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Georgia:


All of Unit 6 
Unit 61: 
Systems of Linear Equations (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions (integer inputs only).
MGSE912.A.CED.3 Represent constraints by equations or inequalities, and by systems of equation and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a nonsolution) under the established constraints.
Video Lessons: (p1, p2, p3, p4, p5a, p5b)
Sample Quiz:(Interactive, PDF)


Unit 62: 
Systems of Linear Inequalities (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions (integer inputs only).
Video Lessons: (p1, p2, p3, p4a, p4b)
Geometer's Sketchpad: (p4 Model)
Sample Quiz:(Interactive, PDF)


Unit 63: 
Solving Equations by Graphing (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.A.REI.11 Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the xvalue where the yvalues of f(x) and g(x) are the same.
Video Lessons: (p1, p2)
Sample Quiz:(Interactive, PDF) 

Unit 64: 
Basic Matrix Operations (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.N.VM.7: Multiply matrices by scalars to produce new matrices.
MGSE912.N.VM.8: Add, subtract, and multiply matrices of appropriate dimensions.
MGSE912.N.VM.10:Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
MGSE912.N.VM.9:Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.
Video Lessons: (p1, p2, p3, p4a, p4b, p4c)
Visualizing Multiplication of Matrices:
Chart Method, Train Method
Sample Quiz:(Interactive, PDF)


Unit 65: 
Matrix Inverses & Determinants (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.N.VM.10:Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
MGSE912.N.VM.9:Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.
MGSE912.N.VM.12:Work with 2 X 2 matrices as transformations of the plane and interpret the absolute value of the determinant in terms of area.
MGSE912.N.VM.12:Represent a system of linear equations as a single matrix equation in a vector variable.
MGSE912.A.REI.9:Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).
Geometer's Sketchpad Animation:
Area of the Parallelogram
Video Lessons: (p1, p2, p3, p4)
Sample Quiz:(Interactive, PDF)


Unit 66: 
Informational Matrices (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.N.VM.6:Use matrices to represent and manipulate data, e.g., transformations of vectors.
MGSE912.N.VM.7: Multiply matrices by scalars to produce new matrices.
MGSE912.N.VM.8:Add, subtract, and multiply matrices of appropriate dimensions
Video Lessons: (p1, p2)
Sample Quiz:(Interactive, PDF)


Unit 67: 
Transformational Matrices (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.N.VM.6:Use matrices to represent and manipulate data, e.g., transformations of vectors.
MGSE912.N.VM.7: Multiply matrices by scalars to produce new matrices.
MGSE912.N.VM.8:Add, subtract, and multiply matrices of appropriate dimensions.
MGSE912.N.VM.12:Work with 2 X 2 matrices as transformations of the plane and interpret the absolute value of the determinant in terms of area.
Geometer's Sketchpad Animation Transformations
Proof of General Rotation Matrix (PDF)
Video Lessons: (p1, p2, p3, p4, p5, p6)
Sample Quiz:(Interactive, PDF)


TEST: 
Testing Item Banks for Exam View
(371 available questions for Unit 6)
Password Required
ExamView Video Instructions (How To Make a Test)
Author: Matt Winking & Walt Henry


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