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. 

Concepts

solving quadratics, square roots, math modeling, falling action

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Additional Tags

math

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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

Pros

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

Cons

• 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

Common Core

HSA-SSE.A.1.a HSA-SSE.A.2 HSA-SSE.B.3.a HSA-APR.A.1 HSA-CED.A.1 HSA-CED.A.2 HSA-REI.B.4.b HSA-REI.D.11 HSF-IF.B.4 HSF-IF.B.5 HSF-IF.B.6 HSF-IF.C.7.a MP2 MP7