Standard Unwrapping

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Vocabulary
systems of two linear equationstwo variablescoordinate planesolutions
Skills
  • graph (systems of two linear equations in two variables on the coordinate plane) #dok2
  • determine (solutions to systems of two linear equations in two variables) #dok2
  • analyze (the intersection points of graphed lines representing systems) #dok2
Learning Targets
  • I can graph systems of two linear equations in two variables on the coordinate plane. #dok2
  • I can determine the solution to a system of two linear equations by identifying the point of intersection. #dok2
  • I can analyze whether a system of two linear equations has one solution, no solution, or infinitely many solutions based on the graph. #dok2
Big Ideas
  • The intersection of two linear equations on a coordinate plane represents the solution to the system.
  • Graphing can visually demonstrate whether a system of equations has one, none, or infinitely many solutions.
Essential Questions
  • How can you graph a system of two linear equations on the coordinate plane?
  • What does the point where two lines intersect represent when graphing a system of equations?
  • How can you tell from the graph if a system of equations has one solution, no solution, or infinitely many solutions?
  • In what situations might graphing be a helpful strategy for solving systems of equations?
  • How do the characteristics of the lines (parallel, coincident, intersecting) affect the number of solutions to a system?