Printable Order of Operations Worksheet | Grade 6 Math

Equip your students with the essential skills to solve complex mathematical expressions using the correct hierarchy. This comprehensive Grade 6 worksheet focuses on the Order of Operations with integers, ensuring learners can confidently solve brackets, exponents, and multi-step calculations. By mastering these rules, students build a foundation for algebraic success and numerical precision.

At a Glance

• Grade: 6 · Subject: Math
• Standard: CCSS.MATH.CONTENT.6.EE.A.2 — Evaluate expressions at specific values of their variables using the order of operations
• Skill Focus: Order of Operations (PEMDAS) with Integers
• Format: 4 pages · 20 problems · Answer key included · PDF
• Best For: Mastery practice and error analysis
• Time: 45–60 minutes

This 4-page PDF contains six distinct sections designed to challenge and support learners. It includes an error analysis section where students identify mistakes in incorrect solutions, a direct expression mastery set, and logic puzzles to build number sense. The document also features a clear hierarchy diagram for reference, "Math in Action" word problems, and a value table for evaluating algebraic expressions through substitution.

• Guided Practice: The worksheet begins with error analysis, providing scaffolded problems where students evaluate existing work to find logical flaws. This meta-cognitive approach ensures they recognize common pitfalls before attempting their own calculations.
• Supported Practice: Learners transition to logic puzzles and expression mastery, utilizing a visual hierarchy anchor to solve 8 tasks. These problems gradually introduce negative integers and nested grouping symbols to increase cognitive demand.
• Independent Practice: The final 10 tasks require students to translate real-world scenarios into mathematical expressions and evaluate variables in complex tables. This level of application demonstrates full mastery of the order of operations without external prompts.

This resource is explicitly aligned to CCSS.MATH.CONTENT.6.EE.A.2, which requires students to evaluate expressions at specific values of their variables. It covers the use of the order of operations to perform arithmetic operations, including those involving whole-number exponents and integers. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

Use this worksheet as a summative assessment after a unit on PEMDAS or as a rigorous sub-plan that requires minimal teacher intervention. For a formative check, observe students during the "Error Analysis" section; if they struggle to identify why an answer is wrong, it indicates a misunderstanding of operation priority. Expected completion time is 50 minutes for most Grade 6 students.

This material is tailored for Grade 6 and Grade 7 students moving beyond basic arithmetic into pre-algebra. It is ideal for general education classrooms, but the scaffolded sections make it suitable for small-group intervention. It pairs naturally with a lesson on integer operations or a classroom anchor chart detailing the priority of parentheses and exponents.

Mastering the order of operations is a critical milestone in the transition from arithmetic to algebraic thinking. This worksheet utilizes CCSS.MATH.CONTENT.6.EE.A.2 to provide a rigorous framework for evaluating expressions with integers and exponents. Research by Fisher & Frey (2014) emphasizes the importance of error analysis in mathematical instruction, as identifying misconceptions significantly improves long-term retention compared to rote practice alone. By incorporating logic puzzles and word problems, this resource ensures that 20 distinct tasks engage different cognitive domains. Students learn not just to compute, but to translate and interpret numerical relationships within a formal hierarchy. The inclusion of a visual anchor and a step-by-step evaluation table provides the necessary support for diverse learners to achieve mastery. This complete PDF package serves as a high-quality tool for classroom instruction, intervention, or independent study.