Mathematics Standards
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Ratios and Proportional Relationships
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Similarity, Right Triangles, and Trigonometry
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Statistics and Probability
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The Real Number System
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Using Probability to Make Decisions
Results
Showing 61 - 70 of 83 Standards
Standard Identifier: G-SRT.9
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
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-RN.1
Grade Range:
8–12
Domain:
The Real Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Standard Identifier: N-RN.2
Grade Range:
8–12
Domain:
The Real Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Standard Identifier: N-RN.3
Grade Range:
8–12
Domain:
The Real Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Standard Identifier: S-MD.6
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.6
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Math II
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.7
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Math II
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
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. [Introductory; apply counting rules.]
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:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
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. [Introductory; apply counting rules.]
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: 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).
Showing 61 - 70 of 83 Standards
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