Overview

In this performance assessment, students will demonstrate their understanding of the meaning of, as well as how and when to use the four operations to write and solve a multi-step story problem by creating an escape-room, multi-step story problem puzzle.

Specifically, students will be asked to write and solve a multi-step story problem with a whole number answer using any of the four operations. The story problem will require at least two steps. Students will choose (or be assigned) a theme for their escape room problems.

This type of problem is a great way to incorporate science, social studies, and/or language arts topics into your mathematics curriculum. Allow students to come up with or choose a topic related to something you’re studying (or have previously studied) in science or social studies. Alternatively, students could choose to research a topic of their own interest. If this is not appropriate for the time you have or for your classroom set up, you can also allow students to make up the data/numbers they are using for their story problems.

This assessment can be used at any time during the year so long as the necessary mathematics skills have been learned (whole number operations). Additionally, it would make sense to pair this task with a curricular topic that students could research to gather data for the problems they create.

Students should have demonstrated proficiency with adding and subtracting two numbers with a sum or difference to the thousands place. Students should also have demonstrated proficiency with 1-digit by 4-digit multiplication and/or 2- digit by 2-digit multiplication and 4-digit by 1-digit division. Students should have had multiple opportunities to solve multi-step problems.

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 Word Problems with Whole Numbers 1

Students can represent and solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.

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 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.

Demonstrates Understanding of the Meaning of Operations

  • One or more of the story problems has only 1 step, does not have enough information to be solved, or requires skills that fourth graders are not expected to have to solve it.
No exemplars at this time.
  • Both problems are simple two-step story problems that are straight forward and require skills that fourth graders are expected to have. Some of the skills may be below grade-level.
No exemplars at this time.
  • Both problems are rich two-step story problems and one or more requires some deeper level thinking or analysis and require some skills that fourth graders have, but that third graders are not yet expected to have.
No exemplars at this time.

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