Proof Without Words: Completing the Square

This Proof Without Words: Completing the Square interactive also includes:

Completing the square is not just an algebraic manipulation. The interactive contains a geometric proof of the concept of completing the square in algebra. The proof uses the area model of multiplication to build a square from the terms created during the completing-the-square steps.

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CCSS: Adaptable
Instructional Ideas

  • The resource lends itself to a demonstration with the teacher explaining each step algebraically and geometrically
  • After seeing the geometric explanation, have learners show that the equation is true algebraically
Classroom Considerations

  • The class should be familiar with the area model for multiplication

  • The action buttons do not appear until students should use them
  • Allows for the proof to be done using several values

  • None
Common Core