Math Lesson - Hyperbolas 3

1. 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.

2. May 25, 2015
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

3. May 25, 2015
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...)

21. May 25, 2015
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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