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Re: Geometry #21
Posted:
Aug 18, 2011 9:11 PM
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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_note-1> 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_note-Mathworld-2>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
>>
>>
>>
>>
>> -----owner-nyshsmath@mathforum.org wrote: -----
>>
>> To: "nyshsmath@mathforum.org" <nyshsmath@mathforum.org>
>> <nyshsmath@mathforum.org> <nyshsmath@mathforum.org>
>> From: Jonathan **
>> Sent by: owner-nyshsmath@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/parcc-content-frameworks, you will be able to
>> review the draft Model Content Frameworks and provide your feedback through
>> an on-line 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) 474-5922
>> (518) 486-1385 (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
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>
>
>
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