## Reflection: Real World Applications Operations with Matrices (2 of 2) - Section 2: Discovering Matrix Multiplication

When the students shared their reasoning on question 1 and 2 of How to Multiply Matrices activity, one student had an interesting way of organizing his work. The student stated he had made another matrix. To make sure I and the class understood the student presented the work to the class.  As you can see he had put the number of shoes on the left side of the switching brand matrix. He then multiplied the entries in each row by the number on the outside of the row to produce another matrix. After doing this he added the columns to get the final answer for each type of shoe.

This was interesting since the student showed a great understanding of multiplication and had used an organizational tool to help him organize his work.

As we moved to 2X2 matrices the student made a multiple matrices to produce the final result. The student was able to extend his reasoning and use it by adjusting his idea when the first matrix had multiple rows. For many of us that learned a process for doing matrices this seems very confusing but for this student it is logical and helped him understand. I questioned him about how he knows where to put his result and his comment was "If I am using the second row my answers will be in the second row of my final matrix.

Real World Applications: Student reasoning

# Operations with Matrices (2 of 2)

Unit 4: Matrices
Lesson 3 of 10

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

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3 teachers like this lesson
Standards:
Subject(s):
Math, Precalculus and Calculus, modeling, Matrices, Multiplying matrices
40 minutes

### Katharine Sparks

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