Shark Learning
Grade 5/Division

Fact Families: Multiplication and Division (561)

Practice creating complete fact families from three given numbers. This exercise reinforces the connection between multiplication and division, developing fluency with inverse operations and deepening number sense.
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Teacher Resources
Lesson Plan

Inverse Operations: Multiplication and Division

Standards
3.OA.B.6
Printable Aids
Fact Family TriangleNumber Bonds
Teaching Notes

This activity reinforces the inverse relationship between multiplication and division, building a strong foundation for operations. It strengthens number sense by showing how numbers are interconnected within a family.

Vocabulary
Fact Family: Related addition/subtraction or multiplication/division facts.
Inverse Operations: Operations that undo each other.
Common Mistakes
  • Not including all four facts (two multiplication, two division).
  • Incorrectly identifying the product or quotient in the sentences.
  • Confusing the roles of the numbers (e.g., factors vs. product).
Differentiation
SupportUse concrete manipulatives or fact triangle visuals to build families.
ChallengeIntroduce larger numbers or include a missing number in a fact family.
Discussion Questions
  • What is a fact family, and why is it useful in mathematics?
  • How does understanding fact families help with solving division problems?
  • When might a fact family have only two facts instead of four?
  • How are multiplication and division considered inverse operations?
Extension Activities
  • Create fact family cards.
  • Play fact family matching games.
  • Write story problems.
Parent Tip

Ask your child to create fact families using different sets of three numbers.

Learning Path
Skill Cluster

Number Relationships & Operations

Grade Level

3-4

Skills Practiced
fact familiesmultiplication factsdivision facts
Prerequisites
  • Multiplication Facts
  • Division Concepts
  • Basic Multiplication Facts
  • Basic Division Facts
  • Understanding Inverse Operations
Next Steps
  • Solving for Unknowns
  • Algebraic Equations
  • Solving Equations with Unknowns
  • Multi-Digit Multiplication
  • Multi-Digit Division
  • Multiplication: Write the Fact Family
  • Missing Numbers: Fact Families
  • Division: Unknown Factor Problems