Overview

In this performance assessment, students will write and solve one-step equations using inverse operations involving positive, rational numbers. Specifically, students will create and solve five equations. This assessment provides students with seven different scenarios to demonstrate their understanding of creating and solving single-step equations. Finally, students will create their own scenario, write an equation, and then solve their equation. Lunchroom and recess themes are utilized to engage students. Then, students will reflect on how they solved the problems. 

Students should have had instruction on solving single-step equations and translating verbal descriptions into equations 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 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

Creating Equations for Mathematical Problems

  • Correctly writes equations for fewer than 2 verbal descriptions.
  • Correctly writes equations for 2 verbal descriptions.
  • Correctly writes equations for at least 3 verbal descriptions.

Creating Equations When Given Real-World Verbal Descriptions

  • Correctly writes equations for fewer than 3 real-world verbal descriptions.
  • Correctly writes equations for 3 real- world verbal descriptions.
  • Correctly writes equations for 4 or 5 real-world verbal descriptions.

Solving Single Step Addition or Multiplication Equations

  • Correctly solves fewer than 5 equations.
  • Correctly solves 5 or 6 equations.
  • Correctly solves 7 or 8 equations.

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