Shark Learning
Grade 5/Order of Operations

4 Operations with Parentheses (Advanced)

Advanced order of operations practice with all 4 operations. Students must follow the full PEMDAS/BODMAS rules: Parentheses, then Multiply/Divide, then Add/Subtract.
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⭐ Easy2
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📊 Medium2
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🔥 Hard2
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Teacher Resources
Teaching Notes

This is the most challenging set. It introduces the hierarchy of operations outside the parentheses (Mult/Div before Add/Sub). Ensure students are comfortable with this rule before starting.

Vocabulary
Parentheses: Symbols that group numbers and operations.
Order of Operations: Rules for solving math problems.
Common Mistakes
  • Solving left to right regardless of operation (e.g., 10 + 2 x 3 -> 12 x 3 = 36, instead of 10 + 6 = 16)
  • Ignoring parentheses first
  • Incorrect Mult/Div order (left to right)
  • Incorrect Add/Sub order (left to right)
  • Misinterpreting operation symbols
Differentiation
SupportWrite PEMDAS/BODMAS at the top of the page. Have them check off each letter as they look for it.
ChallengeCreate equations that equal 0 or 1 using 4 numbers and any operations.
Discussion Questions
  • Why is operation order crucial in math?
  • What if parentheses were removed?
  • How does left-to-right apply?
  • Create an expression for a peer to solve.
Extension Activities
  • Create your own problems.
  • Use different operations.
  • Add more numbers.
Parent Tip

Ask your child to explain the steps they took to solve a problem.

Learning Path
Skill Cluster

Number Sense and Operations

Estimated Time

25 minutes

Skills Practiced
full order of operations
Prerequisites
  • 892
  • Basic Order of Operations without Parentheses
  • Operations with Whole Numbers
Next Steps
  • Order of Operations with Exponents
  • Solving Multi-Step Equations
  • Order of Operations: Exponents
  • Evaluating Expressions with Variables
  • Multi-Step Word Problems