Standard Unwrapping

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Vocabulary
solutionssystems of two linear equationsvariablesgraphsreal-world problems
Skills
  • estimate (solutions to systems of two linear equations graphically) #dok2
  • interpret (graphs of systems of two linear equations in two variables) #dok2
  • apply (graphical estimation techniques to real-world systems of equations) #dok3
  • justify (reasonableness of estimated solutions in context) #dok3
Learning Targets
  • I can estimate the solution to a system of two linear equations by examining their graphs. #dok2
  • I can interpret where the graphs of two linear equations intersect as the solution to the system. #dok2
  • I can apply graphing methods to estimate solutions for systems of equations in real-world situations. #dok3
  • I can justify that my estimated solution is reasonable based on the given context. #dok3
Big Ideas
  • Graphing systems of linear equations provides a visual way to estimate where solutions occur.
  • Graphical estimation of solutions helps connect algebraic solution methods to real-world situations.
Essential Questions
  • How can you estimate the solutions to a system of two linear equations by looking at their graphs?
  • Why might it be helpful to use a graph to solve a system of equations in a real-world problem?
  • How can the intersection point of two lines on a graph be interpreted in context?
  • What strategies can you use to judge whether your estimated solution from a graph makes sense?