Give classes confidence in completing the square with a resource that develops the process of completing the square of more complex problems, including fractions and values greater than one. It then uses quadratic modeling for profit and revenue questions. 

Concepts

completing the square, quadratic equations, math modeling

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Additional Tags

math

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Instructional Ideas

• Begin with a review of the simplest completing-the-square problems and build up to the more complex examples

Classroom Considerations

• Multiple days may be necessary for this lesson depending on the level of learners
• Provide practice with fractions before beginning to prepare for the lesson
• Thirteenth module in a 26-part series

Pros

• All handouts, keys, and a detailed teacher guide are included

Cons

• Application questions do not make use of the completing the square concept that is the focus of the lesson

Common Core

HSN-RN.B.3 HSA-SSE.A.1.a HSA-SSE.A.2 HSA-SSE.B.3.a HSA-SSE.B.3.b HSA-APR.B.3 HSA-CED.A.1 HSA-CED.A.2 HSA-REI.B.4.a HSF-IF.B.4 HSF-IF.B.6 HSF-IF.C.7.a HSF-IF.C.8.a