Printable Order of Operations with Integers | Grade 6-8

This comprehensive Math worksheet provides students with intensive practice in the order of operations involving complex integers. By navigating multi-step expressions that include nested parentheses, brackets, and exponents, learners develop the computational fluency required for algebraic success. This printable resource ensures students master PEMDAS rules while accurately handling negative and positive integers in high-complexity mathematical environments.

At a Glance

• Grade: 7 · Subject: Math
• Standard: CCSS.MATH.CONTENT.7.NS.A.3 — Solve multi-step mathematical problems involving the four operations with rational numbers and integers
• Skill Focus: Order of Operations with Integers (PEMDAS)
• Format: 5 pages · 27 problems · Answer key included · PDF
• Best For: Independent practice and integer operation mastery
• Time: 45–60 minutes

What's Inside

This 5-page worksheet features 27 meticulously crafted problems divided into four distinct sections. Part 1 focuses on multi-step integers with standard PEMDAS rules, while Part 2 introduces nested parentheses mastery. Part 3 provides an advanced integer review with higher exponents, and Part 4 presents a Super Challenge for gifted learners. The download includes a complete 5-page answer key with step-by-step results for immediate feedback.

Skill Progression

• Guided Practice: The first four problems establish the baseline for handling basic multi-step operations with negative numbers and simple powers, ensuring students recall foundational arithmetic before advancing.
• Supported Practice: Problems 5 through 16 introduce nested grouping symbols, requiring students to carefully track operations within brackets and parentheses while managing negative integer multiplication.
• Independent Practice: The final sections remove scaffolding, challenging students to apply complex integer rules and powers to solve highly abstract expressions in the Super Challenge set.

This structured progression aligns with the Gradual Release of Responsibility model, moving students toward procedural fluency.

Standards Alignment

The primary standard for this resource is CCSS.MATH.CONTENT.7.NS.A.3: Solve real-world and mathematical problems involving the four operations with rational numbers. It also supports CCSS.MATH.CONTENT.6.EE.A.1 regarding the evaluation of numerical expressions involving whole-number exponents. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools to ensure instructional compliance and tracking.

How to Use It

Use this worksheet during the independent practice phase of a lesson on integer operations. For a formative assessment, observe students as they solve the nested parentheses in Part 2; if they struggle with the innermost brackets, provide immediate intervention. Most Grade 7 students will require approximately 50 minutes to complete the full 27-problem set with accuracy during a standard class period.

Who It's For

This resource is designed for middle school students in Grades 6-8 who are refining their algebraic readiness. It is particularly effective for students requiring extra practice with negative numbers. Pair this worksheet with a visual PEMDAS anchor chart or a reference sheet for integer rules to support diverse learners and those with specific IEP accommodations for math calculation.

The mastery of order of operations with integers is a critical milestone in the transition from arithmetic to formal algebra. Research from RAND AIRS 2024 indicates that students who achieve computational fluency with multi-step integer expressions demonstrate higher success rates in secondary linear equation units. This worksheet addresses the common sign error bottleneck by providing 27 high-repetition opportunities to apply CCSS.MATH.CONTENT.7.NS.A.3 in varying contexts. According to Fisher & Frey (2014), the use of nested parentheses forces students to move beyond rote memorization of acronyms and toward a deeper understanding of mathematical hierarchy. By incorporating exponents and multiple grouping symbols, this printable resource ensures that students develop the executive functioning skills necessary to organize complex mental tasks. It serves as a reliable instrument for both formative assessment and summative review in standards-aligned middle school mathematics classrooms.