Overview

In this performance assessment, students will research the cost of a scooter or a bike. They will calculate the percentage of the cost they already have in their savings as well as how much their family is willing to pay if they cover 40% of the cost. They will then write a sales pitch that will convince their family to buy this item. 

This assessment can be used at any time in grade 7 or 8 as a review OR after students have had instruction on solving percent problems in 6th grade.

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.

Ratios and Proportional Relationships 2

Students can solve problems involving finding the whole, given a part and the percent.

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

Modeling and Using Tools

  • Attempts to use an appropriate representation to model the mathematical concepts or relationships, but the model contains inaccuracies or is incomplete, and/or analyzes and interprets a math model in a limited way.
No exemplars at this time.
  • Uses accurate representations to correctly model the mathematical concepts or relationships, and/or accurately analyzes and interprets a math model.
No exemplars at this time.
  • Uses an accurate and effective representation to clearly model the mathematical concepts or relationships, and/or accurately analyzes and interprets a math model.
No exemplars at this time.

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.   
  • Has a 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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