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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)
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| 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)
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| 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)
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| 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.
Geometer's Sketchpad Animation Transformations
Proof of General Rotation Matrix (PDF)
Video Lessons: (p1, p2, p3, p4, p5, p6)
Sample Quiz:(Interactive, PDF)
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| 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)
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| 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)
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| 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)
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| TEST: |
Testing Item Banks for Exam View
(242 available questions for Unit 5)
Password Required
ExamView Video Instructions (How To Make a Test)
Authors: Matt Winking |
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GO TO UNIT 6 |
