Targets
- 5A. Evaluate trigonometric functions and expressions using the unit circle
- 5B. Use reference angles to evaluate trigonometric ratios given specific constraints
- 5C. Rigid and non-rigid transformations of sinusoids
- 5D. Evaluate inverse and composite trigonometric functions and expressions using the unit circle
Essential Questions
- What is the relationship between radian and degree measure?
- When do you use right triangle trigonometry and the unit circle to solve equations and evaluate expressions?
- How do you use special right triangle trigonometry to create unit circles?
- How do you use graphs to investigate sinusoids?
Extra Help Videos
- Watch PreCalculus Videos at: www.chaoticgolf.com/tutorials_pc.html or Khan Academy
Extra Online Resources
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Important Files
unit_5_goal_setting_self_assess.pdf | |
File Size: | 37 kb |
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2_blank_unit_circles.pdf | |
File Size: | 170 kb |
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1_large_trig_coordinate_plane.pdf | |
File Size: | 171 kb |
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6_small_trig_coordinate_planes.pdf | |
File Size: | 125 kb |
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precalculus_homework_grading_criteria.pdf | |
File Size: | 293 kb |
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Class Notes
4.1 Angles and Their Measure (Review)
What is a radian? Click here to see animation of the concept
4.1.1_angles_and_their_measures_guided_notes.pdf | |
File Size: | 480 kb |
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4.1.1_angles_and_their_measures_guided_notes_solutions.pdf | |
File Size: | 738 kb |
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Angular and linear speed notes are optional as review
4.1.2_angular_and_linear_speed.pdf | |
File Size: | 349 kb |
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4.1.2_angular_and_linear_speed_solutions.pdf | |
File Size: | 496 kb |
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4.2 Trig Functions of Acute Angles (Target 5A)
4.2.1_trig_functions_of_acute_angles_guided_notes.pdf | |
File Size: | 694 kb |
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4.2.1_trig_functions_of_acute_angles_guided_notes_solutions.pdf | |
File Size: | 981 kb |
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The Unit Circle (Review)
unit_circle_in_stages.pdf | |
File Size: | 222 kb |
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unit_circle_in_stages_filled_out.pdf | |
File Size: | 180 kb |
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blank_unit_circle_version_1.pdf | |
File Size: | 470 kb |
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blank_unit_circle_version_2.pdf | |
File Size: | 36 kb |
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2_blank_unit_circles.pdf | |
File Size: | 170 kb |
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unit_circle_filled_out.pdf | |
File Size: | 270 kb |
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trig_hand_jive.pdf | |
File Size: | 251 kb |
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Review 4.1, 4.2 & Unit Circle (Target 5A)
4.12_trig_review_stations.pdf | |
File Size: | 319 kb |
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4.12_trig_review_stations_solutions.pdf | |
File Size: | 1781 kb |
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Station 8: the radius for #50 is 2.604ft
4.3 Circular Functions (Target 5AB)
4.3.1_circular_functions_guided_notes.pdf | |
File Size: | 612 kb |
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4.3.1_circular_functions_guided_notes_solutions.pdf | |
File Size: | 720 kb |
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4.3.2_reference_angle_link_sheets.pdf | |
File Size: | 148 kb |
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4.3.2_reference_angle_link_sheets_solutions.pdf | |
File Size: | 490 kb |
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4.3.2_circular_functions_markerboard_activity.pdf | |
File Size: | 4459 kb |
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4.3.3_reference_angle_link_sheet_opener.pdf | |
File Size: | 221 kb |
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4.3.3_unit_circle_trig_functions_row_by_row.pdf | |
File Size: | 165 kb |
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4.3.3_unit_circle_trig_functions_row_by_row_solutions.pdf | |
File Size: | 634 kb |
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4.123.4_trig_review_scavenger_hunt.pdf | |
File Size: | 62 kb |
File Type: |
SEMESTER 2
4.4 Graphs of Sine and Cosine (Target 5C)
Introduction Videos
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4.4.1_basic_trigonometric_transformations.tns | |
File Size: | 35 kb |
File Type: | tns |
4.4.1_the_unit_circle_unwrapped.tns | |
File Size: | 48 kb |
File Type: | tns |
4.4.1_graphs_of_sinusoidal_functions_guided_notes.pdf | |
File Size: | 697 kb |
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4.4.1_graphs_of_sinusoidal_functions_guided_notes_solutions.pdf | |
File Size: | 966 kb |
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4.4.2_graphing_sinusoidal_functions_practice.pdf | |
File Size: | 184 kb |
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Graphing Sinusoidal Functions
1. Graph the parent function
2. Consider the amplitude & period
(if a is "-", it helps to reflect the graph over x-axis first)
3. Consider the phase shift
4. Consider the vertical shift
1. Graph the parent function
2. Consider the amplitude & period
(if a is "-", it helps to reflect the graph over x-axis first)
3. Consider the phase shift
4. Consider the vertical shift
4.4.2_graphing_sinusoidal_functions_practice_solutions.pdf | |
File Size: | 1167 kb |
File Type: |
The last problem (graph) in the solutions above should be shifted π/3 to the right (2 squares) but it's only shifted π/6 to the right (1 square)
4.4.3_writing_sinusoidal_functions_practice.pdf | |
File Size: | 118 kb |
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4.4.3_writing_sinusoidal_functions_practice_solutions.pdf | |
File Size: | 784 kb |
File Type: |
Last problem in the solutions above: amplitude is 0.75, not 1.5
4.4.3_pa5-7_graphing_practice.pdf | |
File Size: | 45 kb |
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4.4.3_pa5-7_graphing_practice_solutions.pdf | |
File Size: | 905 kb |
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4.4.3_writing_sinusoidal_equations_additional_practice.pdf | |
File Size: | 152 kb |
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4.4.3_writing_sinusoidal_equations_additional_practice_solutions.pdf | |
File Size: | 117 kb |
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mustang_race_midunit_review_with_answers.pdf | |
File Size: | 252 kb |
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mustang_race_midunit_review_with_selected_solutions.pdf | |
File Size: | 282 kb |
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4.5 Graphs of Tan, Cot, Sec, and Csc (Optional)
4.5.1_graphs_of_tancotseccsc_guided_notes.pdf | |
File Size: | 394 kb |
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4.5.1_graphs_of_tancotseccsc_guided_notes_solutions.pdf | |
File Size: | 721 kb |
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Front page: V.A. for y=csc(x) & y=cot(x) should be: x=0,±pi, ±2pi,...,kpi, where k is an integer
Back page: 5) Another transformation is horizontal shrink by a factor of 1/5
6) Another transformation is horizontal stretch by a factor of 3
7) Two other transformations are vertical stretch by a factor of 2 & horizontal shrink by a factor of 1/3
8) Another transformation is horizontal shrink by a factor of 1/2
Back page: 5) Another transformation is horizontal shrink by a factor of 1/5
6) Another transformation is horizontal stretch by a factor of 3
7) Two other transformations are vertical stretch by a factor of 2 & horizontal shrink by a factor of 1/3
8) Another transformation is horizontal shrink by a factor of 1/2
4.7 Inverse Trig Functions (Target 5D)
4.7.1_inverse_trig_guided_notes.pdf | |
File Size: | 574 kb |
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4.7.1_inverse_trig_guided_notes_solutions.pdf | |
File Size: | 784 kb |
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4.7.1_inverse_trig_practice.pdf | |
File Size: | 291 kb |
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4.7.1_inverse_trig_practice_solutions.pdf | |
File Size: | 384 kb |
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4.8 Solving Problem with Trigonometry (Target 5D)
4.8.1_solving_problems_with_trig_guided_notes.pdf | |
File Size: | 658 kb |
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4.8.1_solving_problems_with_trig_guided_notes_solutions.pdf | |
File Size: | 1015 kb |
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Unit 5 Review (ALL Targets)
key_concept_5_review.pdf | |
File Size: | 558 kb |
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key_concept_5_review_solutions.pdf | |
File Size: | 730 kb |
File Type: |
key_concept_5_stations_review.pdf | |
File Size: | 328 kb |
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key_concept_5_stations_review_solutions.pdf | |
File Size: | 1475 kb |
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