Targets
4A. Investigate the geometric properties of parabolas (vertex, focus, and directrix)
4B. Derive the standard equation of a parabola and graph given two or three criterion
4C. Investigate the geometric properties of ellipses (vertices, foci, major/minor axes, and pythagorean relation)
4D. Derive the standard equation of an ellipse and graph given two or three criterion
4E. Investigate the geometric properties of hyperbolas (vertices, foci, transverse/conjugate axes, asymptotes, and pythagorean relation)
4F. Derive the standard equation of a hyperbola and graph given two or three criterion
4B. Derive the standard equation of a parabola and graph given two or three criterion
4C. Investigate the geometric properties of ellipses (vertices, foci, major/minor axes, and pythagorean relation)
4D. Derive the standard equation of an ellipse and graph given two or three criterion
4E. Investigate the geometric properties of hyperbolas (vertices, foci, transverse/conjugate axes, asymptotes, and pythagorean relation)
4F. Derive the standard equation of a hyperbola and graph given two or three criterion
Essential Questions
- Using their respective criterion, how do you graph conic sections?
- Given characteristics or graphs of conic sections, how does one write the respective equations?
- How do you identify conic sections from their equations?
Extra Help Videos/Resources
- Watch PreCalculus Videos at: www.chaoticgolf.com/tutorials_pc.html or Khan Academy
- Conics
Intro to Conic Sections and Parabola Construction
Important Files
unit_4_goal_setting_self_assess.pdf | |
File Size: | 38 kb |
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precalculus_homework_grading_criteria.pdf | |
File Size: | 293 kb |
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Class Notes
8.1 Intro to Conic Sections and Parabolas (Target 4AB)
8.1.1_circles_and_parabolas_guided_notes.pdf | |
File Size: | 730 kb |
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8.1.1_circles_and_parabolas_guided_notes_solutions.pdf | |
File Size: | 1185 kb |
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8.1/8.2/8.3 Graphing Conics Using Nspire Technology (Target 4ACE)
8.123.1_using_nspire_to_graph_conics_guided_notes.pdf | |
File Size: | 446 kb |
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8.123.1_using_nspire_to_graph_conics_guided_notes_solutions.pdf | |
File Size: | 528 kb |
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8.2/8.3 Intro to Ellipses and Hyperbolas (Target 4CDEF)
Check out The Guardian article on the science & math behind the November 14, 2016 supermoon. Wild ellipses!
8.23.1_intro_ellipse_and_hyperbola.tns | |
File Size: | 5 kb |
File Type: | tns |
8.23.1_ellipses_and_hyperbolas_intro_guided_notes.pdf | |
File Size: | 424 kb |
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8.23.1_ellipses_and_hyperbolas_intro_guided_notes_solutions.pdf | |
File Size: | 739 kb |
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8.1/8.2/8.3 Parabolas, Ellipses and Hyperbolas (Target 4ABCDEF)
8.123_conic_sections_interactive.pdf | |
File Size: | 352 kb |
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8.123_hw_conics_handout_2019.pdf | |
File Size: | 155 kb |
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8.123_hw_conics_handout_solutions.pdf | |
File Size: | 351 kb |
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The eccentricity in problem #10 is e=1.327.
8.2/8.3 Ellipses & Hyperbolas (Target 4ACE)
8.23.2_web_opener_ellipse.pdf | |
File Size: | 237 kb |
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8.23.2_web_opener_ellipse_solutions.pdf | |
File Size: | 147 kb |
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8.23.2_web_opener_hyperbola.pdf | |
File Size: | 191 kb |
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8.23.2_web_opener_hyperbola_solutions.pdf | |
File Size: | 498 kb |
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8.23.2_conics_on_the_web.pdf | |
File Size: | 240 kb |
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8.1/8.2/8.3 Graphing Conic Sections by Hand (Target 4ACE)
8.123.2_graphing_conics_by_hand_key_features_list.pdf | |
File Size: | 91 kb |
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8.123.2_graphing_conics_by_hand_guided_notes.pdf | |
File Size: | 447 kb |
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8.123.2_graphing_conics_by_hand_guided_notes_solutions.pdf | |
File Size: | 804 kb |
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hw4.6_graph_paper.pdf | |
File Size: | 307 kb |
File Type: |
8.1/8.2/8.3 Equations of Conic Sections (Target 4ABCE)
8.123.3_writing_conic_section_equations_row_by_row.pdf | |
File Size: | 155 kb |
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8.123.3_writing_conic_section_equations_row_by_row_solutions.pdf | |
File Size: | 787 kb |
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8.123.3_conic_sections_sort.pdf | |
File Size: | 547 kb |
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8.1/8.2/8.3 Understanding Graphs of Conic Sections (Target 4BDF)
8.123.4_turkeys_revenge_trail.pdf | |
File Size: | 436 kb |
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8.123.4_turkeys_revenge_trail_solutions.pdf | |
File Size: | 357 kb |
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8.1/8.2/8.3 Practical Applications of Conic Sections (Target 4ACE)
8.123.5_practical_applications_of_conics_guided_notes.pdf | |
File Size: | 286 kb |
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8.123.5_practical_applications_of_conics_guided_notes_solutions.pdf | |
File Size: | 664 kb |
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8.123.6_conics_link_sheet.pdf | |
File Size: | 27 kb |
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8.123.6_conics_link_sheet_solutions.pdf | |
File Size: | 199 kb |
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Check it out! A real-world example of hyperbolic trajectory (see #55 on p. 601)
8.1/8.2/8.3 Working With Conic Sections in General Form (Target 4ACE)
Quiz yourself! From General Form to Standard Form: Quizmaster
8.123.7_general_form_of_conics_guided_notes.pdf | |
File Size: | 319 kb |
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8.123.7_general_form_of_conics_guided_notes_solutions.pdf | |
File Size: | 614 kb |
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Key Concept 4 STEM Lab
Examples of Swinging Ellipses Data
key_concept_4_swinging_ellipses_vernier_lab.pdf | |
File Size: | 693 kb |
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Key Concept 4 Review (ALL Targets)
kc_4_check_your_understanding.pdf | |
File Size: | 149 kb |
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key_concept_4_review.pdf | |
File Size: | 343 kb |
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key_concept_4_review_solutions.pdf | |
File Size: | 852 kb |
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conics_rally_coach_with_answers.pdf | |
File Size: | 62 kb |
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conics_rally_coach_solutions.pdf | |
File Size: | 580 kb |
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