Derivation of the Quadratic Formula

This Derivation of the Quadratic Formula worksheet also includes:

What connection does the quadratic formula have with a quadratic equation? Using a matching activity, pupils construct the algebraic derivation of the quadratic formula in this Algebra II lesson task. The task provides two variations of the proof, one where the directions need to be matched to the algebraic representation and one where the algebraic representation needs to be matched to the directions.

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CCSS: Adaptable
Instructional Ideas

  • Pieces can be laminated for continued use
  • Have pairs work independently where one places the directions and the other places the algebraic representations; once finished, the pairs compare their sheets to verify the correctness
Classroom Considerations

  • Scissors are needed along with glue or tape
Pros

  • Provides two options for the same proof
  • Engaging way to work through the algebraic derivation of the quadratic formula
Cons

  • None
Common Core