Grade 5/Order of Operations
Order of Operations Word Problems
Students apply order of operations skills to real-world scenarios through engaging word problems. Each problem presents a practical situation involving stickers, cookies, toys, or other relatable objects that students must translate into an equation and solve using proper operation order. Problems progress from simple multiplication-then-subtract scenarios to more complex situations requiring parenthesis. This worksheet bridges abstract math skills to concrete applications.
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Prerequisites
Practice Questions
- Maya bought 3 packs of stickers. Each pack has 4 stickers. She gave away 5 stickers. How many stickers does she have left? Equation: 3 × 4 - 5 = ?
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7
- A baker made 20 cookies. He put them in 4 boxes with 3 cookies each. How many cookies are left over? Equation: 20 - 4 × 3 = ?
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8
- Sam had 5 toy cars. His friend gave him 3 more. Then Sam bought 2 packs of 4 cars each. How many cars does Sam have in total? Equation: (5 + 3) + 2 × 4 = ?
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16
- There are 6 baskets. Each basket has 5 apples. If 8 apples are eaten, how many apples are left? Equation: 6 × 5 - 8 = ?
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22
- A store has 25 pencils. They sell 3 boxes with 4 pencils each. How many pencils are left in the store? Equation: 25 - 3 × 4 = ?
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13
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Quick Tip
Write the expression first, then apply order of operations: Parentheses → Multiply/Divide (left to right) → Add/Subtract (left to right).
Teacher Resources
Teaching Notes
Word problems add reading comprehension complexity to order of operations. Many students can solve equations but struggle translating stories to math. Teach systematic approach: 1) Read twice, 2) Identify key numbers and operations, 3) Write equation, 4) Solve step-by-step. Use think-alouds to model translation process. Discuss why certain operations are needed: "3 packs of 4" signals multiplication, "gave away 5" signals subtraction. Students may write correct equation but forget operation order - emphasize using rules even in context. Consider partner work: one student reads/translates, other solves.
Vocabulary
Order of Operations: Rules for solving math problems with multiple steps.
Expression: A math phrase with numbers and operations.
Common Mistakes
- Incorrect equation translation: missing operations or wrong order
- Writing equation correctly but solving left-to-right anyway
- Forgetting to include units in answer (stickers, cookies, etc.)
- Misreading problem: confusing who has what or what operation is needed
- Skipping the equation step and trying to solve mentally (leading to errors)
- Incorrect operation order
- Misinterpreting problem context
- Calculation errors
- Ignoring parentheses
Differentiation
SupportRead problems aloud together. Highlight key numbers and operation words (each, left, in total, gave away). Provide equation templates with blanks: ___ × ___ - ___. Start with simpler two-operation problems only. Allow drawings/pictures to visualize story. Work in guided small groups. Provide word bank of operation keywords.
ChallengeRemove equation line - students must determine equation independently. Add problems requiring four operations. Include problems with irrelevant information students must filter out. Challenge: Write problems where equation could be interpreted two ways, discuss which is correct. Create problem sets where multiple problems are related (continuing story).
Discussion Questions
- How do you know which operation to use? What words in the story tell you?
- Why is it important to write the equation before solving?
- Can you create a different story for the same equation?
- Which problems were easiest to translate? Which were trickiest?
- How does solving word problems differ from solving regular equations?
- Why is order of operations important?
- How do parentheses affect the solution?
- When might you use this in daily life?
- What strategy helped you solve this problem?
Extension Activities
- Create your own word problems for given equations: 4 × 3 + 5, 20 - 2 × 6
- Act out problems with manipulatives: use actual objects to show the story
- Compare solutions: solve the same story problem but change one number
- Reverse challenge: Given answer of 15, create a word problem using order of operations
- Multi-step stories: Combine two problems into one longer story
Parent Tip
Ask your child to explain the steps they took to solve a word problem.
Learning Path
Skill Cluster
Algebraic Reasoning & Operations
Estimated Time
30 minutes
Skills Practiced
Word problem solvingMath applicationContextual problem solving