Matrices

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This accessible presentation presents the basics of matrices, from vocabulary through addition, subtraction, and scalar multiplication. With particular emphasis on positives and negatives, this method introduces learners to this useful way to organize and manipulate data. Each feature includes several examples with the arithmetic performed step by step and thoroughly explained. A great addition to your matrix curriculum or remediation for the confused learner.

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CCSS: Designed
Instructional Ideas

  • Link to the video on the class website for pre-class viewing in a flipped classroom model or for individual on-demand remediation while learners complete homework after class
  • Have the class become a matrix, particularly if desks are in rows and columns. Each person is an element and is assigned a number. Apply operations to the class and have each learner calculate their new value
  • Present lists of demographic data and have the class brainstorm how to represent and perform calculations on the data more clearly in matrices
  • Link with a physics unit on vectors and scalar multiplication of vectors
Classroom Considerations

  • Video viewing requires both access to the Internet and YouTube's streaming service
  • Consider pausing each problem before the solution is worked, allowing for seatwork and questions
  • Adding and subtracting matrices of different sizes is mentioned as forbidden, but no examples are given. This might require more explanation for a concrete-minded class
  • Some pupils may figure out how to perform the operations on the calculator
Pros

  • Pleasant and easily understood narration
  • Each concept introduced with two examples, with different features emphasized
  • No prior knowledge of matrices assumed, as the lesson begins with basic vocabulary
  • Common pitfalls, particularly those involving sign errors, are carefully explained and worked
Cons

  • No printable slides or note sheets made available
  • Presentation given without follow-up problems for guided practice