Mathematics Standards
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Showing 11 - 20 of 20 Standards
Standard Identifier: G-SRT.2
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
Understand similarity in terms of similarity transformations.
Standard:
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
Standard Identifier: G-SRT.3
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Use the properties of similarity transformations to establish the Angle-Angle (AA) criterion for two triangles to be similar.
Understand similarity in terms of similarity transformations.
Standard:
Use the properties of similarity transformations to establish the Angle-Angle (AA) criterion for two triangles to be similar.
Standard Identifier: G-SRT.4
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Prove theorems involving similarity.
Standard:
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally and conversely; the Pythagorean Theorem proved using triangle similarity.
Prove theorems involving similarity.
Standard:
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally and conversely; the Pythagorean Theorem proved using triangle similarity.
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: 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
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
Showing 11 - 20 of 20 Standards
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