Mathematics Standards
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Expressing Geometric Properties with Equations
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Expressions and Equations
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Linear, Quadratic, and Exponential Models
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Similarity, Right Triangles, and Trigonometry
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Trigonometric Functions
Results
Showing 1 - 10 of 10 Standards
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
Standard Identifier: F-TF.5
Grade Range:
9–12
Domain:
Trigonometric Functions
Discipline:
Algebra II
Conceptual Category:
Functions
Cluster:
Model periodic phenomena with trigonometric functions.
Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *
Model periodic phenomena with trigonometric functions.
Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *
Standard Identifier: F-TF.8
Grade Range:
9–12
Domain:
Trigonometric Functions
Discipline:
Algebra 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: 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
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
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