Grade 5/Order of Operations
Order of Operations: Challenge (Missing Numbers)
Challenge worksheets for Grade 4 order of operations. Students find the missing number in the equation, requiring them to work backwards and understand the structure of the equation.
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Practice Questions
- 10 - (2 + ?) = 5
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3
- (? + 4) x 2 = 16
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4
- 20 ÷ (3 + ?) = 4
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2
- 5 x (10 - ?) = 30
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4
- (15 - ?) + 5 = 12
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Teacher Resources
Teaching Notes
These problems introduce algebraic thinking. Encourage students to treat the part in parentheses (or the unknown part) as a single "box" or variable first, solve for that box, and then solve for the number inside.
Vocabulary
Missing Number: A number that is not shown.
Inverse Operation: The opposite math operation.
Common Mistakes
- Guessing and checking without a strategy
- Ignoring the order of operations when checking their answer
- Ignoring parentheses
- Incorrect inverse operation
- Misapplying order of operations
Differentiation
SupportUse a "cover up" method: Cover the parentheses with a finger. "10 minus what equals 5?"
ChallengeCreate equations with two missing numbers that could have multiple answers (e.g., __ + __ = 10).
Discussion Questions
- How do parentheses change the problem?
- What operation should you undo first?
- How can you check your answer?
- Are there multiple ways to solve this?
Extension Activities
- Use different operations.
- Add more steps.
- Hide numbers in different places.
Parent Tip
Ask 'What if?' questions to change the numbers in a problem.
Learning Path
Skill Cluster
Algebraic Thinking & Problem Solving
Estimated Time
25 minutes
Skills Practiced
Algebraic thinking intro