Overview

In this performance assessment, students will graph and interpret inequalities in one variable. Specifically, students will be presented with four questions that require students to graph solutions of inequalities, match solutions with graphs, and to interpret contextual solutions. Students should have had instruction on solving and graphing inequalities before this assessment is used. 

Details

Big Ideas & Competencies

Big Ideas Competencies

B. Operations and Algebraic Thinking

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Solve Inequalities 2

Students can graph the solution set of an inequality and interpret it in the context of the original problem.

NOTE ABOUT ASSESSMENT RUBRICS

Below are analytic teacher rubrics. The column on the left shows the dimension that is being measured in the student’s performance. The levels across the top row indicate the performance level in the dimensions. Occasionally all dimensions and performance levels are exemplified by multiple students in a single recording.

Teacher Rubric

Dimensions Not Yet Meeting Expectations Meeting Expectations Exceeding Expectations

Reasoning and Explaining

  • I can interpret some of the inequalities but my reasoning is incomplete or inaccurate.
No exemplars at this time.
  • I can interpret the solution of inequalities by using some math vocabulary. 
No exemplars at this time.
  • I can interpret the solutions of inequalities by using precise math vocabulary in a way that another person can easily understand my math reasoning. 
No exemplars at this time.

Modeling and Using Tools

  • I can graph a solution of inequalities on a number line by indicating the type of dot/circle at the critical value and draw an arrow/bolded line but is it inaccurate or incomplete. 
No exemplars at this time.
  • I can graph a solution of inequalities on a number line by indicating the type of dot/circle at the critical value and draw an arrow/bolded line that is closely related to the solution. 
No exemplars at this time.
  • I can accurately graph a solution of inequalities on a number line by clearly indicating the type of dot/circle at the critical value and draw an arrow/bolded line in the correct direction. 
No exemplars at this time.

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