Unit 4: Concurrency and Systems

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Essential Questions: 
  • What special segments in triangles are concurrent?
  • How can we use algebraic methods to prove that lines are concurrent?
  • How can we extend our understanding of solving systems of equations to three dimensions?
  • How can we apply our knowledge of systems to solve optimization problems?
Content: 
  • Triangle concurrency problems and proofs
  • Systems of linear and non-linear equations
  • Intersection of two planes
  • Absolute value inequalities
  • Systems of inequalities
  • Linear programming
Skills and Processes: 
  • Solve systems of linear and non-linear equations
  • Prove given sets of lines are concurrent
  • Solve linear programming problems
  • Use technology to visualize and explore the intersection of planes in space