Targets
- 8A. Perform vector operations: scalar multiple and sums and represent them graphically.
- 8B. Perform vector operations: magnitude, direction angle, and unit vector.
- 8C. Calculate and use properties of the Dot Product.
- 8D. Apply properties of vectors to real life situations.
- 8E. Represent a system of linear equations in matrix equation form
- 8F. Find the inverse of a matrix, if it exists, and use it to solve systems of linear equations (using technology for matrices of dimensions 3x3 or greater)
- 8G. Decompose rational expressions into partial fractions
Essential Question
- How do you perform basic vector operations and represent vectors graphically?
- How do you determine the angles between two vectors?
- How do you use vectors to model real world situations?
Extra Help Videos
- Watch PreCalculus Videos at: http://www.chaoticgolf.com/tutorials_pc.html or Khan Academy
Extra Online Resources
- Intro to Matrices Online Notes
- Trick for Multiplying Matrices
- Determinant of a Matrix Online Notes
- Various Matrix Topics
- Inverse of a Matrix Online Notes
- Methods of Inverse of a Matrix
- More on Matrix Inverses Online Notes
- ref vs. rref
- Partial Fraction Decomposition Online Notes
- Partial Fraction Decomposition More Online Notes
- Partial Fraction Decomposition Some More Online Notes
- Partial Fraction Decomposition Videos
- Partial Fraction Decomposition More Online Videos
- Vector Operations Online
- More on Vectors
- Mathguide.com: Vector Lessons & Videos
Important Files
unit_8_hw_solutions.pdf | |
File Size: | 9205 kb |
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unit_8_goal_setting_self_assess.pdf | |
File Size: | 366 kb |
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precalculus_homework_grading_criteria.pdf | |
File Size: | 293 kb |
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Class Notes
7.2 Operations on Matrices (Target 8E)
7.2.1_add_subtract_multiply_matrices_guided_notes.pdf | |
File Size: | 279 kb |
File Type: |
7.2.1_add_subtract_multiply_matrices_guided_notes_solutions.pdf | |
File Size: | 415 kb |
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7.2.1_operations_on_matrices_tinspire_activity.pdf | |
File Size: | 311 kb |
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7.2.1_operations_on_matrices_tinspire_activity_solutions.pdf | |
File Size: | 472 kb |
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7.2 Inverses, Identity Matrices, & Determinants (Target 8F)
7.2.2_finding_3x3_determinants_examples_by_hand.pdf | |
File Size: | 297 kb |
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7.2.2_inverse_determinant_guided_notes.pdf | |
File Size: | 198 kb |
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7.2.2_inverse_determinant_guided_notes_solutions.pdf | |
File Size: | 319 kb |
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7.2.2_matrix_algebra_practice_worksheets.pdf | |
File Size: | 245 kb |
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7.2.2._matrix_algebra_practice_worksheets_solutions.pdf | |
File Size: | 1125 kb |
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7.3 Solving Systems of Equations Using Matrices (Target 8F)
7.3.1_solve_systems_of_equations_guided_notes.pdf | |
File Size: | 471 kb |
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7.3.1_solve_systems_of_equations_guided_notes_solutions.pdf | |
File Size: | 579 kb |
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7.3.2_solving_matrices_worksheet.pdf | |
File Size: | 318 kb |
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7.3.2_solving_matrices_worksheet_solutions.pdf | |
File Size: | 1492 kb |
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7.3.3_solve_systems_of_equations_using_rref_guided_notes.pdf | |
File Size: | 278 kb |
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7.3.3_solve_systems_of_equations_using_rref_guided_notes_solutions.pdf | |
File Size: | 411 kb |
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7.3 Partial Fractions (Target 8G)
7.3.4_partial_fraction_decomposition_guided_notes.pdf | |
File Size: | 261 kb |
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7.3.4_partial_fraction_decomposition_guided_notes_solutions.pdf | |
File Size: | 503 kb |
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7.3.5_partial_fraction_decomposition_more_examples.pdf | |
File Size: | 213 kb |
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7.3.5_partial_fraction_decomposition_more_examples_solutions.pdf | |
File Size: | 844 kb |
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7.3.5_partial_fractions_handout.pdf | |
File Size: | 123 kb |
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7.3.5_partial_fractions_handout_answers.pdf | |
File Size: | 126 kb |
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7.3.5_mountain_climber.pdf | |
File Size: | 342 kb |
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7.3.5_mountain_climber_solutions.pdf | |
File Size: | 81 kb |
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6.1 Vectors in the Plane (Targets 8AB)
6.1.1_intro_to_vectors_guided_notes.pdf | |
File Size: | 396 kb |
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6.1.1_intro_to_vectors_guided_notes_solutions.pdf | |
File Size: | 719 kb |
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6.1.1_vector_addition_tail_to_head_rule.pdf | |
File Size: | 39 kb |
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6.1.2_unit_vector_and_direction_angles_guided_notes.pdf | |
File Size: | 363 kb |
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6.1.2_unit_vector_and_direction_angles_guided_notes_solutions.pdf | |
File Size: | 643 kb |
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6.2 Dot Product of Vectors (Target 8C)
6.2.1_dot_product_of_vectors_guided_notes.pdf | |
File Size: | 301 kb |
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6.2.1_dot_product_of_vectors_guided_notes_solutions.pdf | |
File Size: | 543 kb |
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6.2.2_work_force_guided_notes.pdf | |
File Size: | 147 kb |
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6.2.2_work_force_guided_notes_solutions.pdf | |
File Size: | 359 kb |
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6.2.3_dot_product_and_work-force_practice.pdf | |
File Size: | 171 kb |
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6.2.3_dot_product_and_work-force_practice_solutions.pdf | |
File Size: | 1459 kb |
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Key Concept 8 Review (ALL Targets)
key_concept_8_review.pdf | |
File Size: | 628 kb |
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key_concept_8_review_solutions.pdf | |
File Size: | 734 kb |
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The answer to problem #20 should be: Force = 2345sin(7) = 285.784lbs
key_concept_8_markerboard_vector_review_and_answers.pdf | |
File Size: | 655 kb |
File Type: |
SAT Test