Deriving the Quadratic Formula

Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to other techniques learned. 

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CCSS: Designed
Instructional Ideas

  • Choose examples for class members to complete using various methods; use whiteboards for quick comparisons
  • Challenge learners to use different methods by having volunteers race to solve the same problem with different methods
Classroom Considerations

  • Allow time for sufficient practice; expand the lesson to multiple days if necessary
  • Class members should be proficient with completing the square and factoring to be successful with this concept
  • Fifteenth module in a 26-part series
Pros

  • Designed to lead to the progression of the quadratic formula
  • Emphasis is placed on determining efficient methods of solving based on the equation
  • Handouts, keys, and a detailed teacher guide are included
Cons

  • None