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Re: Geometry #21
Posted:
Aug 18, 2011 9:11 PM



I remember having so many conversations about the trapezoid with a person outside of NY ...
There is also some disagreement on the allowed number of parallel sides in a trapezoid. At issue is whether parallelograms<http://en.wikipedia.org/wiki/Parallelogram>, which have two pairs of parallel sides, should be counted as trapezoids. Some authors[2] <http://en.wikipedia.org/wiki/Trapezoid#cite_note1> define a trapezoid as a quadrilateral having *exactly* one pair of parallel sides, thereby excluding parallelograms. Other authors[3]<http://en.wikipedia.org/wiki/Trapezoid#cite_noteMathworld2>define a trapezoid as a quadrilateral with *at least* one pair of parallel sides, making the parallelogram a special type of trapezoid (along with the rhombus<http://en.wikipedia.org/wiki/Rhombus>, the rectangle <http://en.wikipedia.org/wiki/Rectangle> and the square<http://en.wikipedia.org/wiki/Square_%28geometry%29>).
Where we will have a test that will be used in many states we must make sure we are all working from the same definition ...
Grace
On Thu, Aug 18, 2011 at 7:30 PM, <elizwaite@aol.com> wrote:
> Agreed...I see what you're saying now... > You would have preferred the question said The quadrilateral *could be*and then the choices. > Liz Waite > > > > Original Message > From: Jonathan <jd2718@gmail.com> > To: nyshsmath <nyshsmath@mathforum.org> > Sent: Thu, Aug 18, 2011 4:45 pm > Subject: Re: Geometry #21 > > There's clearly a best answer. I didn't mean to raise it as a grading > issue. It is, rather, a quality issue. > > I am concerned that this is yet again a poorly written question. They've > chosen what reads like universal language, but intended that it apply to a > particular example. > > And this is in a geometry course, the primary place in secondary > mathematics where the distinctions between "all" and "some" and between > "always," "sometimes," and "never" are taught and reinforced. > > Jonathan Halabi > HS of American Studies > the Bronx > > > On Thu, Aug 18, 2011 at 3:42 PM, <lboyce@pbcschools.org> wrote: > >> In the case of multiple choice questions I teach my students to choose the >> BEST answer from the choices given. >> >> Loretta Boyce >> Mathematics Teacher >> Dana L West Jr Sr High School >> 30 Maple Ave >> Port Byron, NY 13140 >> >> >> >> >> ownernyshsmath@mathforum.org wrote:  >> >> To: "nyshsmath@mathforum.org" <nyshsmath@mathforum.org> >> <nyshsmath@mathforum.org> <nyshsmath@mathforum.org> >> From: Jonathan ** >> Sent by: ownernyshsmath@mathforum.org >> Date: 08/18/2011 12:56PM >> Subject: Re: Geometry #21 >> >> >> It could be an isosceles trapezoid, but that's not the question as asked. >> We really should be expecting mathematically precise language. >> >> Sent from my iPhone >> >> On Aug 18, 2011, at 12:08 PM, elizwaite@aol.com wrote: >> >> Right...but were you saying that out of the 4 choices none were >> correct? >> Liz >> >> >> >> Original Message >> From: Jonathan <jd2718@gmail.com> >> To: nyshsmath <nyshsmath@mathforum.org> >> Sent: Thu, Aug 18, 2011 10:52 am >> Subject: Re: Geometry #21 >> >> In a kite, neither pair of sides is parallel. >> >> Sent from my iPhone >> >> On Aug 18, 2011, at 10:32 AM, <elizwaite@aol.com>elizwaite@aol.com wrote: >> >> I believe isosceles trapezoid is correct. Although I do recall an >> earlier conversation on this list from several years ago where a few people >> defined a trapezoid as a quadrilateral with AT LEAST one pair of parallel >> sides where most of us used EXACTLY one pair of parallel sides. This would >> make a difference, I think. >> Liz Waite >> >> >> >> Original Message >> From: Jonathan < <jd2718@gmail.com>jd2718@gmail.com> >> To: nyshsmath < <nyshsmath@mathforum.org>nyshsmath@mathforum.org> >> Sent: Thu, Aug 18, 2011 10:24 am >> Subject: Geometry #21 >> >> The diagonals of a quadrilateral are congruent but do not bisect eac >> other. The quadrilateral is: >> >> Iso trapezoid >> Parallelogram >> Rectangle >> Rhombus >> >> But none of these are necessarily correct (kite, anyone?) >> >> Sent from my iPhone >> >> On Aug 10, 2011, at 4:48 PM, Iva Jean Tennant < <tennantij@aol.com><tennantij@aol.com> >> tennantij@aol.com> wrote: >> >> Hi All >> Sorry this is a bit late, but I have been away for the last week. I hope >> you are all enjoying some time off over the summer. >> I know most of you have seen the news around the release of the PARCC >> Model Content Frameworks for public comment. For those of you who have not, >> read on. >> · The Model Content Frameworks in Mathematics and English language >> arts/literacy were released for public review on August 3rd, after >> several rounds of feedback from the PARCC states. This public review period >> is an opportunity for an even wider group of interested parties to provide >> feedback on all parts of the frameworks, including the introductions and the >> grade level analyses, which contain suggested areas of emphasis and >> priority. >> · By following the this link, >> http://www.parcconline.org/parcccontentframeworks, you will be able to >> review the draft Model Content Frameworks and provide your feedback through >> an online survey. *All feedback is due to PARCC by Wednesday, August >> 17th.* >> During this public review period, PARCC hopes that teachers in >> particular will provide their feedback on the draft Model Content >> Frameworks. While teachers have helped to develop the frameworks to this >> point, the feedback of a broader group of educators is critical. The Model >> Content Frameworks are being shared directly with NCTM, NCSM, NCTE, AFT, and >> NEA, as well as others, so these organizations can share them with their >> members, as well. >> >> >> · >> >> John Svendsen >> Mathematics Associate >> Office of Curriculum and Instruction >> NYS Education Department >> EB 320 >> Albany, N.Y. 12234 >> (518) 4745922 >> (518) 4861385 (fax) >> <jsvendse@mail.nysed.gov> <jsvendse@mail.nysed.gov><jsvendse@mail.nysed.gov><jsvendse@mail.nysed.gov><jsvendse@mail.nysed.gov> >> jsvendse@mail.nysed.gov >> <http://www.emsc.nysed.gov/ciai/mst/math/home.html><http://www.emsc.nysed.gov/ciai/mst/math/home.html><http://www.emsc.nysed.gov/ciai/mst/math/home.html><http://www.emsc.nysed.gov/ciai/mst/math/home.html><http://www.emsc.nysed.gov/ciai/mst/math/home.html> >> http://www.emsc.nysed.gov/ciai/mst/math/home.html >> <http://www.emsc.nysed.gov/ciai> <http://www.emsc.nysed.gov/ciai><http://www.emsc.nysed.gov/ciai><http://www.emsc.nysed.gov/ciai><http://www.emsc.nysed.gov/ciai> >> www.emsc.nysed.gov/ciai >> >> >> ** >> >> ******************************************************************* * To >> unsubscribe from this mailing list, email the message * "unsubscribe >> nyshsmath" to majordomo@mathforum.org * * Read prior posts and download >> attachments from the web archives at * >> http://mathforum.org/kb/forum.jspa?forumIDg1******************************************************************* > > >



