Reflection: Connection to Prior Knowledge Operations with Matrices (2 of 2) - Section 3: More Multiplication


Students were able to determine that multiplying these matrices was not possible. In each class students would say if we switched them around it is possible. This is a great foreshadowing of the next lesson.  When students made this comment I returned to the 2X2 times 2X2 the class worked on earlier. I asked "If we switch these 2 matrices will we get the same result?"
After a few moments a student would say no. "Why will it be different?" Students comment that we are multiplying a different row with the column.

In one class a student commented that the "associative property" is not true in matrices. This student had mixed up the associative property with the commutative property which we will address in the next lesson. My last question was "What is something that is important when multiplying matrices?" Students responded with the columns of the first matrix must equal the rows of the second matrix and order of matrices is important.

  Connection to Prior Knowledge: Noticing structure
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Operations with Matrices (2 of 2)

Unit 4: Matrices
Lesson 3 of 10

Objective: SWBAT multiply matrices.

Big Idea: How can multiplying matrices be used to analyze data?

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Math, Precalculus and Calculus, modeling, Matrices, Multiplying matrices
  40 minutes
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