Solving Basic One-Variable Quadratic Equations

Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by square roots uses more examples in the form a(x-b)^2 to examine the types of equations that can be solved using square roots. 

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CCSS: Designed
Instructional Ideas

  • Include some examples that could be solved by factoring to give practice identifying when a method is appropriate
  • Use frequent checks for understanding using board work or pair share strategies
Classroom Considerations

  • It may be necessary to teach this lesson over multiple days depending on the level of learners
  • The sixth exercise in a 26-part series

  • Begins with a real-world example to motivate learners
  • Handouts, keys, and a detailed teacher guide are included

  • Opening exercise uses an incorrect equation. The equation used is for a dropped object, but the object is rolling down an incline; recommend omitting the opener or changing it to drop a ball instead