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First/Multiplication

Area Model Multiplication: 2-Digit by 2-Digit

Area-grid style expansion bridging to area model for 2-digit × 2-digit.
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Study Guide

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Area Model Multiplication: 2-Digit by 2-Digit preview

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Practice Questions

  1. (20+3)(10+4) = ?
    Show answer

    322

  2. (30+5)(10+6) = ?
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    530

  3. (40+2)(10+7) = ?
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    714

  4. (50+3)(20+4) = ?
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    1272

  5. (30+7)(10+8) = ?
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    666

Teacher Resources
Teaching Notes

Connect grid method to distributive property and area models. Emphasize place value in partial products.

Vocabulary
Area Model: Visual method using a grid for multiplication.
Partial Product: A product found during multi-step multiplication.
Common Mistakes
  • Dropping one middle partial
  • Misaligning partial products
  • Incorrect place value in partials
  • Calculation errors when adding
  • Forgetting a partial product
Differentiation
SupportStart with 2-digit by 1-digit grids; use manipulatives.
ChallengeIntroduce 3-digit by 2-digit; estimate products first.
Discussion Questions
  • How does the grid relate to area?
  • Why are there four partial products?
  • Can you explain the distributive property?
  • How does place value help in this method?
Extension Activities
  • Draw the area model.
  • Label each box.
  • Calculate larger areas.
Parent Tip

Use graph paper to draw rectangles and find their areas.

Learning Path
Skill Cluster

Number Sense and Operations

Estimated Time

16 minutes

Skills Practiced
Double distributivePartials summation