hyperbolas lesson3preview

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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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Page 1: Hyperbolas lesson3preview

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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