Warmup alg 2 16 april 2012
This presentation is the property of its rightful owner.
Sponsored Links
1 / 18

Warmup Alg 2 16 April 2012 PowerPoint PPT Presentation


  • 159 Views
  • Uploaded on
  • Presentation posted in: General

Warmup Alg 2 16 April 2012. Agenda. Don't forget about resources on mrwaddell.net Section 9.1: Intro to Conic Sections Distance and midpoint formula Recognizing Conic Sections. Section 9.1: Introduction to Conic Sections. What are Conic Sections?. Where are Conic Sections found?.

Download Presentation

Warmup Alg 2 16 April 2012

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


WarmupAlg216 April 2012


Agenda

  • Don't forget about resources on mrwaddell.net

  • Section 9.1: Intro to Conic Sections

    • Distance and midpoint formula

    • Recognizing Conic Sections


Section 9.1: Introduction to Conic Sections


What are Conic Sections?


Where are Conic Sections found?

The St. Louis Arch is an example of sort of a parabola.


Where are Conic Sections found?

Ferris wheels are circular. They were also invented by George Ferris, who lived in Carson City for a while (and whose father was a founder of Knox College where I went to college!)


Where are Conic Sections found?

St. Paul’s Cathedral, the Washington Capitol and the Mormon Tabernacle Choir are all Ellipses.

If you are at one foci, you can hear what is happening at the other.


Where are Conic Sections found?

How many hyperbolas and circles here?


The Conics

Circles

Hyperbolas

Parabolas

Ellipses


Distance formula

  • Find the missing side of the triangle.

a2 + b2 = c2

62 + 82 = c2

6

8


Distance formula

  • Find the missing side of the triangle.

6

a2 + b2 = c2

62 + 82 = c2

8


Distance formula

  • Find the distance in RED

(-2,7)

a2 + b2 = c2

(4- -2)2 + (-1- 7)2 = c2

(4,-1)


The Distance Formula

  • To find the distance between any two points (x1, y1) and (x2, y2), use the distance formula:

    Distance =

    Hmm, kind of looks like the Pythagorean Theorem!


The Midpoint Formula

  • The midpoint of a line is halfway between the two endpoints of a line.

  • To find the midpoint between (x1, y1) and (x2, y2), , use the midpoint formula:


The Midpoint Formula

  • To say it another way:

  • Find the AVERAGE of the X’s and the AVERAGE of the Y’s!


Practice

Find the distance between (-4, 2) and (-8, 4). Then find the midpoint between the points.


Classify a Triangle using the Distance formula

  • If a triangle has:

  • 3 sides the same:

  • 2 side the same:

  • No sides the same:

Then it is:

Equilateral

Isoceles

Scalene


Assignment

  • Section 9.1:6 – 14, 27 - 30


  • Login