Mathematics Standards
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Showing 21 - 30 of 37 Standards
Standard Identifier: G-SRT.5
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Prove theorems involving similarity.
Standard:
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Prove theorems involving similarity.
Standard:
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Standard Identifier: G-SRT.6
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Standard Identifier: G-SRT.7
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Explain and use the relationship between the sine and cosine of complementary angles.
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Explain and use the relationship between the sine and cosine of complementary angles.
Standard Identifier: G-SRT.8
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *
Standard Identifier: G-SRT.8.1
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA
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: F-IF.4
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. *
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. *
Standard Identifier: F-IF.5
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. *
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. *
Standard Identifier: F-IF.6
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. *
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. *
Standard Identifier: F-IF.7.b
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Analyze functions using different representations. [Include rational and radical; focus on using key features to guide selection of appropriate type of model function.]
Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. *
Analyze functions using different representations. [Include rational and radical; focus on using key features to guide selection of appropriate type of model function.]
Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. *
Showing 21 - 30 of 37 Standards
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