Overview

In this performance assessment, students will be asked to use what they know about place value, reading tables, numbers written in various forms, addition within 100, and mathematical reasoning. They will be asked draw conclusions and recognize patterns based on their solutions. 

Specifically, students will be asked to use survey data about their own class’s food preferences and add it to pre-existing data from the rest of the second-grade. They will make comparisons about the data and ultimately recommend a food for the cafeteria to serve for a special occasion. 

The performance task is best administered after a unit of addition that includes: 

  • Reading numbers in mixed forms 
  • Solving problems by adding and subtracting within 100 

Students should have been exposed to reading a table including numbers in various forms through teacher modeling. They should have been explicitly taught and given feedback on using mathematical reasoning skills to recommend and justify a solution to a problem. 

This assessment will begin with the whole group together to collect data about your class’s favorite lunch option. After this part, students will work with a partner to ensure they understand the task and then complete the task independently. 

This assessment could be altered to contain real data from your grade-level (assuming there are less than 100 students in the data set) or building. Students could take a more active role in developing the survey question and up to four choices for students from other classes to vote on. 

The student instructions including student-friendly rubric should be reviewed with students and clarifying questions answered to ensure the students understand what they are being asked to do and understand all vocabulary and concepts used before they begin the performance task. Teachers should take the task themselves prior to administering it to students. 

Details

Big Ideas & Competencies

Big Ideas Competencies

A. Understanding and Applying Number Systems

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Counting 2

Students can read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

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.

Modeling Addition and Subtraction 1

Students use a variety of models to represent and solve problems involving addition and subtraction within 100, including on a number line diagram.

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/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 and 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/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. 
  • ​Insert text from appropriate rubric​. 
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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