Numbering Analysis

This order of operations worksheet strengthens conceptual understanding by asking students to analyze whether four-step expressions have been solved correctly. Learners identify errors, explain what went wrong, and compute the correct value, helping them recognize and avoid common PEMDAS mistakes.

Instructional Objectives

• Skill Focus (Grades 6-8): Evaluate four-step expressions and determine whether the order of operations was applied correctly.
• Conceptual Understanding (Grades 6-8): Identify common PEMDAS errors such as ignoring parentheses or performing addition before multiplication.
• Algebraic Reasoning (Grades 7-8): Justify corrections by explaining why a solution is incorrect and how to fix it step by step.
• Curriculum Alignment (Grades 6-8): Supports error detection, multi-step operational accuracy, order of operations reasoning, and mathematical justification standards.

By focusing on incorrect work, students engage in metacognitive thinking-examining not just what the answer is, but why a method works or fails. This approach deepens understanding and builds habits that support algebra readiness.

Learning Benefits

• Builds strong error-analysis and reasoning skills
• Highlights and corrects common order of operations misconceptions
• Encourages precise thinking and clear mathematical justification
• Effective for discussion-based lessons, review, or assessment

This printable worksheet provides powerful practice with analyzing and correcting four-step expressions, helping students develop accuracy, confidence, and deeper understanding of the order of operations.

This worksheet is part of our 4-Step Order of Operations Worksheets collection.