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. 

Concepts

quadratic formula, completing the square, solving quadratics

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Additional Tags

math

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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

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 MP1 MP7