Matrix Solutions to Linear Systems

This Matrix Solutions to Linear Systems presentation also includes:

The emphasis is on the mechanics of matrix reduction in this problem set and presentation. Clear steps and a summary of method directions open the student notes, followed by six problems that walk learners through Gaussian and Gauss-Jordan elimination methods. The presentation resource attached follows along with these problems, providing step-by-step solutions. A great resource for a skills-practice or group remediation lesson!

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CCSS: Adaptable
Instructional Ideas

  • Consider using this activity in a flipped-classroom by assigning reading and videos about Gauss-Jordan elimination for homework the night before the lesson
  • Try breaking apart the problems and using as review or bell ringers after teaching elimination to the class
  • Assign learners different methods for completing problems, then have them pair off and compare solutions and processes
Classroom Considerations

  • Consider copying provided presentation into an interactive whiteboard software where each step is revealed in turn
  • Student worksheet and notes that support the main presentation resource are provided in the additional resources
Pros

  • Matched teacher presentation and student worksheet
  • Summary steps provided to students for reference while working the problems
  • Scaffolded problems increase in difficulty as learners gain experience and confidence
Cons

  • No teaching notes or methods provided