Post on 18-Aug-2015
transcript
May 25, 2015
Aim: How do we graph the hyperbola with the center at (h, k)? ... How do we determine key parameters of the hyperbola?
Homework 61: Finish Worksheet probs for ELLIPSES and HYPERBOLAS.
CCSS G-GPE 3: Hyperbola
DO NOW: Determine the equation of the ellipse given that the center is at (3, -2) and one vertex is at (3, 3) and the co-vertex is at (1, -2). Evaluate its eccentricity value e.
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Do Now Problem(s) 5-7 min
Motivation 2-3 min
Development 10-15 min
Group Work Activities 15-18 min
Wrap-up, Summary 5 min
(Exit Slips)
Lesson Agenda:
Lesson Duration: 45 min
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Like ellipses, Hyperbolas are ALSO everywhere!
What are some examples?
Architecture, Seismographs, Cell phone systems, Explosion detection, Navigation,
Asteroids & Comets
http://mrfonz.wikispaces.com/MPS22-07+PRECALCULUS+%28Period+7%29+Lessons
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Hyperbolas: PPT Presentations,
Simulations (Visualization)
Hyperbolas.ppt Chapter 7.4 Hyperbola.ppt
KEY-PRECALCULUS-DOCS 10-3Hyperbolas1.docx
https://www.desmos.com/calculator/eywumbtcfs
https://www.desmos.com/calculator/lby6kqxzus
https://www.desmos.com/calculator/xkf7bhrw3a
https://www.desmos.com/calculator/7nkzzlshmb
_______Precal_9_3_Hyperbolas_ppt.pdf
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Key Parameters / Characteristics of Figure (conic, ...)
Problem Patterns (General Overview)
Standard Equations of Figure (conic, function...)
Graph of Figure
(conic, function...)
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Example Problem: Graph the Hyperbola given by the equation below. Find the center, vertices, transverse axis, conjugate axis, and asymptotes (i.e., the equations for the asymptotes) [IN THIS ORDER].
Related ellipse:
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Group Work: Students are to get into your assigned groups and discuss the worksheet problems 1-4 and 9-12. After a predetermined time, selected group members will report back to the class.
Summary
Exit Slips
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