Mathematics Standards
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Building Functions
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Operations and Algebraic Thinking
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Quantities
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Seeing Structure in Expressions
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The Real Number System
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Showing 51 - 60 of 88 Standards
Standard Identifier: F-BF.3
Grade Range:
7–12
Domain:
Building Functions
Discipline:
Algebra I
Conceptual Category:
Functions
Cluster:
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
Standard:
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
Standard:
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Standard Identifier: F-BF.4.a
Grade Range:
7–12
Domain:
Building Functions
Discipline:
Algebra I
Conceptual Category:
Functions
Cluster:
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
Standard:
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
Standard:
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.
Standard Identifier: N-Q.1
Grade Range:
7–12
Domain:
Quantities
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.*
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.*
Standard Identifier: N-Q.1
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. *
Standard Identifier: N-Q.2
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling. *
Standard Identifier: N-Q.2
Grade Range:
7–12
Domain:
Quantities
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling.*
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling.*
Standard Identifier: N-Q.3
Grade Range:
7–12
Domain:
Quantities
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*
Standard Identifier: N-Q.3
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *
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.
Showing 51 - 60 of 88 Standards
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