Overview

In the first part of this performance assessment, students will use the context of cereal boxes to apply their knowledge and skills related to operations and algebraic thinking to solve problems. Specifically, students will be asked to apply volume formulas to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.  

Students will use their understanding of each of these competencies to solve these problems and explain their methodology/process for finding their solutions. This assessment should be used after instruction on the following competencies in grade 6: 

  • Students can apply volume formulas to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. 
  • Students can solve real-world and mathematical problems using the nets to find the surface area of three-dimensional figures. 
  • Students can fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 

This assessment can also be used as a review of these topics in Grade 7.  

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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 Measurement Problems 1

Students can apply volume formulas to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

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.
No exemplars at this time.
  • Applies appropriate mathematical processes and strategies demonstrating complete understanding of the required concepts and procedures.
  • Uses a logical approach to solve the problem.
  • Few minor calculation errors, if any.
  • Solutions are complete and address all mathematical components presented in the task.
No exemplars at this time.
  • 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.
No exemplars at this time.
  • 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.

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