Mathematics Standards
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Geometric Measurement and Dimension
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Seeing Structure in Expressions
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Statistics and Probability
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The Complex Number System
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Trigonometric Functions
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Using Probability to Make Decisions
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Showing 71 - 80 of 93 Standards
Standard Identifier: F-TF.5
Grade Range:
9–12
Domain:
Trigonometric Functions
Discipline:
Math III
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.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-GMD.4
Grade Range:
9–12
Domain:
Geometric Measurement and Dimension
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
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.
Standard Identifier: N-CN.9
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:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Showing 71 - 80 of 93 Standards
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