ALGRZ.MATH.5.E

Represent and solve systems of three linear equations arising from mathematical and real-world situations using matrices and technology.

Algebraic Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
systems of three linear equationsmatricesreal-world situationstechnology
Skills
  • represent (systems of three linear equations using matrices and technology) #dok2
  • solve (systems of three linear equations using matrices and technology) #dok3
  • model (real-world situations as systems of three linear equations) #dok2
  • interpret (the solution to a system of three linear equations in context) #dok3
Learning Targets
  • I can identify and write a system of three linear equations from a real-world situation. #dok1
  • I can describe the matrix representation of a system of three linear equations. #dok1
  • I can set up a system of three linear equations to solve a real-world problem. #dok2
  • I can represent a system of three linear equations as a matrix equation using appropriate technology. #dok2
  • I can use a matrix method to solve a system of three linear equations. #dok3
  • I can use technology to efficiently solve a system of three linear equations represented by matrices. #dok2
  • I can interpret the meaning of a solution to a system of three linear equations in terms of the original real-world context. #dok3
  • I can justify and evaluate the reasonableness of my solution to a system of three linear equations in a real-world context. #dok4
Big Ideas
  • Matrices provide an efficient way to represent and solve systems of equations, particularly when using technology.
  • Solving systems of three linear equations using matrices can connect mathematical procedures to real-world problem solving.
Essential Questions
  • How can you represent a system of three linear equations using a matrix?
  • In what real-world situations might you encounter systems of three linear equations?
  • What strategies and technology can you use to efficiently solve a system of three linear equations represented by matrices?
  • How do you interpret the solution to a system of three linear equations in the context of the original problem?
  • How do you know your solution to a system of three linear equations is reasonable in a real-world context?