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Showing 531 - 540 of 664 Standards
Standard Identifier: G-GMD.6
Grade Range:
8–12
Content Area:
Mathematics
Category:
Geometric Measurement and Dimension
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA
Standard Identifier: G-GMD.6
Grade Range:
8–12
Content Area:
Mathematics
Category:
Geometric Measurement and Dimension
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA
Standard Identifier: G-GPE.5
Grade Range:
8–12
Content Area:
Mathematics
Category:
Expressing Geometric Properties with Equations
Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Standard Identifier: G-MG.3
Grade Range:
8–12
Content Area:
Mathematics
Category:
Modeling with 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:
8–12
Content Area:
Mathematics
Category:
Similarity, Right Triangles, and Trigonometry
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.5
Grade Range:
8–12
Content Area:
Mathematics
Category:
Similarity, Right Triangles, and Trigonometry
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.5
Grade Range:
8–12
Content Area:
Mathematics
Category:
Similarity, Right Triangles, and Trigonometry
Cluster:
Prove theorems involving similarity. [Focus on validity of underlying reasoning while using variety of formats.]
Standard:
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Prove theorems involving similarity. [Focus on validity of underlying reasoning while using variety of formats.]
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
Content Area:
Mathematics
Category:
Similarity, Right Triangles, and Trigonometry
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.6
Grade Range:
8–12
Content Area:
Mathematics
Category:
Similarity, Right Triangles, and Trigonometry
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
Content Area:
Mathematics
Category:
Similarity, Right Triangles, and Trigonometry
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.
Showing 531 - 540 of 664 Standards
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