Lesson Plan

Solve a quadratic equation in one variable by the most efficient of four methods — factoring, square roots, completing the square, or the quadratic formula — chosen by inspecting the equation's structure before solving

Solve by factoring from standard form $ax^2 + bx + c = 0$, and explain from the zero-product property why the right side must be zero

Solve by taking square roots, producing both the positive and the negative root

Solve by completing the square (dividing by the leading coefficient first when it is not 1) and by the quadratic formula, leaving irrational roots in exact form

Recognize a double root and state what it means about the equation's factorization

"Make strategic use of algebraic structure, the properties of operations, and/or reasoning about equality to solve: • quadratic equations in one variable presented in a wide variety of forms." "Fluently solve quadratic equations in one variable, written as a quadratic expression in standard form, where using the quadratic formula or completing the square is the most efficient method for solving the equation." "• polynomial equations in one variable that are written in factored form."