Mathematics Standards
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Showing 41 - 50 of 64 Standards
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-SRT.10
Grade Range:
9–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
Apply trigonometry to general triangles.
Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
Standard Identifier: G-SRT.11
Grade Range:
9–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
Apply trigonometry to general triangles.
Standard:
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
Standard Identifier: G-SRT.9
Grade Range:
9–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
Apply trigonometry to general triangles.
Standard:
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
Standard Identifier: N-CN.1
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers.
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Perform arithmetic operations with complex numbers.
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Standard Identifier: N-CN.2
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers.
Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Perform arithmetic operations with complex numbers.
Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Standard Identifier: N-CN.7
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Standard Identifier: N-CN.8
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Standard Identifier: N-CN.8
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Math III
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Extend polynomial identities to the complex numbers.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Extend polynomial identities to the complex numbers.
Showing 41 - 50 of 64 Standards
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