First/Division
Division: Fact Families Mixed Practice
Apply understanding of fact families with various problem formats. Students identify missing numbers in fact families and write related equations, solidifying their grasp of the multiplication-division relationship.
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Practice Questions
- If 5 × 6 = 30, then 30 ÷ 5 = ?
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6
- If 7 × 4 = 28, then 28 ÷ 7 = ?
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4
- If 36 ÷ 6 = 6, then 6 × 6 = ?
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36
- If 8 × 5 = 40, then 40 ÷ 8 = ?
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5
- If 42 ÷ 7 = 6, then 7 × 6 = ?
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42
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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 the inverse relationship between multiplication and division within fact families. Use manipulatives or arrays to visualize the groups and total.
Vocabulary
Dividend: The number being divided.
Divisor: The number you divide by.
Quotient: The answer to a division problem.
Common Mistakes
- Confusing the product/dividend with a factor/divisor.
- Not recognizing all four related facts in a family.
- Incorrectly applying the inverse operation.
Differentiation
SupportProvide number bonds or visual models to build families.
ChallengeChallenge with larger numbers or multi-step word problems.
Discussion Questions
- How are multiplication and division related to each other?
- What numbers are always included in a fact family?
- Why is understanding fact families useful in math?
- Can a fact family ever have fewer than four facts?
Extension Activities
- Create division word problems.
- Use arrays to show division.
- Play division bingo.
Parent Tip
Use objects to model division and ask 'how many groups?' or 'how many in each group?'.
Learning Path
Skill Cluster
Operations and Algebraic Thinking
Grade Level
3-4
Skills Practiced
Division fact familiesMissing numbersMultiplication facts