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This Concept Map, created with IHMC CmapTools, has information related to: Sytems of Linear Equations Draft 2, Graphing allows for Students interpret visual representations of a system of linear equations., Students solve a system of linear equations Using the methods Elimination, Students interpret visual representations of a system of linear equations. Relationship between the two lines Two lines intersect at all points, Students interpret visual representations of a system of linear equations. Relationship between the two lines Two lines intersect at one point, Necessary Prior Knowledge Students need to know How to solve an equation in one variable, Check for Understanding algebraically Choosing the Best Method, Students interpret visual representations of a system of linear equations. Relationship between the two lines Two lines do not intersect, Purpose nature of math Many concepts in math can be represented in different ways (i.e. algebraically, graphically), Choosing the Best Method when is each appropriate? Students solve a system of linear equations, Check for Understanding application Analyze a situation and write a system for solving a real world problem, Check for Understanding visually Interpret Graphs, Necessary Prior Knowledge Students need to know How to write an equation for a problem involving an unknown, Students interpret types of solutions to a system of linear equations. Types Infinintely many solutions, Students interpret types of solutions to a system of linear equations. Types No solution, Purpose real-life Many problems involve a realtionship between two variables (i.e. time & money), Students solve a system of linear equations Using the methods Substitution, System of Two Linear Equations PRE Necessary Prior Knowledge, Students solve a system of linear equations Using the methods Graphing, System of Two Linear Equations POST Check for Understanding, System of Two Linear Equations DURING Students interpret visual representations of a system of linear equations.