Learning goals: Teacher Facing Apply the distributive property to multiply two sums or two differences, using a rectangular diagram to illustrate the distribution as needed. Generalize the relationship between equivalent quadratic expressions in standard form and factored form, and use the generalization to transform expressions from one form to the other. Use a diagram to represent quadratic expressions in different forms and explain (orally and in writing) how the numbers in 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.