Printable Order of Operations with Integers & Exponents

This comprehensive math worksheet targets the critical skill of evaluating numerical expressions using the correct order of operations. Students systematically work through expressions involving integers, grouping symbols, and exponents to build computational fluency. By mastering these five-step calculations, learners develop the precision required for higher-level algebraic reasoning and complex problem-solving in middle school mathematics.

At a Glance

• Grade: 6 · Subject: Math
• Standard: CCSS.MATH.CONTENT.6.EE.A.1 — Write and evaluate numerical expressions involving whole-number exponents
• Skill Focus: Order of Operations (PEMDAS) with Integers
• Format: 4 pages · 26 problems · Answer key included · PDF
• Best For: Middle school math centers and independent practice
• Time: 40–50 minutes

What's Inside

This four-page instructional resource contains 26 structured problems designed to challenge student understanding of PEMDAS. The worksheet is organized into four distinct phases: Foundational Practice, Intermediate Challenges, Advanced Operations, and The Ultimate Challenge. Each page provides generous workspace for students to show their step-by-step logic. A full answer key is provided for immediate grading or self-correction.

Skill Progression

• Guided practice begins with foundational expressions that isolate parentheses and basic exponents, allowing students to anchor their understanding of the hierarchy through 8 introductory problems.
• Supported practice introduces negative integers and nested operations, requiring 8 moderate-level evaluations that bridge the gap from basic calculation to mastery.
• Independent practice culminates in "The Ultimate Challenge," where students navigate complex expressions featuring brackets and braces across 10 high-ceiling problems.

This progression follows a gradual-release model, ensuring students internalize the rules of operations before tackling multi-step algorithmic complexity.

Standards Alignment

The primary alignment for this resource is `CCSS.MATH.CONTENT.6.EE.A.1`, which requires students to evaluate numerical expressions involving whole-number exponents. Additionally, it supports `CCSS.5.OA.A.1` by utilizing parentheses, brackets, and braces within numerical expressions. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Deploy this worksheet during the "You Do" phase of a lesson on numerical expressions. It serves as an excellent formative assessment tool; teachers should observe student work on Part 2 to identify common misconceptions regarding negative integers. For extended learning, assign the "Ultimate Challenge" as a collaborative task to encourage mathematical discourse and peer verification. Completion typically ranges from 40 to 50 minutes.

Who It's For

This resource is ideal for Grade 6 students mastering exponents or Grade 7-8 students needing a refresher on integer operations. It provides necessary scaffolding for students with IEPs through its clear sectioning while offering extensions for advanced learners. Pair this worksheet with a visual PEMDAS anchor chart or a digital calculator check for a complete instructional cycle.

Research from the RAND AIRS 2024 analysis emphasizes that procedural fluency in numerical expressions is a significant predictor of success in secondary algebra. This worksheet directly addresses this by providing 26 high-quality practice items aligned to CCSS.MATH.CONTENT.6.EE.A.1. The intentional design, which moves from basic integer operations to complex nested expressions, mirrors the cognitive load theory principles of reducing split-attention effects while building schema for order of operations. By requiring students to navigate exponents and parentheses within the context of negative numbers, the resource reinforces the order of priority necessary for algebraic manipulation. Teachers can cite this resource as evidence of standards-aligned practice that supports the National Mathematics Advisory Panel's recommendation for rigorous work with rational numbers. The inclusion of a clear answer key facilitates the immediate feedback loops proven by ScienceDirect TpT Analysis to increase student retention of mathematical algorithms.