Mathematics Standards
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Showing 41 - 50 of 58 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: 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: S-MD.6
Grade Range:
9–12
Domain:
Using Probability to Make Decisions
Discipline:
Algebra II
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.6
Grade Range:
9–12
Domain:
Using Probability to Make Decisions
Discipline:
Math III
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.7
Grade Range:
9–12
Domain:
Using Probability to Make Decisions
Discipline:
Math III
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Standard Identifier: S-MD.7
Grade Range:
9–12
Domain:
Using Probability to Make Decisions
Discipline:
Algebra II
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Showing 41 - 50 of 58 Standards
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