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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.C.4
Interpret the effects transformations have on functions and find the inverses of functions.
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Assessment Anchor - A1.2.1
Functions
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Anchor Descriptor - A1.2.1.1 Analyze and/or use patterns or relations.
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Eligible Content - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
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Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.
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Eligible Content - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
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Anchor Descriptor - A1.2.1.2 Interpret and/or use linear functions and their equations, graphs or tables.
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Eligible Content - A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.
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Eligible Content - A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).
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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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