Overview

In this performance assessment, students will solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. Specifically, students will be asked to solve three problems by translating a real-world problem into a mathematical problem and finding the solution for a variable, given a variety of nonnegative rational numbers.  

This assessment would best be used after instruction on rational numbers, order of operations, and evaluating expressions. 

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 Linear Equations 1

Students can solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative 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.

Modeling and Using Tools

  • 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 problem using precise math vocabulary in a way that another person can easily understand my math reasoning. 
No exemplars at this time.

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