Mathematics Standards
Results
Showing 41 - 50 of 78 Standards
Standard Identifier: 8.G.8
Grade:
8
Domain:
Geometry
Cluster:
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Standard Identifier: 8.G.9
Grade:
8
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Standard:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Standard:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Standard Identifier: F-TF.8
Grade Range:
8–12
Domain:
Trigonometric Functions
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
Standard Identifier: G-GMD.1
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Standard Identifier: G-GMD.1
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Standard Identifier: G-GMD.3
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Standard Identifier: G-GMD.3
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Standard Identifier: G-GMD.4
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Standard Identifier: G-GMD.5
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Standard Identifier: G-GMD.5
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Showing 41 - 50 of 78 Standards
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