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7/23/2016 9:04:45 AMException of type 'System.Web.HttpUnhandledException' was thrown.System.Web
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with Dynagraphs - National ...</T><RK>0</RK><BYLINEDATE>1408172400</BYLINEDATE><S>Aug 16, 2014 &lt;b&gt;...&lt;/b&gt; In the &lt;b&gt;middle&lt;/b&gt; grades (and beyond), students experience &lt;b&gt;functions&lt;/b&gt; as (a) plots of &lt;br&gt; ordered pairs on the coordinate plane and (b) as formulas to&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Publications/mathematics_teaching_in_middle_school/MTMS_Blog/MTMS_blog_2014-06-09_Art01(1).png"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="406"/><Attribute name="height" value="124"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQSnIkPbZoYfVu9EHY8sV5-21GMWwcWyk-OQOYIZ1T88V3AyKIZn1Qw1g"/></DataObject></PageMap><HAS><L></L><C CID="6YTNtA_viLwJ" SZ="127k"></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R N="2"><U>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2015/Vol21/Issue5/Understanding-Linear-Functions-and-their-Representations/</U><UE>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2015/Vol21/Issue5/Understanding-Linear-Functions-and-their-Representations/</UE><T>Understanding Linear &lt;b&gt;Functions&lt;/b&gt; and their Representations ...</T><RK>0</RK><S>21 5 2015-12-01 Linear &lt;b&gt;functions&lt;/b&gt; are an important part of the &lt;b&gt;middle&lt;/b&gt; school &lt;br&gt; mathematics curriculum. 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B.2.2 &lt;b&gt;Function&lt;/b&gt; classes including polynomial, exponential and &lt;br&gt; logarithmic,&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="Judy O&#39;Neal"/><Attribute name="creator" value="Microsoft® Word 2010"/><Attribute name="creationdate" value="D:20140121201736-05&#39;00&#39;"/><Attribute name="moddate" value="D:20140121201736-05&#39;00&#39;"/><Attribute name="producer" value="Microsoft® Word 2010"/></DataObject></PageMap><HAS><L></L><C CID="aMQTfaR89AQJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R MIME="application/pdf" N="5"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Institues/Grades_6-8_Algebra_Readiness/Blanton_Reasoning_Algebraically_About_Functions.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Institues/Grades_6-8_Algebra_Readiness/Blanton_Reasoning_Algebraically_About_Functions.pdf</UE><T>Reasoning Algebraically about &lt;b&gt;Functions&lt;/b&gt;</T><RK>0</RK><S>... as they entered &lt;b&gt;middle&lt;/b&gt; grades to be prepared to reason algebraically with &lt;br&gt; &lt;b&gt;functions&lt;/b&gt;? ... If we count the engine, how would this affect your &lt;b&gt;function&lt;/b&gt; table? &lt;br&gt; How.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20150805151516Z"/><Attribute name="author" value="Maria Blanton"/><Attribute name="creator" value="PowerPoint"/><Attribute name="producer" value="Mac OS X 10.9.5 Quartz PDFContext"/><Attribute name="moddate" value="D:20150806094944-04&#39;00&#39;"/><Attribute name="title" value="NCTM_Website_Version_Reasoning_Algebraically_About_Functions.pptx"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///5ac77c065a2852bdc05c52fd50973c5fce86757b8d1b5ede60d7e7c8bb8c0c3d"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="227"/><Attribute name="height" value="222"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSWMhNtrV17IacAKjOOK91NuwbB9ygO-I64ZEx3_gFSsFgHpoFuYuZ8oQ69"/></DataObject></PageMap><HAS><L></L><C CID="2xMdsXeQ7bIJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R N="6"><U>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2015/Vol21/Issue2/Epidemics,-Exponential-Functions,-and-Modeling/</U><UE>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2015/Vol21/Issue2/Epidemics,-Exponential-Functions,-and-Modeling/</UE><T>Epidemics, Exponential &lt;b&gt;Functions&lt;/b&gt;, and Modeling - National Council ...</T><RK>0</RK><S>The phenomenon of a plague intrigues students and provides a visual model that &lt;br&gt; demonstrates growth.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="4WoK0QvM9kwJ" SZ="160k"></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="7"><U>http://www.nctm.org/publications/article.aspx?id=30479</U><UE>http://www.nctm.org/publications/article.aspx%3Fid%3D30479</UE><T>A Geometric Path to the Concept of &lt;b&gt;Function&lt;/b&gt; - National Council of ...</T><RK>0</RK><S>Transformations using dynamic software can provide a unique perspective on a &lt;br&gt; common topic.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="RtUqwqO_xF8J" SZ="130k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R MIME="application/pdf" N="8"><U>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2015/Vol21/Issue4/mtms2015-11-208a/</U><UE>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2015/Vol21/Issue4/mtms2015-11-208a/</UE><T>12 Math Rules That Expire in the &lt;b&gt;Middle&lt;/b&gt; Grades</T><RK>0</RK><S>208 MATHEMATICS TEACHING IN THE &lt;b&gt;MIDDLE&lt;/b&gt; SCHOOL â—‹ Vol. ..... equations, &lt;br&gt; &lt;b&gt;functions&lt;/b&gt;, and statistics, while reinforcing critical mathematical practices and.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="Karen S. Karp, Sarah B. Bush, and Barbara J. Dougherty"/><Attribute name="creationdate" value="D:20151019151310-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS6 (Macintosh)"/><Attribute name="moddate" value="D:20151019161214-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 10.0.1"/><Attribute name="subject" value="Turn away from overgeneralizations and consider alternative terminology and notation to support student understanding."/><Attribute name="title" value="12 Math Rules That Expire in the Middle Grades"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///e7e4bb8677a157dfef9cf5c51c82381bc86f3e9fe041d963092100fdf45c0cd5"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="240"/><Attribute name="height" value="210"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcR3viqW0hqUn6IqC78f5cxxNdvqhQG-W4aQDJjGCcqtt03vbdDoxY4OAs6c"/></DataObject></PageMap><HAS><L></L><C CID="c5dMWX0MZCUJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="9"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=6s3X8mu0Y1E%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3D6s3X8mu0Y1E%253D</UE><T>Table of Contents</T><RK>0</RK><S>Mathematics Teaching in the &lt;b&gt;Middle&lt;/b&gt; School. Exploring Proportional ... Building &lt;br&gt; the Concept of &lt;b&gt;Function&lt;/b&gt; from Students&amp;#39; Everyday Activities. Susana Davidenko.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20090324101042-04&#39;00&#39;"/><Attribute name="producer" value="Acrobat Distiller 8.1.0 (Macintosh)"/><Attribute name="moddate" value="D:20090324101138-04&#39;00&#39;"/><Attribute name="title" value="untitled"/></DataObject></PageMap><HAS><L></L><C CID="iC-VfL5E3tMJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R N="10"><U>https://www.nctm.org/12rules/</U><UE>https://www.nctm.org/12rules/</UE><T>12 Math Rules That Expire in the &lt;b&gt;Middle&lt;/b&gt; Grades - National Council ...</T><RK>0</RK><BYLINEDATE>1446451200</BYLINEDATE><S>Nov 2, 2015 &lt;b&gt;...&lt;/b&gt; In our article, “12 Math Rules That Expire in the &lt;b&gt;Middle&lt;/b&gt; Grades,” we point ... &amp;quot;&lt;br&gt; Parentheses means multiply&amp;quot; expires with &lt;b&gt;function&lt;/b&gt; notation, and is&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="74BJgoArx10J" SZ="149k"></C><RT></RT></HAS></R></RES> </GSP> 
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...</T><RK>0</RK><S>&lt;b&gt;Functions&lt;/b&gt; are used to demonstrate that students&amp;#39; understanding of the meaning &lt;br&gt; of &lt;b&gt;functions&lt;/b&gt; through real-world examples and other representations strengthens&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="nWQN1bR3qAYJ" SZ="133k"></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R MIME="application/pdf" N="82"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Institues/High_School_Mathmatics/9-12%20Session%20Descriptions_web.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Institues/High_School_Mathmatics/9-12%2520Session%2520Descriptions_web.pdf</UE><T>Breakout Workshop Descriptions</T><RK>0</RK><S>and conceptual understanding of linear &lt;b&gt;functions&lt;/b&gt; while breaking the barriers &lt;br&gt; often present in whole-class discussions. Participants will focus on questioning.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="Kristin Keith"/><Attribute name="creator" value="Microsoft® Word 2013"/><Attribute name="creationdate" value="D:20160527095859-04&#39;00&#39;"/><Attribute name="moddate" value="D:20160527095859-04&#39;00&#39;"/><Attribute name="producer" value="Microsoft® Word 2013"/></DataObject></PageMap><HAS><L></L><C CID="wsBrX0n0Sh8J" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R N="83"><U>http://www.nctm.org/Publications/mathematics-teacher/2005/Vol99/Issue3/Helping-Students-Connect-Functions-and-Their-Representations/</U><UE>http://www.nctm.org/Publications/mathematics-teacher/2005/Vol99/Issue3/Helping-Students-Connect-Functions-and-Their-Representations/</UE><T>Helping Students Connect &lt;b&gt;Functions&lt;/b&gt; and Their Representations ...</T><RK>0</RK><S>A teaching method to help promote deeper understanding of both the graphical &lt;br&gt; and algebraic representations of linear and quadratic &lt;b&gt;functions&lt;/b&gt;. The authors ask&lt;br&gt; &amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="GRq30QYwI9YJ" SZ="131k"></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R N="84"><U>https://www.nctm.org/store/Products/Curriculum-and-Evaluation-Standards-for-School-Mathematics--Addenda-Series-Grades-5-8--Patterns-and-Functions/</U><UE>https://www.nctm.org/store/Products/Curriculum-and-Evaluation-Standards-for-School-Mathematics--Addenda-Series-Grades-5-8--Patterns-and-Functions/</UE><T>Curriculum and Evaluation Standards for School Mathematics ...</T><RK>0</RK><S>Curriculum and Evaluation Standards for School Mathematics. Addenda Series &lt;br&gt; Grades 5-8. Patterns and &lt;b&gt;Functions&lt;/b&gt;. List Price, $28.95. 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Yong s. colen. coNtest. fuNny. facE.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100720163603-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20100720171357-04&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///c4bcdf0602096d3a699cec312815aed3d4ffe91baab195cd0b2402263a73a979"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="196"/><Attribute name="height" value="258"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSjlrN2jDK6M4qeXXMBLpCg15iVieupxw1DNQA6PRdbXL4ZJSy2fLCDe1W2"/></DataObject></PageMap><HAS><L></L><C CID="tIzGXDcTcuEJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R N="55"><U>http://www.nctm.org/publications/article.aspx?id=34682</U><UE>http://www.nctm.org/publications/article.aspx%3Fid%3D34682</UE><T>Using Multiple Representations to Teach Composition of &lt;b&gt;Functions&lt;/b&gt; ...</T><RK>0</RK><S>Experience with multiple representations fosters students&amp;#39; robust understanding &lt;br&gt; of what &lt;b&gt;functions&lt;/b&gt; are, how they behave, and how they can be composed.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="9FCiRajjRjwJ" SZ="128k"></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R MIME="application/pdf" N="56"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Institues/Pre-K_Grade_12_Common_Core_Series/6-8%20descriptions%20for%20web.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Institues/Pre-K_Grade_12_Common_Core_Series/6-8%2520descriptions%2520for%2520web.pdf</UE><T>Grade 6 Session 1 Title: Ratio Concepts and Proportional ...</T><RK>0</RK><S>&lt;b&gt;function&lt;/b&gt;. 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James R. Rogers. 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It is organized around five big ideas,&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=%2B%2Fl1h5q15Gw%3D"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="78"/><Attribute name="height" value="112"/><Attribute name="src" value="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcT2d_QXPiOtF5C9D_xIaRoi33Bd41SKnHyFdsqkaTXDSOgRNxwyuGac"/></DataObject></PageMap><HAS><L></L><C CID="57k18R51li8J" SZ="133k"></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R MIME="application/pdf" N="60"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=NtW13pvsf8c%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DNtW13pvsf8c%253D</UE><T>Preface (PDF)</T><RK>0</RK><S>content areas in Focus in High School Mathematics: Reasoning and Sense &lt;br&gt; Making: (1) Number and Mea- surement, (2) Algebraic Symbols (3) &lt;b&gt;Functions&lt;/b&gt;, (4)&lt;br&gt; .</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20120306113523-05&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.3)"/><Attribute name="producer" value="Adobe PDF Library 9.9"/><Attribute name="moddate" value="D:20120306113534-05&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///cc9a3ea18556ce01192e8732c67f9609d107b4225b2d488eb6ad8f6fa37c32fe"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="311"/><Attribute name="height" value="162"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcTmRfrEt4mHnRH-2od-YeAvwXWaSqS4J2rMaI39nN3xnV82FfNI_CD166k"/></DataObject></PageMap><HAS><L></L><C CID="1McqnhFQeGIJ" SZ=""></C><RT></RT></HAS></R></RES> </GSP> 
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must be rooted in reasoning, and likewise ... &lt;br&gt; Different representations of a &lt;b&gt;function&lt;/b&gt;—tables, graphs or diagrams, symbolic&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20091019165148-04&#39;00&#39;"/><Attribute name="producer" value="Creo Normalizer JTP"/><Attribute name="moddate" value="D:20091019165208-04&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///110894feec62574c2c53ce9b5d5ca0442de1010242eea7e4c7f4910e0cb6c9ae"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="244"/><Attribute name="height" value="207"/><Attribute name="src" value="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcQ58g2Ad9i61cFvg3GJo4vzNk41sgZ9jjWkSKBIhqenfQqx4zaQZw5Y41M"/></DataObject></PageMap><HAS><L></L><C CID="2aDcWQIndRcJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R N="3"><U>http://www.nctm.org/store/Products/Putting-Essential-Understanding-of-Functions-into-Practice-in-Grades-9-12/</U><UE>http://www.nctm.org/store/Products/Putting-Essential-Understanding-of-Functions-into-Practice-in-Grades-9-12/</UE><T>Putting Essential Understanding of &lt;b&gt;Functions&lt;/b&gt; into Practice in Grades ...</T><RK>0</RK><BYLINEDATE>1393660800</BYLINEDATE><S>Mar 1, 2014 &lt;b&gt;...&lt;/b&gt; Do they believe that every &lt;b&gt;function&lt;/b&gt; can be modeled by an equation? 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Maximize&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=tGBUH3dWUPg%3D"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="78"/><Attribute name="height" value="112"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSQQItxTuIGZf_H-sovnfcnEmksfvr1cPP81sNYcrcHcK_Gs_ouT10lfA"/></DataObject></PageMap><HAS><L></L><C CID="lxak9KVw1FsJ" SZ="135k"></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R MIME="application/pdf" N="4"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=%2FFMWTCD2i9I%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3D%252FFMWTCD2i9I%253D</UE><T>Chapter 1 The Concept of a &lt;b&gt;Function&lt;/b&gt;</T><RK>0</RK><S>&lt;b&gt;Functions&lt;/b&gt; are single-valued mappings from one set—the domain of the &lt;b&gt;function&lt;/b&gt;&lt;br&gt; — to another—its range. 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Scott Steketee and Daniel Scher. &lt;br&gt; Transformations using dynamic software can provide a unique perspective on a&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="RtUqwqO_xF8J" SZ="130k"></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="7"><U>http://www.nctm.org/publications/mathematics-teaching-in-middle-school/blog/teaching-students-about-functions-with-dynagraphs/</U><UE>http://www.nctm.org/publications/mathematics-teaching-in-middle-school/blog/teaching-students-about-functions-with-dynagraphs/</UE><T>Teaching Students about &lt;b&gt;Functions&lt;/b&gt; with Dynagraphs - National ...</T><RK>0</RK><BYLINEDATE>1408172400</BYLINEDATE><S>Aug 16, 2014 &lt;b&gt;...&lt;/b&gt; &lt;b&gt;Function&lt;/b&gt; is a fundamental concept in mathematics; it is one that students explore &lt;br&gt; repeatedly, at increasing levels of sophistication, throughout&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Publications/mathematics_teaching_in_middle_school/MTMS_Blog/MTMS_blog_2014-06-09_Art01(1).png"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="406"/><Attribute name="height" value="124"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQSnIkPbZoYfVu9EHY8sV5-21GMWwcWyk-OQOYIZ1T88V3AyKIZn1Qw1g"/></DataObject></PageMap><HAS><L></L><C CID="6YTNtA_viLwJ" SZ="127k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R N="8"><U>http://www.nctm.org/publications/article.aspx?id=39204</U><UE>http://www.nctm.org/publications/article.aspx%3Fid%3D39204</UE><T>Exploring &lt;b&gt;Function&lt;/b&gt; Transformations Using the Common Core ...</T><RK>0</RK><S>Tying your teaching approach to the Common Core Standard for Geometry and &lt;br&gt; Congruence will help students understand why &lt;b&gt;functions&lt;/b&gt; behave as they do.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="YsbAV7SxAhoJ" SZ="128k"></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="9"><U>http://www.nctm.org/uploadedFiles/Professional_Development/FHSM_Video_Library_Task_Force/CCRA_Cluster/A%20Mathematician's%20View.pdf</U><UE>http://www.nctm.org/uploadedFiles/Professional_Development/FHSM_Video_Library_Task_Force/CCRA_Cluster/A%2520Mathematician%27s%2520View.pdf</UE><T>&lt;b&gt;Functions&lt;/b&gt; are an indispensable object and tool of pure and applied ...</T><RK>0</RK><S>Mathematicians use various &lt;b&gt;function&lt;/b&gt; representations to gain insight into &lt;br&gt; mathematical systems and pure and applied problems. 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Chambers ... Karen A., Patterns and &lt;b&gt;Functions&lt;/b&gt;. &lt;br&gt; Feb .. 312- 13. ..... &lt;b&gt;Real Life&lt;/b&gt; Math Mysteries: A Kid&amp;#39;s Answer to the. 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.... in &lt;b&gt;real life&lt;/b&gt;? .... better understanding of &lt;b&gt;functions&lt;/b&gt; and their application &lt;br&gt; to.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20110913162717-04&#39;00&#39;"/><Attribute name="moddate" value="D:20110919124803-04&#39;00&#39;"/><Attribute name="producer" value="Acrobat Distiller 9.4.5 (Macintosh)"/><Attribute name="title" value="untitled"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///9c0dab7bcf41d03120a08f6384deef4e5932963ccb3f9e6f6b85c0fd208e2674"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="269"/><Attribute name="height" value="188"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcTBhVI2EHdqPxbq6KMFVsCsi4GhBb2NQB3lb__raq1wO_rfjbc4oKNxTFw"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R MIME="application/pdf" N="75"><U>http://www.nctm.org/Publications/teaching-children-mathematics/2007/Vol13/Issue9/tcm2007-05-457a_pdf/</U><UE>http://www.nctm.org/Publications/teaching-children-mathematics/2007/Vol13/Issue9/tcm2007-05-457a_pdf/</UE><T>Download PDF</T><RK>0</RK><S>investigate &lt;b&gt;real&lt;/b&gt; problems as they arise and ensuring. Posing Problems .... &lt;b&gt;life&lt;/b&gt;.… &lt;br&gt; Because you know something more, it&amp;#39;s like adding to your knowledge. Because &lt;br&gt; you .... space for a school &lt;b&gt;function&lt;/b&gt;, such as a carnival or a field day, might ask&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20070423113739-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS2 (4.0.5)"/><Attribute name="producer" value="Adobe PDF Library 7.0"/><Attribute name="moddate" value="D:20070423115158-04&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///6706654f9661fdcfc6c89e5840dbcfceb7a91b2c3ed11a57cd437c90ede8e2f5"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="256"/><Attribute name="height" value="197"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcSPxF70JaN6n1NnsjzSUFQpZvfx_gcNEj21YvQg3UtfTpkDzzT4xs0RRkw"/></DataObject></PageMap><HAS><L></L><C CID="8QGCXyVvnpAJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R MIME="application/pdf" N="76"><U>http://www.nctm.org/Publications/Teaching-Children-Mathematics/1997/Vol1/Issue1/INDEX-to-TEACHING-CHILDREN-MATHEMATICS-(1997-1998)-Vol_-4_pdf/</U><UE>http://www.nctm.org/Publications/Teaching-Children-Mathematics/1997/Vol1/Issue1/INDEX-to-TEACHING-CHILDREN-MATHEMATICS-(1997-1998)-Vol_-4_pdf/</UE><T>Download PDF</T><RK>0</RK><S>necting Statistics with &lt;b&gt;Real Life&lt;/b&gt;. Sept., 14-19. ..... The &lt;b&gt;Function&lt;/b&gt; Box and Founh &lt;br&gt; Graders: Squares, ... All About Us: Connecting Statistics wnh &lt;b&gt;Real Life&lt;/b&gt;. Sept.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20130613120129-04&#39;00&#39;"/><Attribute name="producer" value="Adobe Acrobat 10.1.3 Paper Capture Plug-in"/><Attribute name="moddate" value="D:20130613120154-04&#39;00&#39;"/><Attribute name="title" value="TCM_VOL_4_1997-98"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///f6413fce9c9e04a1ee5eaf35824cba285c0a10b905f403a6b467db15dc772536"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="195"/><Attribute name="height" value="259"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRwud8tThlC3qH6zGeuXpcvIWMyiktcOk0V7BDN6mY2TbFbUfpwdcIvghM"/></DataObject></PageMap><HAS><L></L><C CID="uoScdjquD2AJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="77"><U>http://www.nctm.org/Publications/mathematics-teacher/2014/Vol108/Issue4/Curiosity-_-Connections/</U><UE>http://www.nctm.org/Publications/mathematics-teacher/2014/Vol108/Issue4/Curiosity-_-Connections/</UE><T>Curiosity &amp;amp; Connections - National Council of Teachers of ...</T><RK>0</RK><S>... podcasts (Hanson 2013), video clips (Meyer 2011), or &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; photographs .... &lt;br&gt; is higher for Jordan&amp;#39;s &lt;b&gt;function&lt;/b&gt; than for Shaq&amp;#39;s &lt;b&gt;function&lt;/b&gt; and since the slope of&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Publications/mathematics_teacher/2014/Vol108/Issue4/288-295%20F-Lim_1.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="259"/><Attribute name="height" value="195"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRte4-eCgRBFwfBYX_fa3h9qykp8XriwoZXZW5wiGF99DIeS2mQ0bYW6Y7c"/></DataObject></PageMap><HAS><L></L><C CID="5m4gcD5_74IJ" SZ="189k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R MIME="application/pdf" N="78"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Regional_Conferences_and_Expositions/2012%20Dallas%20Program%20Book.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Regional_Conferences_and_Expositions/2012%2520Dallas%2520Program%2520Book.pdf</UE><T>2012 Dallas Regional Conference Program Book [PDF]</T><RK>0</RK><BYLINEDATE>1285916400</BYLINEDATE><S>Oct 1, 2010 &lt;b&gt;...&lt;/b&gt; come to life in your classroom, explaining the core elements and then &amp;middot; providing &lt;br&gt; detailed ...... their reasoning, and analyze complex &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; scenarios by ... &lt;br&gt; while analyzing structures and &lt;b&gt;functions&lt;/b&gt; of living systems? this.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20120921092300-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.3)"/><Attribute name="moddate" value="D:20120924130228-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 9.9"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///11173151cda92b71e458a1beae3ce47658f659d6bb6566955fdaa6f8d2be8229"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="272"/><Attribute name="height" value="185"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcR5lmjgb9J9NtLQR_gGv5o6etgXFfVE_Q-f_ZdvxFpR68xVLlhuaxD7UXU"/></DataObject></PageMap><HAS><L></L><C CID="KWf8W4OkwH4J" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="79"><U>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2013/Vol19/Issue3/mtms2013-10-189a_pdf/</U><UE>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2013/Vol19/Issue3/mtms2013-10-189a_pdf/</UE><T>Download PDF</T><RK>0</RK><S>Unit 1: Introduction to &lt;b&gt;Functions&lt;/b&gt; and ... tion,” in which she shares a &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; ... &lt;br&gt; &lt;b&gt;functions&lt;/b&gt;. 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Problem solving, &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; applications, conceptual &amp;middot; &lt;br&gt; understanding ...... 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Solve &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; and mathematical problems using numerical and algebraic&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/store/Products/14586.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="144"/><Attribute name="height" value="112"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQiA31Ng_L8NsPF09rlzcO9rQRYtRy1ws_oikRcjf0ue0ZGd-oISIznQxI"/></DataObject></PageMap><HAS><L></L><C CID="AI1jED5lnZsJ" SZ="152k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R MIME="application/pdf" N="58"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Annual_Meeting_and_Exposition/2008-Annual-Program-Book.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Annual_Meeting_and_Exposition/2008-Annual-Program-Book.pdf</UE><T>Y</T><RK>0</RK><BYLINEDATE>1207724400</BYLINEDATE><S>Apr 9, 2008 &lt;b&gt;...&lt;/b&gt; Other Group &lt;b&gt;Functions&lt;/b&gt; . .... the host of the 2002 Olympic Winter Games and is &lt;br&gt; world-re- nowned for its ...... What do you do, and what will you do, in your &lt;br&gt; teaching to connect data analysis and probability with the &lt;b&gt;real world&lt;/b&gt;? 19.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20080116103221-05&#39;00&#39;"/><Attribute name="producer" value="Acrobat Distiller 7.0.5 for Macintosh"/><Attribute name="moddate" value="D:20080131144015-05&#39;00&#39;"/><Attribute name="title" value="untitled"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///4d436a638c89aaa7ef9429c9b0b6d9e1bb1da0990b6480c5e57ded639bb49c56"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="216"/><Attribute name="height" value="233"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcSll1KZPuWdWX64fJmdtgZrCGDGRadrB72yONHpG7g0vIK6fPuqcHLWHQ0q"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="59"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Regional_Conferences_and_Expositions/Past_and_Future/Nashville-Regional-Program-Book.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Regional_Conferences_and_Expositions/Past_and_Future/Nashville-Regional-Program-Book.pdf</UE><T>Nashville Regional Conference Program Book [PDF]</T><RK>0</RK><S>231 Keeping It Real: Authentic &lt;b&gt;Real&lt;/b&gt;-&lt;b&gt;World&lt;/b&gt; Math Lessons (Middle. School). 277 &lt;br&gt; Fumbling toward Inquiry: ..... equations, &lt;b&gt;functions&lt;/b&gt;, and statistics, while reinforcing.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20150929124204-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS6 (Macintosh)"/><Attribute name="moddate" value="D:20150929131246-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 10.0.1"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///0a86559db64e5949c049489cde69218deca100c6c70ca338ad6305d5e6770da5"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="240"/><Attribute name="height" value="210"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcS6pZ6caVfGFwZAcXdU5r7I9jhUZBd4Wjg18DIWe3lbsXO5bfG5XGu73YQ"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R MIME="application/pdf" N="60"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=xnTJCNxwBLY%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DxnTJCNxwBLY%253D</UE><T>Contents</T><RK>0</RK><S>It&amp;#39;s a Factor of Life . . . . . . . . . . . . . . . . . . 153 ... Patterns and &lt;b&gt;Functions&lt;/b&gt;. Pentagonal &lt;br&gt; Patterns in the ... MTMS February 1997. Algebra: &lt;b&gt;Real&lt;/b&gt;-&lt;b&gt;Life&lt;/b&gt; Investigations.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="producer" value="Acrobat Distiller 5.0.5 for Macintosh"/><Attribute name="moddate" value="Mon Jul 21 05:06:52 2003"/><Attribute name="creationdate" value="Mon Jul 21 05:06:52 2003"/></DataObject></PageMap><HAS><L></L><C CID="Oj-EWaWqzjIJ" SZ=""></C><RT></RT></HAS></R></RES> </GSP> 
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I supported this simplified explanation with some &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; examples, such as&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Publications/Mathematics_Teaching_in_Middle_School/2015/Vol20/Issue9/pp%20548-555%20F-Chan%20copy_1.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="258"/><Attribute name="height" value="195"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSC1zETqPXNftn_qdQskB2t2rYs9he2JpU6N7XueQP6t2nXmtZbFxJRcnY"/></DataObject></PageMap><HAS><L></L><C CID="A1tCtV3WZpYJ" SZ="175k"></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R MIME="application/pdf" N="42"><U>https://www.nctm.org/uploadedFiles/Standards_and_Positions/Common_Core_State_Standards/3_Ontario_content_expectation.pdf</U><UE>https://www.nctm.org/uploadedFiles/Standards_and_Positions/Common_Core_State_Standards/3_Ontario_content_expectation.pdf</UE><T>CCSSM</T><RK>0</RK><S>... or real life uses to focus on magnitude. 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Grade 11 &lt;br&gt; &lt;b&gt;Functions&lt;/b&gt;.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20130201105416-05&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.4)"/><Attribute name="moddate" value="D:20131004111523-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 9.9"/></DataObject></PageMap><HAS><L></L><C CID="5OEXW-IQaqoJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R N="43"><U>http://www.nctm.org/Publications/teaching-children-mathematics/2015/Vol21/Issue6/Count-On-It_-Congruent-Manipulative-Displays/</U><UE>http://www.nctm.org/Publications/teaching-children-mathematics/2015/Vol21/Issue6/Count-On-It_-Congruent-Manipulative-Displays/</UE><T>Count On It: Congruent Manipulative Displays - National Council of ...</T><RK>0</RK><S>Manipulative displays are well suited to serve as proxies for &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; problems, &lt;br&gt; taking on the role of .... A template &lt;b&gt;functions&lt;/b&gt; much like an egg carton. 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Use &lt;br&gt; &lt;b&gt;functions&lt;/b&gt; to model relationships between quantities.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Classroom_Resources/Lesson_Plans/3737.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="120"/><Attribute name="height" value="120"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRpRYKk2ML6mHrIQwO3dhgJeGU3eRP-WktJhTq4HxRSHnK5IuTWwNuA"/></DataObject></PageMap><HAS><L></L><C CID="2OiNWLrlTkYJ" SZ="576k"></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R MIME="application/pdf" N="45"><U>http://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=frCh19YTMhA%3D</U><UE>http://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DfrCh19YTMhA%253D</UE><T>Preface (PDF)</T><RK>0</RK><S>graphs, such as graphs of &lt;b&gt;functions&lt;/b&gt; or graphs used in data analysis. ... Mathe- &lt;br&gt; matical modeling is a multistep process of solving a &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; problem by using&lt;br&gt; &amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20080319142027-04&#39;00&#39;"/><Attribute name="author" value="Rebecca Totten"/><Attribute name="creator" value="QuarkXPress: pictwpstops filter 1.0"/><Attribute name="producer" value="Acrobat Distiller 7.0.5 for Macintosh"/><Attribute name="moddate" value="D:20080319142027-04&#39;00&#39;"/><Attribute name="title" value="12996 Discrete Mth jo.QXP"/></DataObject></PageMap><HAS><L></L><C CID="LOvlGT1QFXcJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R MIME="application/pdf" N="46"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Annual_Meeting_and_Exposition/2010-Annual-Program-Book.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Annual_Meeting_and_Exposition/2010-Annual-Program-Book.pdf</UE><T>San Diego</T><RK>0</RK><S>in topics such as patterns, &lt;b&gt;functions&lt;/b&gt;, and rate of change. .... that connect to the &lt;br&gt; &lt;b&gt;real world&lt;/b&gt; and reinforce skills and .... photos of &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; models, and software.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100315124104-04&#39;00&#39;"/><Attribute name="creator" value="Adobe Acrobat 8.1 Combine Files"/><Attribute name="producer" value="Acrobat Distiller 8.1.0 (Macintosh)"/><Attribute name="moddate" value="D:20100315124148-04&#39;00&#39;"/><Attribute name="title" value="untitled"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///9d9c89d5bbc96c55a92ab336f16aa8c5a16d98a336aa5c52e2aea3348951ec53"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="273"/><Attribute name="height" value="184"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcTbGt44dLK81LxNg_hlaEEDM1sN8ZeA7mHqAI1fZujW5PdLJc4rrTVR_vVX"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R MIME="application/pdf" N="47"><U>http://www.nctm.org/Conferences-and-Professional-Development/Principles-to-Actions-Toolkit/Resources/2-HS-Shackelford-BikeandTruck-Task/</U><UE>http://www.nctm.org/Conferences-and-Professional-Development/Principles-to-Actions-Toolkit/Resources/2-HS-Shackelford-BikeandTruck-Task/</UE><T>Bike and Truck</T><RK>0</RK><S>The graph below shows their positions as a &lt;b&gt;function&lt;/b&gt; of time. ... Note: Some &lt;br&gt; inconsistencies exist in how the graphs model the &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; movement of a bike &lt;br&gt; and&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20150406120450-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CC (Windows)"/><Attribute name="moddate" value="D:20150406120543-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 10.0.1"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///7076610f4c48383368cc23d0e47d9ef329603621452c49515715ec2590a8bbd4"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="250"/><Attribute name="height" value="202"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcQdN1fBIu0ndPiqEiLKk_hKRO7PyRz10LmzM--_6UwV2z10rzO9W2c6vXM"/></DataObject></PageMap><HAS><L></L><C CID="3p3P7j4oMdwJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R N="48"><U>http://www.nctm.org/Publications/Mathematics-Teacher/2015/Vol109/Issue2/?ref=1</U><UE>http://www.nctm.org/Publications/Mathematics-Teacher/2015/Vol109/Issue2/%3Fref%3D1</UE><T>Issue2 - National Council of Teachers of Mathematics</T><RK>0</RK><S>The absolute value &lt;b&gt;function&lt;/b&gt; opens the door to a better way to solve problems ... &lt;br&gt; task with three hallmarks of a good problem offers the flexibility to model &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt;,&lt;br&gt; &amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="88lmPfFoh28J" SZ="137k"></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="49"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Annual_Meeting_and_Exposition/2013-Annual-Program-Book.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Annual_Meeting_and_Exposition/2013-Annual-Program-Book.pdf</UE><T>Denver</T><RK>0</RK><BYLINEDATE>1366268400</BYLINEDATE><S>Apr 18, 2013 &lt;b&gt;...&lt;/b&gt; &lt;b&gt;Real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; material for instruction and exploration as well as ...... students &lt;br&gt; understand rates of change, &lt;b&gt;function&lt;/b&gt; rules, and param- eters.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20130318135132-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.4)"/><Attribute name="moddate" value="D:20130401140243-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 9.9"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///23113d4ed5e3e8f95d70eeaacbe328cc8d15ca9184b4116ce63715005162a844"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="221"/><Attribute name="height" value="228"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcQZL-bEj7il2MdiQY2GLRhXvTOca3MmIeUrHp_RkGsPnDpttRTpoakUekLq"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R N="50"><U>https://www.nctm.org/store/Products/(eBook)-Putting-Essential-Understanding-of-Fractions-into-Practice,-Grades-3-5-(PDF-Downloads)/</U><UE>https://www.nctm.org/store/Products/(eBook)-Putting-Essential-Understanding-of-Fractions-into-Practice,-Grades-3-5-(PDF-Downloads)/</UE><T>(eBook) Putting Essential Understanding of Fractions into Practice ...</T><RK>0</RK><BYLINEDATE>1364799600</BYLINEDATE><S>Apr 1, 2013 &lt;b&gt;...&lt;/b&gt; ... but also in higher-level mathematics and a myriad of &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; contexts. ... &lt;br&gt; Developing Essential Understanding of &lt;b&gt;Functions&lt;/b&gt; for Teaching&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=7BqC1kQ4q9g%3D"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="78"/><Attribute name="height" value="112"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcQN6PftbhvU2su1_n97RlI-kW5jSJq-1urKs2TKywDUaOfG4oKhu3p9"/></DataObject></PageMap><HAS><L></L><C CID="xe4fKZhacGUJ" SZ="138k"></C><RT></RT></HAS></R></RES> </GSP> 
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7/23/2016 9:01:04 AMSeach Results: <?xml version="1.0" encoding="UTF-8" standalone="no"?> <GSP VER="3.2"> <TM>0.195879</TM><Q>function real life</Q> <PARAM js_escaped_value="012414586328843467846:9xpvoxti6co" name="cx" original_value="012414586328843467846:9xpvoxti6co" url_escaped_value="012414586328843467846%3A9xpvoxti6co" value="012414586328843467846:9xpvoxti6co"></PARAM><PARAM js_escaped_value="google-csbe" name="client" original_value="google-csbe" url_escaped_value="google-csbe" value="google-csbe"></PARAM><PARAM js_escaped_value="xml_no_dtd" name="output" original_value="xml_no_dtd" url_escaped_value="xml_no_dtd" value="xml_no_dtd"></PARAM><PARAM js_escaped_value="10" name="num" original_value="10" url_escaped_value="10" value="10"></PARAM><PARAM js_escaped_value="30" name="start" original_value="30" url_escaped_value="30" value="30"></PARAM><PARAM js_escaped_value="function real life" name="q" original_value="function+real+life" url_escaped_value="function+real+life" value="function real life"></PARAM><PARAM js_escaped_value="AELymgUju-C2A0fCvqktv40ht3ezEzAB9VqutiJaIgLqM66H98W9l3SCeMs1vjf_SkdWsu71AMc61zrqGqBubZozutgV5JXCQheULqxUdfDP_vOCbvGQtgw" name="adkw" original_value="AELymgUju-C2A0fCvqktv40ht3ezEzAB9VqutiJaIgLqM66H98W9l3SCeMs1vjf_SkdWsu71AMc61zrqGqBubZozutgV5JXCQheULqxUdfDP_vOCbvGQtgw" url_escaped_value="AELymgUju-C2A0fCvqktv40ht3ezEzAB9VqutiJaIgLqM66H98W9l3SCeMs1vjf_SkdWsu71AMc61zrqGqBubZozutgV5JXCQheULqxUdfDP_vOCbvGQtgw" value="AELymgUju-C2A0fCvqktv40ht3ezEzAB9VqutiJaIgLqM66H98W9l3SCeMs1vjf_SkdWsu71AMc61zrqGqBubZozutgV5JXCQheULqxUdfDP_vOCbvGQtgw"></PARAM><PARAM js_escaped_value="en" name="hl" original_value="en" url_escaped_value="en" value="en"></PARAM><PARAM js_escaped_value="UTF-8" name="oe" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="UTF-8" name="ie" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="0" name="boostcse" original_value="0" url_escaped_value="0" value="0"></PARAM><Context><title>NCTM Search</title><total_results>181</total_results><Facet><FacetItem><label>classroom_resource</label><count>0</count><anchor_text>Classroom Resource</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>store</label><count>0</count><anchor_text>Store</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>publication</label><count>0</count><anchor_text>Publication</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>standards</label><count>0</count><anchor_text>Standards</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>news_event</label><count>0</count><anchor_text>News/Event</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem></Facet><Facet><FacetItem><label>professional_development</label><count>0</count><anchor_text>Professional Development</anchor_text><label_op>more</label_op></FacetItem></Facet></Context><RES EN="40" SN="31"> <M>295</M> <FI></FI><NB><PU>/custom?q=function+real+life&amp;client=google-csbe&amp;cx=012414586328843467846:9xpvoxti6co&amp;hl=en&amp;boostcse=0&amp;output=xml_no_dtd&amp;ie=UTF-8&amp;oe=UTF-8&amp;prmd=ivns&amp;ei=nWqTV-LuMcjxmQGl66K4AQ&amp;start=20&amp;sa=N</PU><NU>/custom?q=function+real+life&amp;client=google-csbe&amp;cx=012414586328843467846:9xpvoxti6co&amp;hl=en&amp;boostcse=0&amp;output=xml_no_dtd&amp;ie=UTF-8&amp;oe=UTF-8&amp;prmd=ivns&amp;ei=nWqTV-LuMcjxmQGl66K4AQ&amp;start=40&amp;sa=N</NU></NB> <RG SIZE="10" START="1"></RG><RG SIZE="1" START="1"></RG><R N="31"><U>http://www.nctm.org/Classroom-Resources/Success-Stories/Illuminations-%E2%80%93-Not-Just-for-Students/</U><UE>http://www.nctm.org/Classroom-Resources/Success-Stories/Illuminations-%25E2%2580%2593-Not-Just-for-Students/</UE><T>Illuminations – Not Just for Students - National Council of Teachers ...</T><RK>0</RK><S>The lesson also provides teachers with an opportunity to model &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; data &lt;br&gt; using a &lt;b&gt;function&lt;/b&gt;.&amp;quot; For the professional development program, Cleaves has &lt;br&gt; created&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Classroom_Resources/Success_Stories/Thumbs%20Up.png?n=5769"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="80"/><Attribute name="height" value="80"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSRE51zxdnV5Km6XCqi2XPpdht7tOuslHS8K7kqkj6bS3f9nTHCaMMVNQ"/></DataObject></PageMap><HAS><L></L><C CID="KhB3rrSgq2oJ" SZ="103k"></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R MIME="application/pdf" N="32"><U>https://www.nctm.org/uploadedFiles/Standards_and_Positions/PSSM_ExecutiveSummary.pdf</U><UE>https://www.nctm.org/uploadedFiles/Standards_and_Positions/PSSM_ExecutiveSummary.pdf</UE><T>Principles and Standards Executive Summary</T><RK>0</RK><S>everyday life and in the workplace has never been greater and will continue to &lt;br&gt; increase. .... of mathematics such as number, geometry, &lt;b&gt;functions&lt;/b&gt;, and statistical &lt;br&gt; ideas. ... ularities in both &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; and mathematical situations. They ask if &lt;br&gt; those&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20040107084057-05&#39;00&#39;"/><Attribute name="moddate" value="D:20040107084057-05&#39;00&#39;"/><Attribute name="producer" value="Acrobat Distiller 5.0.5 for Macintosh"/><Attribute name="author" value="nctm"/><Attribute name="creator" value="Adobe InDesign 2.0.2"/><Attribute name="title" value="12752_Exec Summary_v3"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///c370fcf1b92f453dedd2727bf28ec34342bab58f84771e0a0726cf57b4d28397"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="230"/><Attribute name="height" value="219"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcTNwMkO4n1ynGK1dZDty6QlL9H2KlTFMQo212hIMdnRw-QhTLRuRQ3mOBkP"/></DataObject></PageMap><HAS><L></L><C CID="e9pEy3NkDBcJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R MIME="application/pdf" N="33"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=fdF83Gklg64%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DfdF83Gklg64%253D</UE><T>Read an Excerpt (PDF)</T><RK>0</RK><S>concepts include setting up ratios to represent &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; situations, unit rates, and &lt;br&gt; using .... F.4, “Construct a &lt;b&gt;function&lt;/b&gt; to model a linear relationship between two.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20131024103259-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.4)"/><Attribute name="moddate" value="D:20131024103352-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 9.9"/></DataObject></PageMap><HAS><L></L><C CID="g8rfTB1vdtsJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R N="34"><U>http://www.nctm.org/presentation-picker/</U><UE>http://www.nctm.org/presentation-picker/</UE><T>Presentation Picker - National Council of Teachers of Mathematics</T><RK>0</RK><S>&lt;b&gt;Real Life&lt;/b&gt; Math in 6 to 8 School. Students always enjoy ..... Engaging the &lt;br&gt; Struggling Learner to Understand Patterns, Relations, and &lt;b&gt;Functions&lt;/b&gt;. Explore &lt;br&gt; growing&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="5pwCds6aEu0J" SZ="307k"></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R N="35"><U>http://www.nctm.org/Publications/mathematics-teacher/2009/Vol103/Issue3/?ref=1</U><UE>http://www.nctm.org/Publications/mathematics-teacher/2009/Vol103/Issue3/%3Fref%3D1</UE><T>Issue3 - National Council of Teachers of Mathematics</T><RK>0</RK><S>Modeling and then designing a picket fence allows students to use &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; ... &lt;br&gt; Analyzing and discussing examples and nonexamples of &lt;b&gt;functions&lt;/b&gt; can help&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="CrOTf7qRB6IJ" SZ="142k"></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R MIME="application/pdf" N="36"><U>http://www.nctm.org/Publications/mathematics-teacher/2010/Vol104/Issue1/mt2010-08-58a_pdf/</U><UE>http://www.nctm.org/Publications/mathematics-teacher/2010/Vol104/Issue1/mt2010-08-58a_pdf/</UE><T>How Long Does it take a Person to sober Up? some Mathematics ...</T><RK>0</RK><S>integrating &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; mathematics across such cur- ... and exponential &lt;b&gt;functions&lt;/b&gt; &lt;br&gt; as well as an under- ... dents will understand the concept of half-life and be.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100720163912-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20100720171648-04&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///236d015bfc553419147783adb942fd52cf1d53ed582ded46ef221f0b3c25b788"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="223"/><Attribute name="height" value="226"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcT_ofVmOnclc7ZNZYdwcnrdH96rF3OjPRnnBE-aX1ojo06kyhmIWqhWx5E"/></DataObject></PageMap><HAS><L></L><C CID="Ve9Zqagp3lwJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R MIME="application/pdf" N="37"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=za%2F22FFw%2BF8%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3Dza%252F22FFw%252BF8%253D</UE><T>Preface</T><RK>0</RK><S>&lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; situations, and they are increasingly able to extract abstract ideas from &lt;br&gt; real- ... &lt;b&gt;Functions&lt;/b&gt;, Geometry, Statistics and Probability, and Number and Quantity.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20121002093852-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.3)"/><Attribute name="moddate" value="D:20121002094038-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 9.9"/></DataObject></PageMap><HAS><L></L><C CID="lpA7TvTd7ZQJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R MIME="application/pdf" N="38"><U>http://www.nctm.org/uploadedFiles/Professional_Development/FHSM_Video_Library_Task_Force/CCRA_Cluster/Connect%20NCTM%20Process%20to%20CCSSM_Practice%202(1).pdf</U><UE>http://www.nctm.org/uploadedFiles/Professional_Development/FHSM_Video_Library_Task_Force/CCRA_Cluster/Connect%2520NCTM%2520Process%2520to%2520CCSSM_Practice%25202(1).pdf</UE><T>Reason Abstractly and Quantitatively PRA TICE 1 PRA TICE 2 PRA ...</T><RK>0</RK><S>When students must explain the relationship between the &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; context of a &lt;br&gt; ..... Understanding rate of change is important for understanding &lt;b&gt;functions&lt;/b&gt; and&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20140402120717-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.4)"/><Attribute name="producer" value="Adobe PDF Library 9.9"/><Attribute name="moddate" value="D:20140402120728-04&#39;00&#39;"/></DataObject></PageMap><HAS><L></L><C CID="SjFqIPYAgQQJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="39"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Regional_Conferences_and_Expositions/2013%20Baltimore%20Program%20Book.pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Regional_Conferences_and_Expositions/2013%2520Baltimore%2520Program%2520Book.pdf</UE><T>2012 Baltimore Regional Conference Program Book [PDF]</T><RK>0</RK><S>showcase the connectedness and &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; applications of our essential ..... &lt;br&gt; How can we help students view the complex ideas of &lt;b&gt;functions&lt;/b&gt; in a variety of &lt;br&gt; ways&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20130830135057-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.4)"/><Attribute name="moddate" value="D:20130920090902-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 9.9"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///c3a332125eca6fd1ba4d8ade2714c648fac4f78de638b4fc5b8059a80c836ea5"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="286"/><Attribute name="height" value="176"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRcV539DfYqb2Kq3n_6vRwfHcFwuH2RELptNBleIRZhd8YQubEaWvWN87I"/></DataObject></PageMap><HAS><L></L><C CID="6XBUjCtCe-YJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R N="40"><U>http://www.nctm.org/Grants-and-Awards/Past-Awardees/Tan-Huynh/</U><UE>http://www.nctm.org/Grants-and-Awards/Past-Awardees/Tan-Huynh/</UE><T>Tan Huynh - National Council of Teachers of Mathematics</T><RK>0</RK><S>Tan Huynh Shaping the &lt;b&gt;World&lt;/b&gt; We Live In Understanding shapes require &lt;br&gt; students to look at its structure and determine if its form satisfies its &lt;b&gt;function&lt;/b&gt;. With &lt;br&gt; the ... and 3D printing, students at the middle school level can simulate and &lt;br&gt; prototype &lt;b&gt;real&lt;/b&gt;-</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="4d_gyHyoEzwJ" SZ="100k"></C><RT></RT></HAS></R></RES> </GSP> 
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Use &lt;br&gt; &lt;b&gt;functions&lt;/b&gt; to model relationships between quantities.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Classroom_Resources/Lesson_Plans/750.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="120"/><Attribute name="height" value="120"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcTg6UR68MQeW8R_P5BmkhhiQsqXAx7stwuGtCXL2pSYqlVpZwMhjXc94Q"/></DataObject></PageMap><HAS><L></L><C CID="Y2E5fHVF7c8J" SZ="575k"></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R MIME="application/pdf" N="24"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=gKQB43kESOY%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DgKQB43kESOY%253D</UE><T>Table of Contents</T><RK>0</RK><S>Graphs in Real Time. Charlene E. Beckmann and ... Mathematics Teacher. &lt;br&gt; Algebra: &lt;b&gt;Real&lt;/b&gt;-&lt;b&gt;Life&lt;/b&gt; Investigations in a Lab Setting ... The &lt;b&gt;Function&lt;/b&gt; Game. Rheta N&lt;br&gt; .</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20030514183035Z"/><Attribute name="moddate" value="D:20030514134102-05&#39;00&#39;"/><Attribute name="producer" value="Acrobat Distiller 5.0.5 for Macintosh"/><Attribute name="author" value="Nick Abrash"/><Attribute name="creator" value="QuarkXPress. 4.11: AdobePS 8.8.0 (301)"/><Attribute name="title" value="NavigationaAlg6-8_gac308"/></DataObject></PageMap><HAS><L></L><C CID="iiC80Goa2x4J" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R MIME="application/pdf" N="25"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=rfWVxv%2BBaP8%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DrfWVxv%252BBaP8%253D</UE><T>Algebra</T><RK>0</RK><S>variables, and &lt;b&gt;functions&lt;/b&gt;. The high school algebra .... Although students are not &lt;br&gt; modeling a &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; situation, task 1.2 requires that they model a mathematical&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20121002142051-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.3)"/><Attribute name="producer" value="Adobe PDF Library 9.9"/><Attribute name="moddate" value="D:20121002142114-04&#39;00&#39;"/></DataObject></PageMap><HAS><L></L><C CID="D-0uEXr_IY8J" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R MIME="application/pdf" N="26"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=LxZxyccfLXo%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DLxZxyccfLXo%253D</UE><T>Stories of Success: Changing Students&amp;#39; Lives through Sense Making ...</T><RK>0</RK><S>the &lt;b&gt;world&lt;/b&gt;. For the UK study, I followed students through their math classes for &lt;br&gt; three years and then ... unifying themes such as “What is a linear &lt;b&gt;function&lt;/b&gt;?” A &lt;br&gt; focus&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20110310114319-05&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="moddate" value="D:20110310114547-05&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 8.0"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///fa0ba148fcb31e7654f79dec0e5e00764b86cee1012b24aacc692af05d70b9f0"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="259"/><Attribute name="height" value="194"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQyIDtkiUFGx08vzed2LvkfTaD55i_aoTH0KmOgxNvgT0Vkgzrm-4uePAU"/></DataObject></PageMap><HAS><L></L><C CID="hrvaBg_NrmcJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R MIME="application/pdf" N="27"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=6s3X8mu0Y1E%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3D6s3X8mu0Y1E%253D</UE><T>Table of Contents</T><RK>0</RK><S>Building the Concept of &lt;b&gt;Function&lt;/b&gt; from Students&amp;#39; Everyday Activities. Susana &lt;br&gt; Davidenko ... Algebra: &lt;b&gt;Real&lt;/b&gt;-&lt;b&gt;Life&lt;/b&gt; Investigations in a Lab Setting. Leah P. McCoy.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20090324101042-04&#39;00&#39;"/><Attribute name="producer" value="Acrobat Distiller 8.1.0 (Macintosh)"/><Attribute name="moddate" value="D:20090324101138-04&#39;00&#39;"/><Attribute name="title" value="untitled"/></DataObject></PageMap><HAS><L></L><C CID="iC-VfL5E3tMJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R MIME="application/pdf" N="28"><U>http://www.nctm.org/Publications/mathematics-teacher/2013/Vol107/Issue1/mt2013-08-28a_pdf/</U><UE>http://www.nctm.org/Publications/mathematics-teacher/2013/Vol107/Issue1/mt2013-08-28a_pdf/</UE><T>For ELLs: Vocabulary beyond the Definitions</T><RK>0</RK><S>parent &lt;b&gt;function&lt;/b&gt; equivalent square root qualitative domain real number linear. &lt;br&gt; Copyright © 2013 The .... In addition, &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; situations can provide context for&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="Nancy S. Roberts and Mary P. 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Similarity is related .... 12. Tax status. The purpose, &lt;b&gt;function&lt;/b&gt;, and &lt;br&gt; nonprofit status of this organiza- ... in similar triangles; &lt;b&gt;function&lt;/b&gt; rules based on&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20101020113015-04&#39;00&#39;"/><Attribute name="gts_pdfxversion" value="PDF/X-1:2001"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="gts_pdfxconformance" value="PDF/X-1a:2001"/><Attribute name="moddate" value="D:20101020120817-04&#39;00&#39;"/><Attribute name="title" value="248-53 Math Expl.indd"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///1372ba9fb4793f7a681e2db36e1c4f365b9f7083a9ddbd375e4b9c637b7a2768"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="200"/><Attribute name="height" value="93"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQlM6D_dcgIcEg-Lv50l91TL4-GsMzjAM6LcpLbQKuIWL53X5EsalUHuCQ"/></DataObject></PageMap><HAS><L></L><C CID="VLFEadk335EJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R MIME="application/pdf" N="30"><U>http://www.nctm.org/Publications/mathematics-teacher/1996/Vol1/Issue1/MATHEMATICS-TEACHER-INDEX-(1996)-Vol-89_pdf/</U><UE>http://www.nctm.org/Publications/mathematics-teacher/1996/Vol1/Issue1/MATHEMATICS-TEACHER-INDEX-(1996)-Vol-89_pdf/</UE><T>Download PDF</T><RK>0</RK><S>&lt;b&gt;Functions&lt;/b&gt;: From a to c. Feb., 144-46. Elliott ... Equations for &lt;b&gt;Real&lt;/b&gt;-&lt;b&gt;Life&lt;/b&gt; Situations. &lt;br&gt; Feb.,. 154-57 (see also .... &lt;b&gt;Functions&lt;/b&gt;: Investigating Unjted States. Popu lation&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20130607140428-04&#39;00&#39;"/><Attribute name="producer" value="Adobe Acrobat 10.1.3 Paper Capture Plug-in"/><Attribute name="moddate" value="D:20130607140517-04&#39;00&#39;"/><Attribute name="title" value="MT_VOL_89_1996"/></DataObject></PageMap><HAS><L></L><C CID="76J17N-xlJEJ" SZ=""></C><RT></RT></HAS></R></RES> </GSP> 
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and mathematical problems using numerical and algebraic ... &lt;br&gt; &lt;b&gt;Functions&lt;/b&gt; Use properties of operations to generate equivalent expressions.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Content/Carousels/Slides/Barbie%20-%20Bungee%20765x362.jpg?n=5923"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="327"/><Attribute name="height" value="154"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSGAUFDWqnZtjet57a5i84kwwqHfi72hOtQkGkaYf_0OnijcTYImvMMBJs"/></DataObject></PageMap><HAS><L></L><C CID="yIRRwwLp3kkJ" SZ="130k"></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R MIME="application/pdf" N="12"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=atVLk2hRp28%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DatVLk2hRp28%253D</UE><T>conn 6to8 0 FM.indd</T><RK>0</RK><S>as “the process of describing &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; phenomena in mathematical terms ... a &lt;br&gt; good estimate of the volume of the tree as a &lt;b&gt;function&lt;/b&gt; of the measure- ment of this&lt;br&gt; &amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20080319135117-04&#39;00&#39;"/><Attribute name="author" value="Rebecca Totten"/><Attribute name="creator" value="InDesign: pictwpstops filter 1.0"/><Attribute name="producer" value="Acrobat Distiller 7.0.5 for Macintosh"/><Attribute name="moddate" value="D:20080319135256-04&#39;00&#39;"/><Attribute name="title" value="conn 6to8 0 FM.indd"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///6e4baf1ef1f0c564db7b0e4119aaa458435c25bda5a7d471e41a731576665fa9"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="200"/><Attribute name="height" value="246"/><Attribute name="src" value="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRdXWXzMILw616xSBsJNp44TrlzHlWKRN4R1UdkIusVJxNYmEHFBa0YrZl6"/></DataObject></PageMap><HAS><L></L><C CID="TVBiEzKg6P4J" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R N="13"><U>https://www.nctm.org/Store/Products/(eBook)-On-the-Money--High-School-Mathematics-Activities-to-Build-Financial-Literacy-(PDF-Downloads)/</U><UE>https://www.nctm.org/Store/Products/(eBook)-On-the-Money--High-School-Mathematics-Activities-to-Build-Financial-Literacy-(PDF-Downloads)/</UE><T>(eBook) On the Money: High School Mathematics Activities to Build ...</T><RK>0</RK><S>The related mathematical skills include analyzing and representing data, &lt;br&gt; evaluating probabilities, modeling &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; situations, creating &lt;b&gt;functions&lt;/b&gt;, and &lt;br&gt; more.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=kwEVGBk0S7Q%3D"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="132"/><Attribute name="height" value="172"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSX2WlME3mQpuigErWam6wuqOjZXAoLDje4ZWOWAgLg-2zr6R6hWOz4f4AH"/></DataObject></PageMap><HAS><L></L><C CID="wSmMyvnCM0oJ" SZ="129k"></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R MIME="application/pdf" N="14"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=BkS9DnNnlSg%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DBkS9DnNnlSg%253D</UE><T>Preface (PDF)</T><RK>0</RK><S>will need to live in the &lt;b&gt;real world&lt;/b&gt;. On the Money: Math .... of loans and how to use &lt;br&gt; &lt;b&gt;functions&lt;/b&gt; to model and explore relationships. My only negative comment.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20160314134301-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS6 (Macintosh)"/><Attribute name="moddate" value="D:20160314134327-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 10.0.1"/></DataObject></PageMap><HAS><L></L><C CID="u8f7mvBTAiwJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R N="15"><U>http://www.nctm.org/Classroom-Resources/Browse-All/?ps=20&amp;cp=1&amp;tx=1455</U><UE>http://www.nctm.org/Classroom-Resources/Browse-All/%3Fps%3D20%26cp%3D1%26tx%3D1455</UE><T>Browse All - National Council of Teachers of Mathematics</T><RK>0</RK><LISTSUMMARY>Results 1 - 20 of 76</LISTSUMMARY><S>Results 1 - 20 of 76 &lt;b&gt;...&lt;/b&gt; Solve &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; and mathematical problems using numerical and algebraic ... Use &lt;br&gt; &lt;b&gt;functions&lt;/b&gt; to model relationships between quantities.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Classroom_Resources/Interactives/TrigonometricGraphing.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="120"/><Attribute name="height" value="120"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRm47a9KFXzWvSBHO4YRFkeptuC0OSN8DrcmjK7_ZZVaWISusYYOP5a4Q"/></DataObject></PageMap><HAS><L></L><C CID="7pBMoICeQjUJ" SZ="586k"></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R N="16"><U>http://www.nctm.org/Classroom-Resources/Browse-All/?cp=1&amp;tx=1455</U><UE>http://www.nctm.org/Classroom-Resources/Browse-All/%3Fcp%3D1%26tx%3D1455</UE><T>Browse All - National Council of Teachers of Mathematics</T><RK>0</RK><LISTSUMMARY>Results 1 - 20 of 76</LISTSUMMARY><S>Results 1 - 20 of 76 &lt;b&gt;...&lt;/b&gt; Use &lt;b&gt;functions&lt;/b&gt; to model relationships between quantities. ... Graph points on the &lt;br&gt; coordinate plane to solve &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; and mathematical&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Classroom_Resources/Interactives/thumb_AdjustableSpinner.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="80"/><Attribute name="height" value="80"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcQdkiEM9ncD3ojFlwc5zu5Q9sLrI2r631Kmtbpbjdqr4HD3Rx64_xABDQ"/></DataObject></PageMap><HAS><L></L><C CID="pW0AwZvxB-gJ" SZ="576k"></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="17"><U>http://www.nctm.org/Standards-and-Positions/Position-Statements/The-Metric-System/</U><UE>http://www.nctm.org/Standards-and-Positions/Position-Statements/The-Metric-System/</UE><T>The Metric System - National Council of Teachers of Mathematics</T><RK>0</RK><S>Students need to develop an understanding of metric system units and &lt;br&gt; relationships, as well as fluency in applying the metric system to &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; &lt;br&gt; situations.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="Tq5rNr8ExOEJ" SZ="110k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R N="18"><U>http://www.nctm.org/rsmtasks/</U><UE>http://www.nctm.org/rsmtasks/</UE><T>Reasoning and Sense Making Task Library - National Council of ...</T><RK>0</RK><S>Students may use a range of &lt;b&gt;functions&lt;/b&gt; to model the situation and reflect on their &lt;br&gt; .... as well as fluency in applying the metric system to &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; situations.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Standards_and_Positions/Focus_in_High_School_Mathematics/Reasoning_and_Sense_Making_Task_Library/Calculus-250x195.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="200"/><Attribute name="height" value="156"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcTNXmDFmN7UdqQ3SjabNb9V0fMmrmqRSDLCWhnt9cWrEBqLleEQsfgb5ELB"/></DataObject></PageMap><HAS><L></L><C CID="OzuU6_0HnyAJ" SZ="147k"></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="19"><U>http://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=7HZDVlU96mY%3D</U><UE>http://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3D7HZDVlU96mY%253D</UE><T>Contents</T><RK>0</RK><S>Cluster B: Solve &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;life&lt;/b&gt; and mathematical problems using numerical and &lt;br&gt; algebraic expressions ... Sample Planning Page: &lt;b&gt;Functions&lt;/b&gt;, Grade 8, Cluster A &lt;br&gt; 145.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20160630094123-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CC 2015 (Windows)"/><Attribute name="moddate" value="D:20160630094133-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 15.0"/></DataObject></PageMap><HAS><L></L><C CID="9ZEcbiScNiIJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R MIME="application/pdf" N="20"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=ZmNd7NAfMhQ%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DZmNd7NAfMhQ%253D</UE><T>Reasoning in Geometric Modeling 4Chapter 4</T><RK>0</RK><S>together in mathematical modeling to solve &lt;b&gt;real&lt;/b&gt;-&lt;b&gt;world&lt;/b&gt; problems. When a ... be &lt;br&gt; used as a springboard for some new topics (e.g., asymptotes, inverse &lt;b&gt;functions&lt;/b&gt;,&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100921120546-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20100921120623-04&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///b5bbc3e5844ede4c52d7123b82f600dcec48dddbda149694328127e1ca7717d8"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="169"/><Attribute name="height" value="299"/><Attribute name="src" value="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRZ9RwnF1iAOHrdYwuOVeNdsxKh1JTMOxDymwxriaphKrW7epbZljCkyAY"/></DataObject></PageMap><HAS><L></L><C CID="wARO3AZC_rIJ" SZ=""></C><RT></RT></HAS></R></RES> </GSP> 
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