Overview

In this performance assessment, students will be asked to describe methods used to set up and solve inequalities with integer values. Specifically, students will be asked to describe inequalities that have been set up from student samples and to identify possible errors in the way the inequalities have been solved.  

This assessment might best be used after students have learned about two-step solving involving inequalities with addition, subtraction, multiplication and division with rational numbers.  

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 1

Students can solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are rational numbers.

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

Concepts and Procedures

  • I can solve part of the problem, but I am confused in some places and have calculation mistakes. 
No exemplars at this time.
  • I can solve the problem using strategies that make sense with few calculation mistakes. 
No exemplars at this time.
  • I can solve the problem efficiently and accurately without any calculation mistakes. 
No exemplars at this time.

Reasoning and Explaining

  • I can explain some of how I solved the problem. 
No exemplars at this time.
  • I can explain the thinking I used to solve the problem using some math vocabulary. 
No exemplars at this time.
  • I can explain the thinking I used to solve the problems 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 interpret a model and/or create a partial model to represent a real-world math concept or relationship, but it is inaccurate or incomplete. 
No exemplars at this time.
  • I can create and/or interpret a model to represent a real-world math concept or relationship. 
No exemplars at this time.
  • I can accurately create and interpret a model to represent a real-world math concept. 
No exemplars at this time.

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