Day 148: Determinants to Find Area, Really?!

Today we looked at how determinants of matrices can actually be of use beyond solving matrix equations.  One interesting application is using the determinant of 3 points to find the area of any coordinatized triangle.  You can see the two examples we did to use the formulaarea determinant.  It was a great way to review the process of finding the determinant of a 3×3 matrix.

20150428_125940

However, my students wanted to know WHY this process worked.  I was so thrilled with their question and so I gave them a couple of days to think about the “why” of the method.  After a night of thinking, we began to explore the problem.  I simply scribed for the class as they thought through the relationship.  It is a nice way to connect geometry and algebra in an interesting and unexpected way!

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Posted on April 28, 2015, in Uncategorized and tagged , , . Bookmark the permalink. Leave a comment.

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