Lesson Plan: Quadratic Functions in Different Forms Mathematics • 9th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to evaluate and write a quadratic function in different forms.


Students will be able to

  • understand the vertex form of a quadratic equation and how to use this form to find the features of the graph of a quadratic function, including the intercepts, extrema, vertex, axis of symmetry, range, and domain,
  • use the vertex form of a quadratic function to consider the number of solutions a quadratic function will have graphically,
  • convert between the different forms of a quadratic function to find its key features,
  • understand the features of the graph of a quadratic function in factored form, including repeated roots,
  • find unknown values in a quadratic function equation using any of its features and points on its curve,
  • identify the possible equation of a function in any form from its graph.


Students should already be familiar with

  • completing the square,
  • the standard form of a quadratic function,
  • factoring quadratic functions,
  • graphing quadratic functions in standard form,
  • the features of a graph of a quadratic function.


Students will not cover

  • the quadratic formula and discriminants.

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