Mathematics Standards
Results
Showing 1 - 10 of 12 Standards
Standard Identifier: F-LE.3
Grade Range:
8–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]
Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]
Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *
Standard Identifier: F-LE.6
Grade Range:
8–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Interpret expressions for functions in terms of the situation they model.
Standard:
Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *
Interpret expressions for functions in terms of the situation they model.
Standard:
Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *
Standard Identifier: F-TF.8
Grade Range:
8–12
Domain:
Trigonometric Functions
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
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.4.2
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 *
Standard Identifier: F-TF.1
Grade Range:
9–12
Domain:
Trigonometric Functions
Discipline:
Algebra II
Conceptual Category:
Functions
Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
Extend the domain of trigonometric functions using the unit circle.
Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
Standard Identifier: F-TF.2
Grade Range:
9–12
Domain:
Trigonometric Functions
Discipline:
Algebra II
Conceptual Category:
Functions
Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
Extend the domain of trigonometric functions using the unit circle.
Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
Standard Identifier: F-TF.2.1
Grade Range:
9–12
Domain:
Trigonometric Functions
Discipline:
Algebra II
Conceptual Category:
Functions
Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Graph all 6 basic trigonometric functions. CA
Extend the domain of trigonometric functions using the unit circle.
Standard:
Graph all 6 basic trigonometric functions. CA
Showing 1 - 10 of 12 Standards
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