Reflection: Developing a Conceptual Understanding Comparing the Three Methods of Solving Quadratics - Section 1: Warm Up


I was very happy with the way this question went with the students.  Most students started by using the given quadratic formula to write down the a, b and c values and then worked backwards to plug these into a quadratic equation.  Some students finished earlier than others and I asked them to think about other ways the equation could have been written.  They had fun with this idea and came up with several examples of other equations.  Here are a few:





While these are all simple algebraic manipulations, it was interesting for the students to see that all of these variations led to the same solutions.  I had various students post their ideas on the board so that the class could see all of the possibilities.

  Working Backwards
  Developing a Conceptual Understanding: Working Backwards
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Comparing the Three Methods of Solving Quadratics

Unit 6: Quadratic Functions
Lesson 12 of 21

Objective: SWBAT choose the best method for solving a quadratic equation

Big Idea: While several methods can sometimes be used to solve a quadratic equation, one method may be more efficient.

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