Mathematics Standards
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The Real Number System
Results
Showing 41 - 50 of 96 Standards
Standard Identifier: 7.RP.2.c
Grade:
7
Domain:
Ratios and Proportional Relationships
Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Recognize and represent proportional relationships between quantities. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Recognize and represent proportional relationships between quantities. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
Standard Identifier: 7.RP.2.d
Grade:
7
Domain:
Ratios and Proportional Relationships
Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Recognize and represent proportional relationships between quantities. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Recognize and represent proportional relationships between quantities. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Standard Identifier: 7.RP.3
Grade:
7
Domain:
Ratios and Proportional Relationships
Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
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.
Standard Identifier: 8.G.1.b
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: Angles are taken to angles of the same measure.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Angles are taken to angles of the same measure.
Standard Identifier: 8.G.1.c
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: Parallel lines are taken to parallel lines.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Parallel lines are taken to parallel lines.
Standard Identifier: 8.G.2
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Showing 41 - 50 of 96 Standards
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