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Order of Operations Worksheets for Grades 5–8: PEMDAS & GEMDAS Practice with the Step-Down Method

Grade levels
5th–8th grade
Subjects
Math, Counting & Number Sense
Pages
46 pages
Format
PDF

Most order-of-operations errors are not careless slips; they are habits, and this set is built to break them one step at a time. Students work down each expression with a checklist beside every problem, in both PEMDAS and GEMDAS versions.

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Description

These Order of Operations Worksheets give grades 5–8 a steady way to work through multi-step expressions. The 46-page black and white PDF centers on the Step-Down Method, where students solve one step at a time and write each new line below the last, so a wrong turn is easy to spot.

Practice is organized in three levels with 24 problems in all. Level 1, for grade 5, covers parentheses with addition, subtraction, multiplication and division. Level 2, for grade 6, adds exponents, brackets and multi-step expressions. Level 3, for grades 7–8, moves into nested grouping symbols, negative numbers and complex expressions. Every problem carries its own checklist: grouping, exponents, multiplication and division, addition and subtraction, left-to-right solving.

The set comes in a full PEMDAS version and a full GEMDAS version, so you can use whichever wording your class already knows. Two problems share a page with a large workspace, and reference guides for both PEMDAS and GEMDAS sit alongside a worked step-down example and a step-by-step solution model for students to copy.

Two critical-thinking activities push past routine practice. Find the Mistake gives students four solved problems with an error hidden inside, and Make It True asks them to add parentheses to eight equations until each one works. Four exit tickets are ready to cut apart for a quick daily check.

For planning, the pack includes a 6-day study plan, grade-level learning paths, teacher notes, a differentiation guide, Step-Down Method instructions, a student checklist guide, printing tips and a contents page. Answer keys show step-by-step solutions with the next step highlighted, including keys for the error analysis, Make It True and exit ticket pages, and the set closes with an Order of Operations Pro certificate.

📖 Teaching guide · 13 min readWhen the Answer Is Wrong but the Work Looks Right: Fixing Order-of-Operations Mistakes in Grades 5-8Read the guide →

What's included

Practice in three levels

  • 24 problems in three levels, eight problems per level
  • Level 1 for grade 5: parentheses, addition, subtraction, multiplication and division
  • Level 2 for grade 6: exponents, brackets and multi-step expressions
  • Level 3 for grades 7–8: nested grouping symbols, negative numbers and complex expressions
  • Two problems per page with a large workspace
  • A full PEMDAS version and a full GEMDAS version

The Step-Down Method and checklists

  • Step-Down Method instructions and a student checklist guide
  • A checklist beside every problem: grouping, exponents, multiplication and division, addition and subtraction, left-to-right solving
  • PEMDAS reference guide and GEMDAS reference guide
  • A worked step-down example and a step-by-step solution model
  • Complete step-by-step answer keys with the next step highlighted

Thinking, checking and planning

  • Find the Mistake: four error-analysis problems
  • Make It True: eight logic-based equations where students add parentheses
  • Four quick exit tickets, cut apart for daily review
  • A 6-day study plan with grade-level learning paths and a differentiation guide
  • Teacher notes, ways to use, printing tips and a contents page
  • An Order of Operations Pro certificate

Ways to use it

  • A first lesson on the Step-Down Method with the worked example on display
  • Leveled practice in math centers or small groups
  • Find the Mistake as a partner discussion task
  • Make It True as a challenge for early finishers
  • A daily exit ticket to check one skill at a time
  • Intervention or test-prep review with the answer keys as a model

Why it works

Writing each step down and checking it off slows students down just enough to catch the habit that usually trips them up, whether that is rushing left to right or skipping the exponent. Three levels mean a fifth grader and an eighth grader can work on the same skill at the right difficulty, and the error-analysis pages turn mistakes into the lesson itself.

Questions & answers

What grades is it for?

It is written for grades 5–8, with Level 1 for grade 5, Level 2 for grade 6 and Level 3 for grades 7–8.

Does it cover both PEMDAS and GEMDAS?

Yes. The set includes a full PEMDAS version and a full GEMDAS version, plus a reference guide for each.

How does the Step-Down Method work?

Students solve one step at a time, writing each new line below the last, and check off grouping, exponents, multiplication and division, addition and subtraction, and left-to-right solving beside every problem.

What is included for checking understanding?

Four Find the Mistake error-analysis problems, eight Make It True equations, four cut-apart exit tickets, and complete step-by-step answer keys with the next step highlighted.

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Order of Operations Worksheets · $6.49Get it on TPT