Suffolk County Math Teacher's Assn. WorkNotes Update Newsletter

WorkNotes

Update Newsletter

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VIEW: Home \| Activity Chairs \| Events Calendar \| OPEN MEETING flier \| Teacher Org. Links \| Teacher Conferences \| Teaching Grants \| Outstanding Tchr &Jr \| Jr. Hi. League \| Sr. Hi. League \| Symposium \| Sr. Tournament \| Elem. tournament \| Course Contest \| Newsletter \| News for you \| Help Wanted \| Website comments \| Math Links \| about SCMTA \| FAQ \| Member Application \| Grant Application \| Tchr o the Yr. Appli \| El. & Sr. Tourney Apps \| Contest Application \| Symposium documents

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<P><FONT face="Arial Black"><FONT size=5>Rose, the NEWSLETTER EDITOR,</FONT> would greatly appreciate your sending items </FONT><FONT face="Arial Black">for the next issue.   </FONT></P>
<P><FONT face="Arial Black">Be ready and watch for some great news!  </FONT></P>
<P><FONT face="Century Gothic"><FONT face="MS Sans Serif"><STRONG>Suggestions include: </STRONG><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman'"> </SPAN></FONT></FONT></P>
<UL>
<LI><FONT face=Terminal size=4>math website addresses</FONT></LI>
<LI><FONT face=Terminal size=4>favorite lesson plan or activity</FONT></LI>
<LI><FONT face=Terminal size=4>classroom suggestions/ideas</FONT></LI>
<LI><FONT face=Terminal size=4>classroom mathematical technique</FONT></LI>
<LI><FONT face=Terminal size=4>saying you use with your fellow teachers or students</FONT></LI>
<LI><FONT face=Terminal size=4>puzzle</FONT></LI>
<LI><FONT face=Terminal size=4>sample math problem</FONT></LI>
<LI><FONT face=Terminal size=4>classroom story</FONT></LI>
<LI><FONT face=Terminal size=4>noteworthy math facts</FONT></LI>
<LI><FONT face=Terminal size=4>helpful or funny websites</FONT></LI>
<LI><FONT face=Terminal size=4>anything you find interesting and think other math teachers will too</FONT></LI></UL>
<P><FONT face=Terminal size=4>Send your ideas to <A href="mailto:rozebud16@optonline.net">rozebud16@optonline.net</A> with the subject line "SCMTA Newsletter".  Thank you!<BR></FONT></P><FONT face=Terminal size=4></FONT>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt; TEXT-ALIGN: center" align=center><B><U><SPAN style="FONT-FAMILY: 'Lucida Handwriting'; mso-bidi-font-family: Arial"></SPAN></U></B> </P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt; TEXT-ALIGN: center" align=center><B><U><SPAN style="FONT-FAMILY: 'Lucida Handwriting'; mso-bidi-font-family: Arial">Solution to the Math Riddle Fall Newsletter 08-09<o:p></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt; TEXT-ALIGN: center" align=center><B><U><SPAN style="FONT-FAMILY: 'Lucida Handwriting'; mso-bidi-font-family: Arial"><o:p><SPAN id=ms__id4354 style="TEXT-DECORATION: none"></SPAN></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'"></SPAN> </P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">Here is an algebraic solution.<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN id=ms__id4353 style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">Let x<SUB>1 </SUB>= the 1<SUP>st</SUP> number in our list, x<SUB>2</SUB> = the 2<SUP>nd</SUP> number, … x<SUB>5</SUB> = the 5<SUP>th</SUP> number <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">x<SUB>5</SUB> + x<SUB>3</SUB> = 14<SPAN style="mso-tab-count: 3">               </SPAN><SPAN style="mso-spacerun: yes">    </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">x<SUB>4</SUB> = x<SUB>2</SUB> + 1<SPAN style="mso-tab-count: 3">           </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">x<SUB>1</SUB> = 2x<SUB>2</SUB> – 1<SPAN style="mso-tab-count: 3">               </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">x<SUB>2</SUB> + x<SUB>3</SUB> = 10<SPAN style="mso-tab-count: 3">               </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">x<SUB>1</SUB> + x<SUB>2</SUB> + x<SUB>3</SUB> + x<SUB>4</SUB> + x<SUB>5</SUB> = 30<SPAN style="mso-tab-count: 1"> </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">Rewrite our last equation in terms of a single variable.</SPAN><B><U><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Lucida Handwriting'; mso-bidi-font-family: Arial"><o:p></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN id=ms__id4352 style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'"><SPAN style="mso-spacerun: yes">   </SPAN>(x<SUB>1</SUB>)<SPAN style="mso-spacerun: yes">     </SPAN>+ (x<SUB>2</SUB> + x<SUB>3</SUB>)<SPAN style="mso-spacerun: yes">  </SPAN>+<SPAN style="mso-spacerun: yes">    </SPAN>(x<SUB>4</SUB>)<SUB><SPAN style="mso-spacerun: yes">    </SPAN></SUB><SPAN style="mso-spacerun: yes">  </SPAN>+<SPAN style="mso-spacerun: yes">       </SPAN>(x<SUB>5</SUB>)<SPAN style="mso-spacerun: yes">         </SPAN>= 30 <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN id=ms__id4351 style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">(2x<SUB>2</SUB> – 1)<SPAN style="mso-spacerun: yes">   </SPAN>+<SPAN style="mso-spacerun: yes">   </SPAN>(10)<SPAN style="mso-spacerun: yes">    </SPAN>+<SPAN style="mso-spacerun: yes">  </SPAN>(x<SUB>2</SUB> + 1)<SPAN style="mso-spacerun: yes">   </SPAN>+<SPAN style="mso-spacerun: yes">    </SPAN>(14 – x<SUB>3</SUB>)<SPAN style="mso-spacerun: yes">      </SPAN><SPAN style="mso-spacerun: yes"> </SPAN>= 30<SPAN style="mso-spacerun: yes">    </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">(2x<SUB>2</SUB> – 1)<SPAN style="mso-spacerun: yes">   </SPAN>+<SPAN style="mso-spacerun: yes">   </SPAN>(10)<SPAN style="mso-spacerun: yes">    </SPAN>+<SPAN style="mso-spacerun: yes">  </SPAN>(x<SUB>2</SUB> + 1)<SPAN style="mso-spacerun: yes">   </SPAN>+ (14 – (10 - x<SUB>2</SUB>))<SPAN style="mso-spacerun: yes">   </SPAN>= 30<SPAN style="mso-spacerun: yes">   </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt; TEXT-ALIGN: center" align=center><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">4x<SUB>2</SUB> + 14 = 30<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt; TEXT-ALIGN: center" align=center><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">x<SUB>2</SUB> = 4<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt; TEXT-ALIGN: center" align=center><SPAN style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0in 0in 0pt; TEXT-ALIGN: center" align=center><SPAN id=ms__id4350 style="FONT-SIZE: 11pt; FONT-FAMILY: 'Courier New'">Substitution gives us our five numbers in the following order: 7,4,6,5,8<o:p></o:p></SPAN></P>
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