Learning goals: Teacher Facing Apply the distributive property to multiply a sum and a difference, using a diagram to illustrate the distribution as needed. Given a quadratic expression of the form $x^2+bx+c$, where $c$ is negative, write an equivalent expression in factored form. When multiplying a sum and a difference, explain (orally and in writing) how the numbers and signs of the factors relate to the numbers in the product. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.7 Quadratic Equations, Algebra 1.