Essential Order of Operations Worksheet | Grade 5-6 Math

Help your students master the complexities of numerical expressions with this comprehensive order of operations worksheet. This resource provides targeted practice on evaluating multi-step expressions involving integers and nested grouping symbols. By working through these structured problems, students develop the procedural fluency needed for higher-level algebraic success and mathematical precision.

At a Glance

• Grade: 5–8 · Subject: Math
• Standard: CCSS.MATH.CONTENT.5.OA.A.1 — Use parentheses, brackets, or braces in numerical expressions and evaluate expressions
• Skill Focus: Order of Operations (PEMDAS) with Integers
• Format: 5 pages · 13 problems · Answer key included · PDF
• Best For: Independent practice or small group review
• Time: 25–40 minutes

What's Inside

This five-page PDF packet contains 13 high-quality problems designed to build confidence with PEMDAS. The worksheet is divided into two logical sections: basic refreshing of skills and advanced work with nested parentheses, including brackets and braces. Each problem features a dedicated calculation workspace and a final result line, ensuring student work remains organized and easy to evaluate for accuracy.

Skill Progression

• Guided Practice (Refresh): The first 8 problems focus on 4-step operations using standard parentheses. Students are prompted to show every step clearly, reinforcing the left-to-right rule for multiplication and division.
• Supported Practice (Nested): Problems 9–13 introduce brackets and braces. These tasks include explicit instructions to start from the innermost parentheses and work outward, providing a scaffold for complex expression evaluation.
• Independent Mastery: The final problems provide minimal scaffolding, requiring students to apply the full PEMDAS sequence independently to reach the correct integer result. This gradual-release model ensures deep conceptual retention of mathematical hierarchies.

Standards Alignment

The primary focus of this resource is CCSS.MATH.CONTENT.5.OA.A.1, which requires students to use and evaluate expressions with parentheses, brackets, and braces. It also supports middle school standards regarding the evaluation of expressions. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools to streamline documentation.

How to Use It

Use this resource as a post-instruction practice set after introducing the PEMDAS acronym. It works exceptionally well as a check for understanding during independent work time. Teachers should observe students at problem 9 to ensure they are correctly identifying the innermost grouping symbol, which is a key formative assessment indicator for this specific mathematical standard. Expected completion time is roughly 35 minutes.

Who It's For

This worksheet is ideal for 5th through 8th-grade students who are refining their arithmetic skills or preparing for Pre-Algebra. It is particularly useful for students who struggle with the sequence of operations or need more space to organize their multi-step calculations. It pairs naturally with a visual anchor chart or direct instruction lesson.

According to the RAND AIRS 2024 analysis, systematic practice with multi-step numerical expressions is vital for transitioning from arithmetic to algebraic reasoning. This worksheet targets CCSS.MATH.CONTENT.5.OA.A.1 by requiring students to navigate hierarchical operations, including nested brackets and braces. By isolating the Order of Operations skill, the resource ensures students internalize the PEMDAS sequence—Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction—before encountering variable-based equations. The inclusion of integers adds a layer of complexity that mirrors middle-school readiness standards. EdReports (2024) emphasizes that high-quality mathematical materials must balance procedural fluency with conceptual understanding; this resource achieves that balance by providing ample workspace for students to show their step-by-step thinking. This structured approach helps prevent the common trap where students mistakenly apply addition before subtraction or multiplication before division regardless of left-to-right positioning. The 13-task set provides sufficient repetition for mastery without causing cognitive fatigue or disengagement during independent study sessions.