This is a complete lesson plan for a double-period class. The lesson introduces a system of equations where one equation is quadratic and the other is linear. Students solve the system by graphing to find the point(s) where the graphs intersect.
There are several activities and examples to give students enough practice with the skill. (The lesson can be split to use for two single-period classes).
This lesson plan includes an opening activity, minilesson with guided steps through the process, examples, class activities and a worksheet for homework. Answer keys included.
For more practice with solving a system of linear and quadratic equations (including applications in word problems), I have a second lesson entitled, "Solving a System of Linear & Quadratic Equations, Pt. II" posted as well.
Common Core Standards for High School Algebra and High School Functions included on the cover page.