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Georgia Unit 5 Frameworks- Matrices All of Unit 5
Unit 5-1: Basic Matrix Operations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.N.VM.7: Multiply matrices by scalars to produce new matrices.

MGSE9-12.N.VM.8: Add, subtract, and multiply matrices of appropriate dimensions.

MGSE9-12.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.

MGSE9-12.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 5-2: Matrix Inverses & Determinants (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.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.

MGSE9-12.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.

MGSE9-12.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.

MGSE9-12.N.VM.12:Represent a system of linear equations as a single matrix equation in a vector variable.

MGSE9-12.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 5-3: Informational Matrices (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.N.VM.6:Use matrices to represent and manipulate data, e.g., transformations of vectors.

MGSE9-12.N.VM.7:
Multiply matrices by scalars to produce new matrices.

MGSE9-12.N.VM.8:
Add, subtract, and multiply matrices of appropriate dimensions.

Video Lessons: (p1, p2)

Sample Quiz:(Interactive, PDF) Unit 5-4 : Transformational Matrices (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.N.VM.6:Use matrices to represent and manipulate data, e.g., transformations of vectors.

MGSE9-12.N.VM.7:
Multiply matrices by scalars to produce new matrices.

MGSE9-12.N.VM.8:
Add, subtract, and multiply matrices of appropriate dimensions.

MGSE9-12.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.

Proof of General Rotation Matrix (PDF)

Video Lessons: (p1, p2, p3, p4, p5, p6)

Sample Quiz:(Interactive, PDF) Unit 5-4: Transformational Calc Project (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.N.VM.6:Use matrices to represent and manipulate data, e.g., transformations of vectors.

MGSE9-12.N.VM.7:
Multiply matrices by scalars to produce new matrices.

MGSE9-12.N.VM.8:
Add, subtract, and multiply matrices of appropriate dimensions.

MGSE9-12.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.

Video Lessons: (p1, p2, p3, p4) Unit 5-5: (Optional) Population Matrices (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.N.VM.6:Use matrices to represent and manipulate data, e.g., transformations of vectors.

MGSE9-12.N.VM.8: Add, subtract, and multiply matrices of appropriate dimensions.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF) Unit 5-6: (Optional) Markov Chains (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.N.VM.6:Use matrices to represent and manipulate data, e.g., transformations of vectors.

MGSE9-12.N.VM.8: Add, subtract, and multiply matrices of appropriate dimensions.

Video Lessons: (p1a, p1b, p2, p3)

Sample Quiz:(Interactive, PDF) TEST: Testing Item Banks for Exam View

(242 available questions for Unit 5) 