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Multiplication with Arrays - Count and Multiply

Practice counting objects arranged in arrays and writing multiplication sentences. Students see visual arrays of shapes arranged in rows and columns. Helps students connect visual representations to multiplication.
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Prerequisites
Multiplication as Repeated Addition10 WS
3 + 3 + 3 + 3 = ? and 4 × 3 = ?
What to Do Next
Arrays to Multiplication Sentences7 WS
Write 2 multiplication sentences: (2 rows of 5 circles shown)

Practice Questions

  1. ? rows × ? in each row = ? × ? = ?
    Show answer

    2 rows × 4 in each row = 2 × 4 = 8

  2. ? rows × ? in each row = ? × ? = ?
    Show answer

    3 rows × 3 in each row = 3 × 3 = 9

  3. ? row × ? in the row = ? × ? = ?
    Show answer

    1 rows × 5 in the row = 1 × 5 = 5

  4. ? rows × ? in each row = ? × ? = ?
    Show answer

    5 rows × 1 in each row = 5 × 1 = 5

  5. ? rows × ? in each row = ? × ? = ?
    Show answer

    3 rows × 4 in each row = 3 × 4 = 12

Teacher Resources
Standards
3.OA.A.1, 3.OA.A.3
Printable Aids
Grid paperDot arrays
Teaching Notes

Introduce arrays as a visual model for multiplication, connecting rows/columns to factors. Emphasize that multiplication is repeated addition.

Vocabulary
Array: Objects arranged in rows and columns.
Multiply: Combine equal groups to find a total.
Common Mistakes
  • Mixing up rows (horizontal) and columns (vertical).
  • Counting perimeter instead of area/total.
  • Counting individual objects instead of groups/factors.
  • Confusing the number of rows with the number of columns.
  • Writing repeated addition instead of a multiplication sentence.
Differentiation
SupportUse physical manipulatives to build arrays and count them.
ChallengeDraw arrays for given multiplication facts; explore the commutative property.
Discussion Questions
  • Where do you see arrays in the real world?
  • How is multiplication with arrays like repeated addition?
  • What happens if you swap the number of rows and columns?
  • How do arrays help you understand multiplication facts?
Extension Activities
  • Build arrays with objects.
  • Draw multiplication arrays.
  • Count items in arrays.
Parent Tip

Use buttons or blocks to create arrays and practice multiplication.

Learning Path
Skill Cluster

Multiplication Concepts

Estimated Time

20 minutes

Skills Practiced
Visualizing multiplicationRow/Column terminology