Order of Operations Worksheet | Grade 6 Essential Math

This comprehensive Grade 6-8 math worksheet empowers students to master the order of operations with integers through 26 rigorous problems. By navigating through basic operations, exponents, and nested parentheses, learners develop the computational fluency required for algebraic success. This resource ensures students can confidently evaluate complex numerical expressions in any mathematical context.

At a Glance

• Grade: 6 · Subject: Math · Topic: Integers
• Standard: CCSS.MATH.CONTENT.6.EE.A.1 — Write and evaluate numerical expressions involving whole-number exponents and nested grouping
• Skill Focus: Multi-step Order of Operations with Integers
• Format: 4 comprehensive pages · 26 rigorous problems · Full answer key included · Printable PDF
• Best For: Independent skill practice, remediation, and algebraic readiness goals
• Time: 40–50 minutes of focused calculation

This 4-page worksheet contains a structured sequence of 26 problems designed to eliminate common computational errors. It features dedicated sections for basic integer operations, focused exponent practice, and complex nested parentheses. The layout provides ample workspace for each calculation. A full answer key is included for immediate feedback and easy grading.

• Guided practice: The first section provides 10 problems focused on basic integer arithmetic and simple grouping, establishing a solid foundation for more complex calculations.
• Supported practice: Sections 2 and 3 introduce exponents and nested parentheses, challenging students to apply PEMDAS rules to 8 multi-step expressions with increasing difficulty.
• Independent practice: The final sections present 8 comparison and missing-operation puzzles, requiring students to demonstrate mastery through higher-order analysis and logic.

This sequence follows a gradual-release model, moving from teacher-led modeling to independent student mastery.

Standards Alignment

Aligned to CCSS.MATH.CONTENT.6.EE.A.1, which requires students to write and evaluate numerical expressions involving whole-number exponents. The worksheet also supports CCSS.MATH.CONTENT.7.NS.A.3 by challenging students to solve mathematical problems involving the four operations with rational numbers. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Use this worksheet during the independent practice phase of a gradual-release lesson to provide extensive practice after direct instruction on PEMDAS. For a formative assessment tip, observe students during Section 3; if they struggle with the innermost parentheses, provide a quick mini-lesson on grouping symbols. Completion typically takes 40 to 50 minutes depending on student proficiency.

Who It's For

This resource is ideal for middle school students in Grades 6 through 8. It serves as an excellent remediation tool for high schoolers or a challenge for advanced Grade 5 learners. Pair this worksheet with an integer number line anchor chart to reinforce visual models of negative values and absolute distance.

According to the RAND AIRS 2024 report, proficiency in numerical expression evaluation is a critical gateway to secondary mathematics performance. This worksheet directly addresses this need by providing 26 structured tasks that target the specific cognitive load associated with multi-step integer arithmetic. Research by Fisher & Frey (2014) highlights that the gradual release of responsibility, as mirrored in this resource's progression from basic operations to complex nested parentheses, is essential for internalizing mathematical procedures like the order of operations. By integrating standard CCSS.MATH.CONTENT.6.EE.A.1, this printable provides a high-dosage practice opportunity that aligns with evidence-based instructional designs. Educators can use these tasks to identify persistent misconceptions in sign rules or exponent application, ensuring students reach the level of computational automaticity required for high-stakes assessments. This standalone summary confirms the worksheet's utility as a research-backed tool for Grade 6-8 classrooms.