Students rewrite quadratic expressions given in standard form, ax2 + bx + c (with a ? 1), as equivalent expressions in completed square form, a(x - h)2 + k. They build quadratic expressions in basic business application contexts and rewrite them in equivalent forms.

Teacher and Student versions of full lesson from engageNY

Students graph simple quadratic equations of the form y = a(x - h)^2 + k (completed-square or vertex form), recognizing that (h,k) represents the vertex of the graph and use a graph to construct a quadratic equation in vertex form. Students understand the relationship between the leading coefficient of a quadratic function and its concavity and slope and recognize that an infinite number of quadratic functions share the same vertex.

Teacher and Student versions of full lesson from engageNY