressions. [Linear and quadratic denominators]
Standard:
(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Rewrite rational expressions. [Linear and quadratic denominators]
Standard:
(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Standard Identifier: A-APR.7
Grade Range:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Rewrite rational expressions. [Linear and quadratic denominators]
Standard:
(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Rewrite rational expressions. [Linear and quadratic denominators]
Standard:
(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Standard Identifier: F-LE.4
Grade Range:
9–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. * [Logarithms as solutions for exponentials]
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. * [Logarithms as solutions for exponentials]
Standard Identifier: F-LE.4
Grade Range:
9–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Algebra II
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. * [Logarithms as solutions for exponentials]
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. * [Logarithms as solutions for exponentials]
Standard Identifier: F-LE.4.1
Grade Range:
9–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Algebra II
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Prove simple laws of logarithms. CA *
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Prove simple laws of logarithms. CA *
Standard Identifier: F-LE.4.1
Grade Range:
9–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Prove simple laws of logarithms. CA *
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Prove simple laws of logarithms. CA *
Standard Identifier: F-LE.4.2
Grade Range:
9–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Use the definition of logarithms to translate between logarithms in any base. CA *
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Use the definition of logarithms to translate between logarithms in any base. CA *
Standard Identifier: F-LE.4.2
Grade Range:
9–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Algebra II
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Use the definition of logarithms to translate between logarithms in any base. CA *
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Use the definition of logarithms to translate between logarithms in any base. CA *
Standard Identifier: F-LE.4.3
Grade Range:
9–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Algebra II
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values. CA *
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values. CA *
Showing 41 - 50 of 72 Standards
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