Learning goals: Teacher Facing Recognize the limitations of certain strategies used to solve a quadratic equation. Understand that the factored form of a quadratic expression can help us find the zeros of a quadratic function and solve a quadratic equation. Write quadratic equations and reason about their solutions in terms of a situation. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.7 Quadratic Equations, Algebra 1.