This is a learning progression for a high school algebra II class covering concepts of graphing systems of equations and inequalities. This math concept is inexorably linked to solving systems of equations and inequalities algebraically, so students will be utilizing concepts of solving systems in the tasks of this progression as well. At the beginning of the progression, students have the mathematical skills to manipulate and solve a function of one or two variables. As they learn the skills to algebraically solve systems of linear equations, and then nonlinear systems, including inequalities, they will learn how to both interpret and create a graph of the system and how to deduce solutions from the graphs.
Learning progression – graphing systems