HS3+Guiding+Questions

Questions for **KCK Standard AG30207: Find the determinant of a 2 x 2 or 3 x 3 matrix and use this to apply Cramer’s Rule to solve a system of equations (ACT)**
 * Using 21st century literacy skill: Communication/Collaboration.**

What are some ways that the students can learn determinants of 2x2 and 3x3 matrices on their own and teach it to or share with their peers?

Are there collaborative activities that students can do to connect the concept of 2x2 determinants with 3x3 determinants?

What are the advantages of the "cofactor" method vs. the "basket-weave" method for a 3x3 determinant? - How can we get students to describe their preference between the two methods, and why they made that preference? - Make them the "owner" of that method and try to "sell" it to the other students.

How can teachers explain why Cramer's Rule is usually a better method of solving systems than the "traditional" three (substitution, graphing, elimination)?

Which real-world applications are most effective for getting students to practice and learn the methods? - are there applications that require collaboration among students (ie - projects) to solve?

Which other standards/knowledge need to be included in a project application to allow us enough time to present it properly? - if the standards require a lot of practice before they start the project, is the project necessary, or is it a waste of our limited time?