Mathematics Standards
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Showing 101 - 110 of 117 Standards
Standard Identifier: G-MG.1
Grade Range:
9–12
Domain:
Modeling with Geometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *
Apply geometric concepts in modeling situations.
Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *
Standard Identifier: G-MG.2
Grade Range:
9–12
Domain:
Modeling with Geometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *
Apply geometric concepts in modeling situations.
Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *
Standard Identifier: G-MG.3
Grade Range:
9–12
Domain:
Modeling with Geometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *
Apply geometric concepts in modeling situations.
Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *
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.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.
Standard Identifier: S-IC.1
Grade Range:
9–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Math III
Conceptual Category:
Statistics and Probability
Cluster:
Understand and evaluate random processes underlying statistical experiments.
Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *
Understand and evaluate random processes underlying statistical experiments.
Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *
Standard Identifier: S-IC.2
Grade Range:
9–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Math III
Conceptual Category:
Statistics and Probability
Cluster:
Understand and evaluate random processes underlying statistical experiments.
Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *
Understand and evaluate random processes underlying statistical experiments.
Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *
Showing 101 - 110 of 117 Standards
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