Overview

In this performance assessment, students will be asked to select a correct response, from two choices, for four evaluate-the-expression problems. Students will then explain, in writing, why it is important to use the correct order of operations to solve numerical expressions.

Specifically, students will be asked to evaluate four numerical-expressions and show their work. Once they have identified the correct solution, they will write an explanation about why following the order of operations is uniquely important to the identified profession.

This assessment might best be administered after students have been taught the mathematical concepts, skills and strategies necessary to successfully evaluate expression using the order of operations. It will be important for students to have multiple experiences. Additionally, students should also have classroom opportunities for explaining their work and having it scored with a rubric for feedback purposes.

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.

Notation 1

Students can use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Notation 2

Students can use whole-number exponents to denote powers of 10.

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

  • I can attempt to solve the order of operations problems, but I make multiple calculation errors or demonstrate that I am not following the order of operations.
No exemplars at this time.
  • I can solve the order of operations problems with 1 or 2 minor calculation errors.
No exemplars at this time.
  • I can solve 1 or 2 order of operations problems without calculation errors.
No exemplars at this time.

Reasoning and Explaining

  • I can attempt to explain why it’s important for different professionals to follow the order of operations, but multiple answers don’t make sense, or they aren’t specific to the profession (they’re all the same or general.
No exemplars at this time.
  • I can explain why it’s important for specific professionals to follow the order of operations (e.g. answers are relevant to the specific profession).
No exemplars at this time.
  • I can explain why it’s important for specific professionals to follow the order of operations using concrete mathematic vocabulary or in-depth explanations.
No exemplars at this time.

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