CP+Sullivan,+Joseph

=Unit Cover Page=


 * Unit Title:** Reasoning with Equations and Inequalities **Grade Level(s):** High School
 * Subject/Topic Area(s):** Representing and solving equations and inequalities graphically
 * Key Words:** equations, inequalities, graphs, reasoning
 * Designed by:** Joe Sullivan **Time Frame:**
 * School District: School:**

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 * =Brief Summary of Unit= ||
 * During the progression of this unit, students will learn to reason with equalities and equations. This process will include reviewing how to graph equations, representing inequalities on number lines, solving systems of equations using a linear approach, as well as solving systems using a graphical method. By the end of the unit, students will understand that equations and inequalities can be solved graphically, everyday problems can be represented by equations or inequalities, and equations and inequalities are everywhere in the professional world. To understand these concepts, students will learn: definitions of graph, equation, inequality, greater than, less than, and equal; terminology such as x-axis, y-axis, shading, and/or; and critical details like setting up equations, setting equations equal to each other, designing a graph to represent systems of equations or inequalities, and number lines. Finally, as a result of this unit, students will be able to model systems of equations or inequalities and determine a solution, translate inequalities from statements into graphs, adapt graphing equations into real world practice, compare and contrast the differences between equations and inequalities, consider how one question can have multiple methods of solution, and recognize similarities between what they are learning and its application to the real world.