Mathematics Standards
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Showing 31 - 40 of 61 Standards
Standard Identifier: N-RN.1
Grade Range:
8–12
Domain:
The Real Number System
Discipline:
Math II
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:
8–12
Domain:
The Real Number System
Discipline:
Math II
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:
8–12
Domain:
The Real Number System
Discipline:
Math II
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: A-SSE.1.a
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *
Standard Identifier: A-SSE.1.a
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *
Standard Identifier: A-SSE.1.b
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. *
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. *
Standard Identifier: A-SSE.1.b
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P. *
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P. *
Standard Identifier: A-SSE.2
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Use the structure of an expression to identify ways to rewrite it.
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Use the structure of an expression to identify ways to rewrite it.
Standard Identifier: A-SSE.2
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Use the structure of an expression to identify ways to rewrite it.
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Use the structure of an expression to identify ways to rewrite it.
Standard Identifier: A-SSE.4
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Write expressions in equivalent forms to solve problems.
Standard:
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.*
Write expressions in equivalent forms to solve problems.
Standard:
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.*
Showing 31 - 40 of 61 Standards
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