Learning goals: Teacher Facing Determine whether a system of equations will have 0, 1, or infinitely many solutions by analyzing their structure or by graphing. Recognize that a system of linear equations can have 0, 1, or infinitely many solutions. Use the structure of the equations in a linear system to make sense of the properties of their graphs. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.2 Linear Equations, Inequalities, and Systems, Algebra 1.