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RE: Algebra 2/Trig
Posted:
Oct 27, 2009 11:52 AM
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Circles-- we divide both sides by the coefficient. Hyperbolas and ellipses-- up to now we have been teaching them in our Honors Math B (Now Alg II/Trig Honors) and Precalculus.
Roberta Silver
________________________________
From: owner-nyshsmath@mathforum.org on behalf of TKENYON@crcs.wnyric.org
Sent: Tue 10/27/2009 11:08 AM
To: nyshsmath@mathforum.org
Subject: Re: Algebra 2/Trig
But yes, students are expected to be able to use the complete the square technique.
A2.A.24 Know and apply the technique of completing the square
The core does not differentiate whether they should use completing the square to solve a quadratic equation, or to use completing the square to put an ellipse or hyperbola into standard form. The latter case usually requires more practice, but since the core makes no mention of hyperbolas or ellipses, I would expect the only types of problems are to complete the square(s) to put a circle or parabola into standard form, or to solve a quadratic equation.
However, as you know, in the case of putting an ellipse or hyperbola into standard form, the students are slightly more limited in the way they can deal with the coefficients on x² and y². So, do you get rid of the coefficients on those terms in a circle by dividing them out on both sides of the equation? And, do you wait until pre-calculus to teach to factor those coefficients out when working with ellipses and hyperbolas?
-Tom Kenyon
CRCS Mathematics/Physics
tkenyon@crcs.wnyric.org
-----owner-nyshsmath@mathforum.org wrote: -----
To: <nyshsmath@mathforum.org>
From: "Theresa Rice" <trice2@twcny.rr.com>
Sent by: owner-nyshsmath@mathforum.org
Date: 10/26/2009 10:06PM
Subject: Re: Algebra 2/Trig
ellipses and hyperbolas are not in the curriculum
----- Original Message -----
From: "Liz Donahue" <ldonahue@optonline.net>
To: <nyshsmath@mathforum.org>
Sent: Monday, October 26, 2009 8:06 PM
Subject: Algebra 2/Trig
> Does anyone know if graphing of ellipses and hyperbolas is in the
> curriculum? If so, are the students expected to complete the square to
> graph it?
>
> Thanks...Liz Donahue, East Islip HS
>
>
> -----Original Message-----
> From: owner-nyshsmath@mathforum.org [mailto:owner-nyshsmath@mathforum.org]
> On Behalf Of VanLeeuwen, David
> Sent: Friday, October 23, 2009 2:51 PM
> To: nyshsmath@mathforum.org
> Subject: RE: Compound Locus Applet?
>
> Check out www.geogebra.org
>
> -----Original Message-----
> From: owner-nyshsmath@mathforum.org
> [mailto:owner-nyshsmath@mathforum.org] On Behalf Of Lance Sayward
> Sent: Friday, October 23, 2009 11:15 AM
> To: nyshsmath@mathforum.org
> Subject: Compound Locus Applet?
>
> Is anyone aware of a JAVA applet for exploring compound locus? I did
> not find anything on NLVM or Shodor Interactive. The computer lab does
> not have Geometer's Sketchpad.
>
> Sincerely,
> Lance Sayward
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