5-Step Processing

This order of operations worksheet challenges students to evaluate numerical expressions that require five distinct steps using PEMDAS. Learners simplify parentheses, complete multiplication or division, and then handle addition or subtraction in the correct sequence, building fluency and confidence with layered expressions.

Instructional Objectives

• Skill Focus (Grades 6-8): Evaluate five-step numerical expressions using the correct order of operations.
• Conceptual Understanding (Grades 6-8): Understand how parentheses and operation hierarchy structure complex expressions.
• Algebraic Reasoning (Grades 7-8): Apply disciplined, step-by-step reasoning to accurately solve multi-step expressions.
• Curriculum Alignment (Grades 6-8): Supports order of operations mastery, multi-step expression evaluation, procedural fluency, and problem-solving standards.

Each problem requires careful sequencing and attention to detail, helping students avoid common PEMDAS errors as expressions increase in complexity. Repeated practice with five-step problems strengthens procedural endurance and mathematical confidence.

Learning Benefits

• Builds accuracy and stamina with complex expressions
• Reinforces consistent application of PEMDAS rules
• Encourages organized, step-by-step problem solving
• Effective for practice, review, or assessment preparation

This printable worksheet provides rigorous practice that helps students master five-step expressions and develop strong operational fluency for advanced mathematical work.

This worksheet is part of our 5-Step Order of Operations Worksheets collection.