Grade 3/Division
Division: Complete the Fact Family (560)
Discover the relationship between multiplication and division by completing fact families. Students learn that multiplication and division are inverse operations, helping them understand how four related number sentences share the same three numbers.
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Teacher Resources
Lesson Plan
Inverse Operations: Multiplication and Division
Standards
3.OA.B.6Printable Aids
Fact Family TriangleNumber Bonds
Teaching Notes
Emphasize that multiplication and division are inverse operations. Using number bonds can help visualize the relationship between the three numbers.
Vocabulary
Fact Family: Related math facts using same numbers.
Inverse Operations: Operations that undo each other.
Common Mistakes
- Confusing factors/products or dividend/divisor/quotient positions.
- Not recognizing the inverse relationship between operations.
- Only writing two facts instead of all four related sentences.
Differentiation
SupportUse manipulatives or draw array models for support.
ChallengeIntroduce larger numbers or missing number fact family problems.
Discussion Questions
- How are multiplication and division related to each other?
- What three numbers are used to form this entire fact family?
- How does knowing one fact help you find the other three?
- Can you describe a real-world situation for this fact family?
Extension Activities
- Create fact family cards.
- Play 'I Spy' with numbers.
- Draw fact family houses.
Parent Tip
Use three numbers to create a fact family with your child.
Learning Path
Skill Cluster
Number Sense and Operations
Grade Level
3-4
Skills Practiced
division fact familiesmultiplication fact familiesinverse operations
Prerequisites
- Multiplication Facts
- Division Concepts
- Basic Multiplication Facts
- Basic Division Facts
Next Steps
- Solving for Unknowns
- Algebraic Equations
- Solving Missing Number Equations
- Multi-Step Word Problems (Multiplication/Division)
- Multiplication Fact Fluency Practice
- Division Fact Fluency Practice
- Missing Multipliers and Divisors
