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Georgia standard · Mathematics

A.PAR.4Linear Inequalities Systems

Create, analyze, and solve linear inequalities in two variables and systems of linear inequalities to model real-life phenomena.

Appears in: Mathematics, High School

For AI assistants this page as Markdown: https://georgiahomeroom.org/standards/code/A.PAR.4.md · index of every standards list: https://georgiahomeroom.org/standards/index.md · MCP https://mcp.georgiahomeroom.org/mcp

Expectations

  • A.PAR.4.1

    Create and solve linear inequalities in two variables to represent relationships between quantities including mathematically applicable situations; graph inequalities on coordinate axes with labels and scales.

  • A.PAR.4.2

    Represent constraints of linear inequalities and interpret data points as possible or not possible.

  • A.PAR.4.3

    Solve systems of linear inequalities by graphing, including systems representing a mathematically applicable situation.

Georgia Milestones coverage

  • Algebra I (EOC) · Patterning & Algebraic Reasoning

    Create, analyze, and solve linear inequalities in two variables and systems of linear inequalities to model real-life phenomena.

    about 12% of the test · 7 points

What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning
Identify a data point as a solution to a linear inequality in two variables.
Developing
Identify the graph of a solution set to a linear inequality in two variables in relevant situations. Identify the solution to a system of linear inequalities by graphing in relevant situations.
Proficient
Create the graph of a solution set to a linear inequality in two variables. Create linear inequalities in two variables to represent real-life situations. Identify the solution set for a linear inequality based on the context. Create a graph to solve a system of linear inequalities, and create systems of linear inequalities in two variables to represent real-life situations.
Distinguished
Solve real-life problems involving inequalities in two variables by graphing and describe the solutions in context.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.