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Subject Area - CC.2:
Mathematics
Mathematics
- Standard Area - CC.2.2: Algebraic Concepts
- Grade Level - CC.2.2.HS: GRADE High School
Standard - CC.2.2.HS.D.7
Create and graph equations or inequalities to describe numbers or relationships.
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Assessment Anchor - A1.1.2
Linear Equations
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Anchor Descriptor - A1.1.2.1 Write, solve and/or graph linear equations and inequalities using various methods.
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Eligible Content - A1.1.2.1.1 Write, solve and/or apply a linear equation (including problem situations).
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Eligible Content - A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation solving process (linear equations only).
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Eligible Content - A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation (linear equations only).
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Anchor Descriptor - A1.1.2.2 Write, solve and/or graph systems of linear equations using various methods.
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Eligible Content - A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution and/or elimination (limit systems to 2 linear equations).
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Eligible Content - A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear equations only).
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Assessment Anchor - A1.1.3
Linear Inequalities
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Anchor Descriptor - A1.1.3.1 Write, solve and/or graph linear inequalities using various methods.
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Eligible Content - A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
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Eligible Content - A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
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Eligible Content - A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation (limit to linear inequalities).
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Anchor Descriptor - A1.1.3.2 Write, solve and/or graph systems of linear inequalities using various methods.
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Eligible Content - A1.1.3.2.1 Write and/or solve a system of linear inequalities using graphing (limit systems to 2 linear inequalities).
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Eligible Content - A1.1.3.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear inequalities only).
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Assessment Anchor - A2.2.2
Applications of Functions
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Anchor Descriptor - A2.2.2.1 Create, interpret and/or use polynomial, exponential and/or logarithmic functions and their equations, graphs or tables.
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Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
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Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
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Eligible Content - A2.2.2.1.3
Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.
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Eligible Content - A2.2.2.1.4
Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).
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Anchor Descriptor - A2.2.2.2 Describe and/or determine families of functions.
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Eligible Content - A2.2.2.2.1
Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).
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Assessment Anchor - A2.1.3
Non-Linear Equations
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Anchor Descriptor - A2.1.3.1 Write and/or solve non-linear equations using various methods.
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Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
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Eligible Content - A2.1.3.1.2
Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).
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Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
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Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
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Anchor Descriptor - A2.1.3.2 Describe and/or determine change.
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Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
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Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
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Alternate Eligible Content - CC.2.2.HS.D.7.a Translate a real-world problem into a one-variable equation.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
