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Showing 61 - 70 of 80 Standards

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.

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.

Standard Identifier: G-GPE.3.1

Grade Range: 9–12
Domain: Expressing Geometric Properties with Equations
Discipline: Algebra II
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA

Standard Identifier: G-GPE.3.1

Grade Range: 9–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math III
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA

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.

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).

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.

Standard Identifier: S-ID.4

Grade Range: 9–12
Domain: Interpreting Categorical and Quantitative Data
Discipline: Math III
Conceptual Category: Statistics and Probability

Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.

Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *

Standard Identifier: S-ID.4

Grade Range: 9–12
Domain: Interpreting Categorical and Quantitative Data
Discipline: Algebra II
Conceptual Category: Statistics and Probability

Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.

Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *

Standard Identifier: S-ID.1

Grade Range: 10–12
Domain: Interpreting Categorical and Quantitative Data
Discipline: Statistics and Probability
Conceptual Category: Statistics and Probability

Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.

Standard:
Represent data with plots on the real number line (dot plots, histograms, and box plots). *

Showing 61 - 70 of 80 Standards


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