What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.

Concepts

completing the square, factoring by grouping, polynomial equations, zeros, zero product property

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Additional Tags

math

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Instructional Ideas

• Use a graphic organizer to record the different methods of solving polynomial equations

Classroom Considerations

• Builds directly from the previous lesson in a 42-part series
• Consider extending this to a two-day lesson to allow time to develop the concepts

Pros

• Uses a discovery approach to determine the new methods of solving
• Provides suggestions for scaffolding and questioning throughout the lesson

Cons

• None

Common Core

HSN-Q.A.2 HSA-SSE.A.2 HSA-APR.B.2 HSA-APR.B.3 HSA-APR.D.6 HSF-IF.C.7.c MP7