Mathematics Standards
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The Real Number System
Results
Showing 71 - 80 of 130 Standards
Standard Identifier: 7.G.1
Grade:
7
Domain:
Geometry
Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Standard Identifier: 7.G.2
Grade:
7
Domain:
Geometry
Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
Standard Identifier: 7.G.3
Grade:
7
Domain:
Geometry
Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Standard Identifier: 7.G.4
Grade:
7
Domain:
Geometry
Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Standard:
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Standard:
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Standard Identifier: 7.G.5
Grade:
7
Domain:
Geometry
Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Standard:
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Standard:
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
Standard Identifier: 7.G.6
Grade:
7
Domain:
Geometry
Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Standard:
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Standard:
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Standard Identifier: N-RN.1
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:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
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.
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.
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: 8.G.1.a
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length.
Showing 71 - 80 of 130 Standards
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