The Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.


Math Forum » Discussions » Professional Associations » nyshsmath

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: common core geometry proofs
Replies: 10   Last Post: Aug 1, 2014 11:41 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
L.C.

Posts: 144
Registered: 12/3/04
RE: common core geometry proofs
Posted: Jul 14, 2014 9:25 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply
att1.html (47.4 K)


Locus is still there?it is just hidden

















NOTE:  points on a
perpendicular bisector of a line segment are exactly those equidistant
from the
segment?s endpoints.   


This is from engage NY Geometry curriculum..locus!!..just
doesn't mention the word. 


Do you teach all locus or just that??

also.. it has points of concurrency   ..hidden as well

















G.CO.C.10
Prove
theorems about triangles. Theorems include: measures of interior angles
of a
triangle sum to 180°; base angles of isosceles triangles are congruent;
the segment
joining midpoints of two sides of a triangle is parallel to the third
side and
half the length; the medians of a triangle meet at a point. 
 
Do you teach all points of concurrency or just the centroid ???  



Too many questions.. does anybody know the answers??


not fair!!  no textbook..no workbooks..we just have to figure it out !!


And every district will teach it differently.  
Students are at a disadvantage !!!  OK  I will stop complaining!!  








On Mon, Jul 14, 2014 at 08:23 AM, Alex Stern wrote:




They did remove Locus also......Alex







Alejandro Stern

Math Chairperson 6-12

astern@mccsd.net

631-285-8137









From: owner-nyshsmath@mathforum.org <owner-nyshsmath@mathforum.org> on
behalf of Lisa Clark <barnsky@optonline.net>

Sent: Saturday, July 12, 2014 6:44 PM

To: nyshsmath@mathforum.org

Subject: Re: common core geometry proofs

 






This is what I am worried about?


The geometry curriculum did not take much out..(just logic...graphing
parabolas....right??)






It added Trig and Transformations with proofs..more constructions...How
are we going to have enough time to cover everything??  



Looking at the modules, I do not see them giving enough days on
Euclidean Geometry proofs..Those proofs take so much time !! You can't
just jump into them.. 





Any thoughts??






Lisa Clark







On Sat, Jul 12, 2014 at 12:26 PM, Bruce Waldner wrote:





Way back in 1977, when NYSED allowed variances for Regents Examinations
and the current curriculum was Math 9  (elementary Algebra), Math 10
(geometry), and Math 11 (algebra Two with Trigonometry), taught  a
Transformation Geometry Course to average
and below average students where proofs were based on isometrics
(rigid motions). Students had no more difficulty with proofs than they
did in the state's Geometry course. They learned it that way. I think
you are panicking because it is not the way you are
used to doing it. Proofs through transformations are really no more
difficult just different. Most students do have problems with proof of
any style.










Sent from my iPad@



On Jul 12, 2014, at 10:33 AM, Tony George <tgeorge@atticacsd.org
<mailto:tgeorge@atticacsd.org> > wrote:











I totally agree.  

By the way are indirect proofs in the CC Geo.?








On Fri, Jul 11, 2014 at 4:18 PM, <JFish@csufsd.org
<mailto:JFish@csufsd.org> > wrote:




I totally agree with Howard!  One would only have to look at the
statistics of the results on Euclidean proofs and coordinate/analytic
proofs to see that the students are sufficiently challenged by them
already.  If only SED would read these posts and
allow a little common sense to prevail !!!









Sincerely,



Jim Fish



Mathematics Department Chair

JFK High School

305 Cayuga Creek Road

Cheektowaga, NY 14227

(716)897-7800 ext. 1120 <tel:%28716%29897-7800%20%20ext.%201120>



"We the willing, led by the unknowing,

are doing the impossible for the ungrateful.

We have done so much for so long, with so

little, we are now qualified to do anything

with nothing."



......Mother Theresa of Calcutta





-----owner-nyshsmath@mathforum.org
<mailto:owner-nyshsmath@mathforum.org> wrote: -----




To: nyshsmath@mathforum.org <mailto:nyshsmath@mathforum.org>

From: Howard Levine

Sent by: owner-nyshsmath@mathforum.org
<mailto:owner-nyshsmath@mathforum.org>

Date: 07/11/2014 03:17PM

Subject: common core geometry proofs




I think the emphasis in the new core on proofs by transformations is
excessive.  I think it's hard enough for average students to remember
the Euclidean postulates and theorems that are necessary for
the traditional statement and reason proofs that are STILL required in
the core, but to add the complicated wording of the transformation
postulates and theorems is just too much.  Euclidean proofs and proofs
by analytic geometry are enough!

*******************************************************************

* To unsubscribe from this mailing list, email the message

* "unsubscribe nyshsmath" to
majordomo@mathforum.org <mailto:majordomo@mathforum.org>

*

* Read prior posts and download attachments from the web archives at

* http://mathforum.org/kb/forum.jspa?forumID=671
<http://mathforum.org/kb/forum.jspa?forumID=671>

*******************************************************************





--

BEGIN-ANTISPAM-VOTING-LINKS

------------------------------------------------------



Teach CanIt if this mail (ID 0lMp7hhTD) is spam:

Spam:      
 https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&m=860d4ffb685f&t=20140711&c=s
<https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&m=860d4ffb685f&t=20140711&c=s>

Not spam:  
 https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&m=860d4ffb685f&t=20140711&c=n
<https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&m=860d4ffb685f&t=20140711&c=n>

Forget vote:
https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&m=860d4ffb685f&t=20140711&c=f
<https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&m=860d4ffb685f&t=20140711&c=f>

------------------------------------------------------

END-ANTISPAM-VOTING-LINKS












******************************************************************* * To
unsubscribe from this mailing list, email the message * "unsubscribe
nyshsmath" to
majordomo@mathforum.org <mailto:majordomo@mathforum.org> * * Read prior
posts and download attachments from the web archives at *
http://mathforum.org/kb/forum.jspa?forumIDg1
<http://mathforum.org/kb/forum.jspa?forumIDg1>
*******************************************************************











--


Anthony George

Attica High School


3338 East Main St.


Attica, NY 14011


585-591-0400ext.1117


Math Dept. Chair


















<div style="font-family:Verdana">Locus is still there?it is just hidden</div><div style="font-family:Verdana"><br></div><div>






<!--[if gte mso 9]><xml>
<o:OfficeDocumentSettings>
<o:AllowPNG/>
</o:OfficeDocumentSettings>
</xml><![endif]-->

<!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>EN-US</w:LidThemeOther>
<w:LidThemeAsian>JA</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:EnableOpenTypeKerning/>
<w:DontFlipMirrorIndents/>
<w:OverrideTableStyleHps/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="&#45;-"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="276">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" Priority="11" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" Priority="22" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" Priority="59" SemiHidden="false"
UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/>
</w:LatentStyles>
</xml><![endif]-->

<!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Table Normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-parent:"";
mso-padding-alt:0in 5.4pt 0in 5.4pt;
mso-para-margin:0in;
mso-para-margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:10.0pt;
font-family:"Times New Roman";
mso-fareast-language:JA;}
</style>
<![endif]-->



<!--StartFragment--><b><span style="font-family: Calibri; font-size: 15pt;">NOTE:&nbsp; </span><font face="Times"><span style="font-size: 15pt;">points on a
perpendicular bisector of a line segment are exactly those equidistant from the
segment?s endpoints. &nbsp;&nbsp;</span></font></b></div><div><font face="Times"><span style="font-size: 15pt;"><br></span></font></div><div><font face="Times"><span style="font-size: 15pt;">This is from engage NY Geometry curriculum..locus!!</span></font><span style="font-family: Times; font-size: 15pt;">..just doesn't&nbsp;</span><span style="font-family: Times; font-size: 20px;">mention the word.&nbsp;</span></div><div><span style="font-family: Times; font-size: 20px;"><br></span></div><div><span style="font-family: Times; font-size: 20px;">Do you teach all locus or just that??</span></div><div style="font-family:Verdana"><br><br>also.. it has points of concurrency &nbsp; ..hidden as well</div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana">






<!--[if gte mso 9]><xml>
<o:OfficeDocumentSettings>
<o:AllowPNG/>
</o:OfficeDocumentSettings>
</xml><![endif]-->

<!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>EN-US</w:LidThemeOther>
<w:LidThemeAsian>JA</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:EnableOpenTypeKerning/>
<w:DontFlipMirrorIndents/>
<w:OverrideTableStyleHps/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="&#45;-"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="276">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" Priority="11" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" Priority="22" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" Priority="59" SemiHidden="false"
UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/>
</w:LatentStyles>
</xml><![endif]-->

<!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Table Normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-parent:"";
mso-padding-alt:0in 5.4pt 0in 5.4pt;
mso-para-margin:0in;
mso-para-margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:10.0pt;
font-family:"Times New Roman";
mso-fareast-language:JA;}
</style>
<![endif]-->



<!--StartFragment--><span style="font-size:15.0pt;font-family:Times;mso-fareast-font-family:
&quot;?? ??&quot;;mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:Times;
mso-ansi-language:EN-US;mso-fareast-language:JA;mso-bidi-language:AR-SA">G.CO.C.10
</span><span style="font-size:15.0pt;font-family:Calibri;mso-fareast-font-family:
&quot;?? ??&quot;;mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:Calibri;
mso-ansi-language:EN-US;mso-fareast-language:JA;mso-bidi-language:AR-SA">Prove
theorems about triangles. </span><span style="font-size:15.0pt;font-family:
Times;mso-fareast-font-family:&quot;?? ??&quot;;mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:Times;mso-ansi-language:EN-US;mso-fareast-language:JA;
mso-bidi-language:AR-SA">Theorems include: measures of interior angles of a
triangle sum to 180°; base angles of isosceles triangles are congruent; the segment
joining midpoints of two sides of a triangle is parallel to the third side and
half the length; <b>the medians of a triangle meet at a point</b>.&nbsp;</span><!--EndFragment--></div><div style="font-family:Verdana">&nbsp;</div><div style="font-family:Verdana">Do you teach all points of concurrency or just the centroid ??? &nbsp;</div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana">Too many questions.. does anybody know the answers??</div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana">not fair!! &nbsp;no textbook..no workbooks..we just have to figure it out !!</div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana">And every district will teach it differently. &nbsp;</div><div style="font-family:Verdana">Students are at a disadvantage !!! &nbsp;OK &nbsp;I will stop complaining!! &nbsp;</div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana"><br></div><div style="font-family:Verdana"><br>On Mon, Jul 14, 2014 at 08:23 AM, Alex Stern wrote:<br><br><blockquote style="border-left: 2px solid rgb(136, 136, 136); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex">
<div id="OWAFontStyleDivID" style="font-size:12pt;color:#000000;background-color:#FFFFFF;font-family:Calibri,Arial,Helvetica,sans-serif;">
<p>They did remove Locus also......Alex</p>
<div>
<p></p>
<p></p>
<div style="font-family: Tahoma; font-size: 13px;">Alejandro Stern<br>
Math Chairperson 6-12<br>
astern@mccsd.net<br>
631-285-8137<br>
</div>
</div>
<div style="color: rgb(33, 33, 33);">
<hr tabindex="-1" style="width: 98%; display: inline-block;">
<div id="divRplyFwdMsg" dir="ltr"><font color="#000000" face="Calibri, sans-serif" style="font-size: 11pt;"><b>From:</b> owner-nyshsmath@mathforum.org &lt;owner-nyshsmath@mathforum.org&gt; on behalf of Lisa Clark &lt;barnsky@optonline.net&gt;<br>
<b>Sent:</b> Saturday, July 12, 2014 6:44 PM<br>
<b>To:</b> nyshsmath@mathforum.org<br>
<b>Subject:</b> Re: common core geometry proofs</font>
<div>&nbsp;</div>
</div>
<div>
<div style="font-family: Verdana;">This is what I am worried about?</div>
<div style="font-family: Verdana;">The geometry curriculum did not take much out..(just logic...graphing parabolas....right??)</div>
<div style="font-family: Verdana;"><br>
</div>
<div style="font-family: Verdana;">It added Trig and Transformations with proofs..more constructions...How are we going to have enough time to cover everything?? &nbsp;<br>
<br>
Looking at the modules, I do not see them giving enough days on Euclidean Geometry proofs..Those proofs take so much time !! You can't just jump into them..&nbsp;</div>
<div style="font-family: Verdana;"><br>
<br>
Any thoughts??</div>
<div style="font-family: Verdana;"><br>
</div>
<div style="font-family: Verdana;">Lisa Clark<br>
<br>
<br>
<br>
On Sat, Jul 12, 2014 at 12:26 PM, Bruce Waldner wrote:<br>
<br>
<blockquote style="margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex; border-left-color: rgb(136, 136, 136); border-left-width: 2px; border-left-style: solid;">
<div>Way back in 1977, when NYSED allowed variances for Regents Examinations and the current curriculum was Math 9 &nbsp;(elementary Algebra), Math 10 (geometry), and Math<span>&nbsp;11 (algebra Two with Trigonometry), taught &nbsp;a Transformation Geometry Course to average
and below average students where proofs were based on isometrics (rigid motions). Students had no more difficulty with proofs than they did in the state's Geometry course. They learned it that way. I think you are panicking because it is not the way you are
used to doing it. Proofs through transformations are really no more difficult just different. Most students do have problems with proof of any style.</span></div>
<div><span><br>
</span></div>
<div><span><br>
</span></div>
<div>Sent from my iPad@</div>
<div><br>
On Jul 12, 2014, at 10:33 AM, Tony George &lt;<a href="mailto:tgeorge@atticacsd.org" _djrealurl="mailto:tgeorge@atticacsd.org">tgeorge@atticacsd.org</a>&gt; wrote:<br>
<br>
</div>
<div></div>
<blockquote type="cite">
<div>
<div dir="ltr">I totally agree. &nbsp;
<div>By the way are indirect proofs in the CC Geo.?</div>
</div>
<div class="gmail_extra"><br>
<br>
<div class="gmail_quote">On Fri, Jul 11, 2014 at 4:18 PM, <span dir="ltr">&lt;<a href="mailto:JFish@csufsd.org" _djrealurl="mailto:JFish@csufsd.org" target="_blank">JFish@csufsd.org</a>&gt;</span> wrote:<br>
<blockquote class="gmail_quote" style="margin: 0px 0px 0px 0.8ex; padding-left: 1ex; border-left-color: rgb(204, 204, 204); border-left-width: 1px; border-left-style: solid;">
<font face="Default Sans Serif,Verdana,Arial,Helvetica,sans-serif"></font>
<div>I totally agree with Howard! &nbsp;One would only have to look at the statistics of the results on Euclidean proofs and coordinate/analytic proofs to see that the students are sufficiently challenged by them already. &nbsp;If only SED would read these posts and
allow a little common sense to prevail !!!</div>
<div><br>
</div>
<div><br>
<br>
Sincerely, <br>
<br>
Jim Fish<br>
<br>
Mathematics Department Chair<br>
JFK High School<br>
305 Cayuga Creek Road<br>
Cheektowaga, NY 14227<br>
<a href="tel:%28716%29897-7800%20%20ext.%201120" _djrealurl="tel:%28716%29897-7800%20%20ext.%201120" target="_blank" value="+17168977800">(716)897-7800 ext. 1120</a><br>
<br>
"We the willing, led by the unknowing, <br>
are doing the impossible for the ungrateful. <br>
We have done so much for so long, with so <br>
little, we are now qualified to do anything <br>
with nothing."<br>
<br>
......Mother Theresa of Calcutta</div>
<br>
<br>
<font color="#990099">-----<a href="mailto:owner-nyshsmath@mathforum.org" _djrealurl="mailto:owner-nyshsmath@mathforum.org" target="_blank">owner-nyshsmath@mathforum.org</a> wrote: -----</font>
<div style="padding-left: 5px;">
<div style="padding-right: 0px; padding-left: 5px; border-left-color: black; border-left-width: 2px; border-left-style: solid;">
To: <a href="mailto:nyshsmath@mathforum.org" _djrealurl="mailto:nyshsmath@mathforum.org" target="_blank">nyshsmath@mathforum.org</a><br>
From: Howard Levine <u></u><br>
Sent by: <a href="mailto:owner-nyshsmath@mathforum.org" _djrealurl="mailto:owner-nyshsmath@mathforum.org" target="_blank">owner-nyshsmath@mathforum.org</a><br>
Date: 07/11/2014 03:17PM<br>
Subject: common core geometry proofs<br>
<br>
<div><font face="Courier New,Courier,monospace" size="3">I think the emphasis in the new core on proofs by transformations is excessive. &nbsp;I think it's hard enough for average students to remember the Euclidean postulates and theorems that are necessary for
the traditional statement and reason proofs that are STILL required in the core, but to add the complicated wording of the transformation postulates and theorems is just too much. &nbsp;Euclidean proofs and proofs by analytic geometry are enough!<br>
*******************************************************************<br>
* To unsubscribe from this mailing list, email the message<br>
* "unsubscribe nyshsmath" to <a href="mailto:majordomo@mathforum.org" _djrealurl="mailto:majordomo@mathforum.org" target="_blank">
majordomo@mathforum.org</a><br>
*<br>
* Read prior posts and download attachments from the web archives at<br>
* <a href="http://mathforum.org/kb/forum.jspa?forumID=671" _djrealurl="http://mathforum.org/kb/forum.jspa?forumID=671" target="_blank">http://mathforum.org/kb/forum.jspa?forumID=671</a><br>
*******************************************************************<span class="HOEnZb"><font color="#888888"><br>
<br>
<br>
-- <br>
BEGIN-ANTISPAM-VOTING-LINKS<br>
------------------------------------------------------<br>
<br>
Teach CanIt if this mail (ID 0lMp7hhTD) is spam:<br>
Spam: &nbsp; &nbsp; &nbsp; &nbsp;<a href="https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=s" _djrealurl="https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=s" target="_blank">https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=s</a><br>
Not spam: &nbsp; &nbsp;<a href="https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=n" _djrealurl="https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=n" target="_blank">https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=n</a><br>
Forget vote: <a href="https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=f" _djrealurl="https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=f" target="_blank">
https://milton1.wnyric.org/canit/b.php?i=0lMp7hhTD&amp;m=860d4ffb685f&amp;t=20140711&amp;c=f</a><br>
------------------------------------------------------<br>
END-ANTISPAM-VOTING-LINKS<br>
<br>
</font></span></font></div>
<span class="HOEnZb"><font color="#888888"><u></u></font></span></div>
</div>
<span class="HOEnZb"><font color="#888888"></font></span>
<div></div>
<span class="HOEnZb"><font color="#888888">******************************************************************* * To unsubscribe from this mailing list, email the message * "unsubscribe nyshsmath" to
<a href="mailto:majordomo@mathforum.org" _djrealurl="mailto:majordomo@mathforum.org" target="_blank">majordomo@mathforum.org</a> * * Read prior posts and download attachments from the web archives at *
<a href="http://mathforum.org/kb/forum.jspa?forumIDg1" _djrealurl="http://mathforum.org/kb/forum.jspa?forumIDg1" target="_blank">http://mathforum.org/kb/forum.jspa?forumIDg1</a> *******************************************************************
</font></span></blockquote>
</div>
<br>
<br clear="all">
<div><br>
</div>
-- <br>
<div dir="ltr">Anthony George
<div>Attica High School</div>
<div>3338 East Main St.</div>
<div>Attica, NY 14011</div>
<div>585-591-0400ext.1117</div>
<div>Math Dept. Chair</div>
</div>
</div>
</div>
</blockquote>
</blockquote>
</div>
</div>
</div>
</div>
</blockquote></div>



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.