Mathematics Standards
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Expressions and Equations
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Interpreting Functions
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Measurement and Data
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Reasoning with Equations and Inequalities
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Similarity, Right Triangles, and Trigonometry
Results
Showing 1 - 10 of 13 Standards
Standard Identifier: A-REI.11
Grade Range:
9–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and exponential functions.]
Standard:
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. *
Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and exponential functions.]
Standard:
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. *
Standard Identifier: A-REI.2
Grade Range:
9–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]
Standard:
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]
Standard:
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Standard Identifier: F-IF.4
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. *
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. *
Standard Identifier: F-IF.5
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. *
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. *
Standard Identifier: F-IF.6
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. *
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]
Standard:
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. *
Standard Identifier: F-IF.7.b
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Analyze functions using different representations. [Include rational and radical; focus on using key features to guide selection of appropriate type of model function.]
Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. *
Analyze functions using different representations. [Include rational and radical; focus on using key features to guide selection of appropriate type of model function.]
Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. *
Standard Identifier: F-IF.7.c
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. *
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. *
Standard Identifier: F-IF.7.e
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. *
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. *
Standard Identifier: F-IF.8
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
Standard:
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
Standard:
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Standard Identifier: F-IF.9
Grade Range:
9–12
Domain:
Interpreting Functions
Discipline:
Math III
Conceptual Category:
Functions
Cluster:
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Showing 1 - 10 of 13 Standards
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