Learning goals: Teacher Facing Analyze and explain (orally and in writing) the steps for completing the square and understand how they transform a quadratic expression from standard to vertex form. Identify the vertex of a graph of a quadratic function when the expression that defines it is in vertex form. Write equivalent quadratic expressions in vertex form by completing the square. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.7 Quadratic Equations, Algebra 1.