Grade 3/Order of Operations
Parenthesis First: Subtraction (586)
Students progress to using subtraction inside parenthesis while maintaining the parenthesis-first rule. This worksheet introduces subtraction operations within parenthesis and teaches students to carefully track negative operations. Problems include both (a - b) + c and a - (b - c) formats to build flexibility. Step-by-step solutions emphasize solving the parenthesis first, then completing the remaining addition or subtraction.
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Teaching Notes
Emphasize that subtraction inside parenthesis must be done first, even when followed by addition. Use color coding: highlight parenthesis in one color, the operation outside in another. Watch for students who subtract left-to-right without checking for parenthesis.
Vocabulary
Parentheses: Symbols ( ) that group numbers.
Subtraction: Taking away a number from another.
Common Mistakes
- Subtracting left to right: doing "20 - 9" before checking for parenthesis in "20 - (9 - 4)"
- Sign confusion: forgetting the subtraction sign outside parenthesis
- Rushing through parenthesis without writing the intermediate result
- Confusing which numbers are inside vs outside the parenthesis
- Solving operations out of order.
- Incorrectly applying signs after parenthesis are solved.
- Calculation errors with subtraction, especially involving negatives.
Differentiation
SupportCircle the parenthesis first on every problem. Write out Step 1 and Step 2 labels. Use number lines to visualize subtraction. Start with only format (a - b) + c before introducing a - (b - c).
ChallengeTry three-number subtraction in parenthesis: (15 - 4 - 3) + 2. Create problems where ignoring parenthesis gives a very different answer. Explore when the answer is the same with or without parenthesis.
Discussion Questions
- What changes when we have subtraction inside the parenthesis instead of addition?
- Why is it important to write down what you get after solving the parenthesis?
- Can you create a problem where the parenthesis is at the end instead of the beginning?
- Why is solving inside the parenthesis first so important?
- How does the placement of parentheses change the answer?
- Can you think of a real-world scenario where order of operations matters?
- What strategy do you use to avoid sign errors in these problems?
Extension Activities
- Compare answers: Try (10 - 3) + 5 vs 10 - 3 + 5 - do you get different answers?
- Create story problems that need parenthesis with subtraction
- Practice with manipulatives: use blocks to show taking away groups first
Parent Tip
Ask your child to explain why solving inside parentheses is important.
Learning Path
Skill Cluster
Number Sense & Operations
Estimated Time
15 minutes
Skills Practiced
subtraction in parenthesismixed operations with parenthesis
Prerequisites
- 585
- Multi-digit Subtraction
- Basic Order of Operations Concepts
Next Steps
- Order of Operations: All Operations
- Expressions with Multiple Grouping Symbols
- Parenthesis First: Addition