Overview

In this performance assessment, students will apply appropriate addition and subtraction strategies and/or algorithms to help a classroom determine possible options for a classroom activity based on points generated over a five-week period.   

Specifically, students will first be asked to total the five weekly class points found in the assessment story problem, using a strategy or algorithm and show their work in the Student Booklet or on a piece of paper. Second, once the points are totaled, the student will need to write their recommendation(s) for how to best use the accumulated classroom points, referencing the assessment story problem chart, while responding in writing as to why they selected those recommendation(s).  

This performance assessment might best used after students have been taught the knowledge, vocabulary and skills of core addition and subtraction strategies, and/or algorithms. Once taught, supportive classroom practice opportunities will need to be provided prior to the administration of this assessment. 

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.

Fluently Add and Subtract 1

Students can fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

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.

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.

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.
  • Selects tools and applies with partial accuracy.
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.
  • Uses an appropriate tool to solve a problem.
No exemplars at this time.
  • Uses and accurate and effective representation to clearly model the mathematical concepts or relationships, and/or accurately analyzes and interprets a math model.
  • Uses an appropriate tool to solve a problem and can justify the tool selection.
No exemplars at this time.

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