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Showing 11 - 20 of 67 Standards

Standard Identifier: N-RN.2

Grade Range: 7–12
Domain: The Real Number System
Discipline: Algebra I
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: 7–12
Domain: The Real Number System
Discipline: Algebra I
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-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.

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.

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. *

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. *

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.

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

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

Standard Identifier: G-GMD.6

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:
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

Showing 11 - 20 of 67 Standards


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