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Subject Area - CC.2:
Mathematics
Mathematics
- Standard Area - CC.2.2: Algebraic Concepts
- Grade Level - CC.2.2.8: GRADE 8
Standard - CC.2.2.8.C.2
Use concepts of functions to model relationships between quantities.
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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).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).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).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 - A1.2.1
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.Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.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.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 - A1.2.2
Coordinate Geometry
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Anchor Descriptor - A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.
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Eligible Content - A1.2.2.1.1 Identify, describe and/or use constant rates of change.Eligible Content - A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.Eligible Content - A1.2.2.1.3
Write or identify a linear equation when given
- the graph of the line
- 2 points on the line, or
- the slope and a point on a line,
(Linear equation may be in point-slope, standard and/or slope-intercept form).
Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.-
Anchor Descriptor - A1.2.2.2 Analyze and/or interpret data on a scatter plot.
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Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
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Assessment Anchor - M08.B-F.2 Use functions to model relationships between quantities.
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Anchor Descriptor - M08.B-F.2.1 Represent or interpret functional relationships between quantities using tables, graphs, and descriptions.
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Eligible Content - M08.B-F.2.1.1 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models and in terms of its graph or a table of values.
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Alternate Eligible Content - M08.B-F.2.1.1a Determine the missing value in a graph showing a real-world linear relationship.
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.
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Eligible Content - M08.B-F.2.1.2 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch or determine a graph that exhibits the qualitative features of a function that has been described verbally.
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Alternate Eligible Content - M08.B-F.2.1.2a Describe the relationship between two variables with a linear relationship displayed in graph form.
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.
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