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Standard - 2.8.A2.E

Use combinations of symbols and numbers to create expressions, equations, and inequalities in two or more variables, systems of equations and inequalities, and functional relationships that model problem situations.

Eligible Content:
4 Total

Materials & Resources

Assessment Anchor - A2.2.2
Applications of Functions
- Anchor Descriptor - A2.2.2.1 Create, interpret and/or use polynomial, exponential and/or logarithmic functions and their equations, graphs or tables.
  - 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.
  - 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 = x²and y = 3x²).
    
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Assessment Anchor - A2.1.3
Non-Linear Equations
- Anchor Descriptor - A2.1.3.1 Write and/or solve non-linear equations using various methods.
  - 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.
  - 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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