Learning goals: Teacher Facing Coordinate (orally) graphs with no horizontal intercepts, quadratic functions with no (real) zeros, and quadratic equations with no (real) solutions. Describe (orally and in writing) the relationship between the solutions to quadratic equations of the form $\text {expression}=0$ and the horizontal intercepts of the graph of the related function. Explain (orally and in writing) why dividing each side of a quadratic equation by a variable is not a reliable way to solve the equation. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.7 Quadratic Equations, Algebra 1.