Overview

In this performance assessment, students will evaluate expressions given specific values for the variables including expressions that arise from formulas used in real-world problems and those involving whole number exponents. Specifically, students will be asked to solve three problems given the formula and the values for the variables in the formula.  The problems will include a variety of rational numbers and the exponents will be whole numbers. 

This assessment would best be used after instruction on rational numbers, whole number exponents and evaluating expressions.  

Download Teacher Booklet Download Student Booklet

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.

Compute with Rational Numbers 2

Students can evaluate expressions at specific values of their variables including expressions that arise from formulas used in real-world problems and those involving whole number exponents.

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
  • Applies some appropriate mathematical processes and/or strategies demonstrating partial understanding of the required concepts and procedures.
  • A basic or partially correct approach is used to solve the problem, but provides insufficient evidence of the ability to carry out the necessary procedures.
  • Calculation errors are present.
  • Solutions may be incomplete, failing to address some of the mathematical components presented in the task.
  • Applies appropriate mathematical processes and strategies demonstrating complete understanding of the required concepts and procedures.
  • Uses a logical approach to solve the problem.
  • Few and minor calculation errors, if any.
  • Solutions are complete and address all mathematical components presented in the task.
  • Applies appropriate mathematical processes and strategies demonstrating sophisticated understanding of the required concepts and procedures.
  • Uses the most efficient approach to solve the problem.
  • No calculation errors.
  • Solutions completely address all mathematical components presented in the task and demonstrate advanced mathematical fluency, if applicable.
No exemplars at this time.

Reasoning and Explaining
  • Attempts to explain the solution(s) to the task and may provide an incomplete justification for the conclusion(s).
  • Uses some, but limited, mathematical terminology and/or notation.
  • Appropriately explains the solution(s) so that the reader does not have to infer how the task was completed.
  • Justifies the conclusion(s) appropriately at multiple decision points.
  • Uses accurate and appropriate mathematical terminology and notation.
No exemplars at this time.
  • Clearly and effectively communicates the solution(s) to convey advanced conceptual understanding of the mathematical content.
  • Justifies the conclusion(s) effectively at multiple decision points and may evaluate the efficiency or adequacy of differing approaches.
  • Uses precise and sophisticated mathematical terminology and notation.
No exemplars at this time.

Leave Feedback for this Assessment

What did you like? Did you need to revise anything? How could we make this assessment better? Our Assessments are written by teachers for you, so your feedback is important to us!

Comments about items may be moderated and/or reposted to aid item improvement and teacher learning. By leaving a comment, you agree that we can use your comment without attributing it to you.

You must be logged in to leave feedback.

Don't have an account? Register Here

Log in