Lesson Plan: Quadratic Equations: Coefficients and Roots Mathematics • 10th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to recognize the relationship between the coefficients of a quadratic equation and its roots.


Students will be able to

  • recognize the relationship between the roots of a quadratic equation and its coefficients,
  • identify the sum and product of the roots using the formulae 𝑏𝑎 and 𝑐𝑎, respectively, for a quadratic equation 𝑎𝑥+𝑏𝑥+𝑐=0,
  • form a quadratic equation given its roots, including when the roots are integers, rational numbers, real numbers, and complex numbers, and solve related problems.


Students should already be familiar with

  • how to find the roots of quadratic equations, including the quadratic formula,
  • complex roots of quadratic equations.


Students will not cover

  • roots of higher-order functions,
  • forming a quadratic equation given the roots of another quadratic equation,
  • nonconjugate complex roots.

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