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A detailed guided notes packet which includes a paragraph introduction to the topic, a worked out example of the procedureal task and many excerise examples that you can do with your students in class.
Section 1: Introduction to Systems as common solutions to graphs, Solve two-equation linear systems using graphing, inconsistent systems of parallel lines and identical lines.
Section 2: Solving two-equation linear systems using substitution and elimination, Applications of two-equation linear systems, brief introduction to a three-equation system and solving using elimination.
Section 3: Introduction to matrices, operations on Matrices (addition, subtraction, scalar and matrix multiplication,) Applied problem with matrice operations.
Section 4: Defining the indentiy matrix, Solving two-equation linear systems with matrices using row operations, Inconsistent systems in a matrix. Brief dicussion of three-equation system solved with row operations.
Section 5: Introduction of the determinant, finding the inverse of a matrix by using the determinant. (note: finding the inverse using row operations is not covered.) Solving two-equation linear systems with matrices inverses and matrix multiplication. Inconstistent system example.
Section 6: Solving two-equation linear systems with matrices using Cramer's Rule. Proof of Cramer's rule explained. Inconsitent system example. Applications of a system using any method for solving.