Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a variety of examples to prepare pupils for anything they may encounter. 

Concepts

completing the square, solving quadratics, square roots, irrational numbers

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Additional Tags

math

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Instructional Ideas

• Begin with a review of solving using square roots and simple completing the square examples
• Incorporate board work to check for understanding

Classroom Considerations

• Depending on the level of learners, more examples may be needed with additional simple completing the square examples; use them until pupils are comfortable with the process, and then introduce more complex examples
• Module 14 in a set of 26

Pros

• Comparisons are made to factoring to solve as a reminder of multiple approaches
• Handouts, keys, and a thorough 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