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Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning

Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning
Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning
Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning
Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning
Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning
Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning
Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning
Linear Algebra PD Presentation - Cramer's Rule, 3X3 system, spatial reasoning
File Type

PDF

(160 KB|5 pages)
Product Description

This is a presentation I gave at a math department meeting to both review necessary content for the upcoming units and get the department thinking about the deeper geometric meaning of what the calculations are doing. It was well-received so I thought I would share it. It can be scavenged for your own PD or department meeting or be a source of discussion questions for a Precalc Honors class or just for your own development as an educator. Take whatever you want from it.

I included copious notes, anticipated questions and responses, as well as in-depth explanations. The key to success is preparation. As always, my goal is to make you look like a superstar.

Topics:

3X3 linear systems

row reduction, rref

Cramer's Rule

cross product

spatial reasoning

connecting new material in 3D to intuition from 2D knowledge

wedge product, differential geometry

Total Pages
5 pages
Answer Key
N/A
Teaching Duration
90 minutes
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