Equation Analysis

This order of operations worksheet helps students strengthen understanding by analyzing completed equations to determine whether PEMDAS was applied correctly. Learners label each solution as correct or incorrect, explain any mistakes, and compute the correct result, building metacognitive awareness and precision.

Instructional Objectives

• Skill Focus (Grades 5-7): Evaluate numerical expressions and determine whether the order of operations was applied correctly.
• Conceptual Understanding (Grades 5-7): Identify common PEMDAS errors such as performing addition before multiplication or ignoring parentheses.
• Algebraic Reasoning (Grades 6-7): Critique reasoning, explain errors, and justify corrected solutions step by step.
• Curriculum Alignment (Grades 5-7): Supports mathematical reasoning, expression evaluation, mathematical practices focused on critique, and fluency standards.

By examining others’ work, students shift from simply computing answers to analyzing how solutions are formed. This process deepens conceptual understanding and helps learners internalize correct procedures.

Learning Benefits

• Strengthens error detection and correction skills
• Encourages explanation and justification of reasoning
• Reinforces disciplined use of PEMDAS
• Effective for review, intervention, or formative assessment

This printable worksheet provides meaningful practice with analyzing and correcting order-of-operations solutions, helping students build accuracy, confidence, and deeper mathematical understanding.

This worksheet is part of our 3-Step Order of Operations Worksheets collection.