Overview

In this performance assessment, students will recognize and represent proportional relationships between quantities using graphs, tables, and equations.  

Specifically, students will be asked to complete a table, graph the data from the table, and write an equation to represent the relationship between the number of lemons and the cups of lemonade at a lemonade stand.  

Students can show their work in the workspace provided in the student booklet.  Printed booklets are suggested to evaluate student work.  If the assessment task is done digitally, students should be familiar with showing their mathematical processes digitally.  
This assessment would best be used after instruction of proportional relationships in tables, graphs, and equations.

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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.

Ratios and Proportional Relationships 2

Students can recognize and represent proportional relationships between quantities using graphs, tables and equations.

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. 
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. 
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. 
No exemplars at this time.

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.

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