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               <rdf:li xml:lang="x-default">18.05.05: Using Model-Based Representation to Improve Addition and Subtraction Problem Solving in First Grade</rdf:li>
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               <rdf:li xml:lang="x-default">Math</rdf:li>
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               <rdf:li>Kristen King</rdf:li>
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         <dc:subject>
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               <rdf:li>addition</rdf:li>
               <rdf:li>subtraction</rdf:li>
               <rdf:li>problem</rdf:li>
               <rdf:li>solving</rdf:li>
               <rdf:li>operations</rdf:li>
               <rdf:li>fluency</rdf:li>
               <rdf:li>number sense</rdf:li>
               <rdf:li>algebraic</rdf:li>
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         <pdf:Keywords>addition, subtraction, problem, solving, operations, fluency, number sense, algebraic </pdf:Keywords>
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<Document>
<P>Curriculum   </P>

<Textbox>
<P>Using Model-Based Representation to Improve   </P>
<Figure>

<ImageData src="images/18.05.05_img_0.jpg"/>
</Figure>

<P>Addition and Subtraction Problem Solving in the First Grade </P>

<P> </P>
</Textbox>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_1.jpg"/>
</Figure>

<P>Kristen King </P>

<P> </P>
</Textbox>

<P>Unit Title  Author  </P>

<P>                               </P>

<P> </P>

<P>KEY LEARNING, ENDURING UNDERSTANDING, ETC. </P>

<P> </P>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_2.jpg"/>
</Figure>

<P>Word problems can be solved by first identifying the problem as a joining or separating problem, then representing the problem, and lastly, solving for the unknown.  </P>
</Textbox>

<P> </P>

<P> </P>

<P> </P>

<P> </P>

<P>ESSENTIAL QUESTION(S) for the UNIT </P>

<P> </P>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_3.jpg"/>
</Figure>

<P>How can I identify a problem as a joining or separating problem?  </P>

<P>How can I represent word problems?  </P>

<P>How do I solve for start, change, and result unknown joining or separating problems?  </P>
</Textbox>

<P> </P>

<P> </P>

<P> </P>

<P> </P>

<P>              CONCEPT A         CONCEPT B                     CONCEPT C </P>

<P> </P>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_4.jpg"/>
</Figure>

<P>Once a problem has been represented, it should be solved for the unknown (which  may be the start, change, or result).  </P>
</Textbox>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_5.jpg"/>
</Figure>

<P>Once identified as either joining or separating problems word problems should be represented.  </P>
</Textbox>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_6.jpg"/>
</Figure>

<P>Word problems must first be identified as either joining or separating problems.  </P>
</Textbox>

<P>      </P>

<P>    ESSENTIAL QUESTIONS A               ESSENTIAL QUESTIONS B    ESSENTIAL QUESTIONS C </P>

<P> </P>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_7.jpg"/>
</Figure>

<P>*What is a joining problem?  </P>

<P>*What is a separating problem?  *How do I identify a word problem as joining or separating?  </P>
</Textbox>

<P> </P>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_8.jpg"/>
</Figure>

<P>How do I solve for an unknown in an addition or subtraction equation?  </P>
</Textbox>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_9.jpg"/>
</Figure>

<P>How do I represent a word problem?  </P>
</Textbox>

<P>           </P>

<P> </P>

<P> </P>

<P> </P>

<P>            VOCABULARY A                 VOCABULARY B                       VOCABULARY C  </P>

<P> </P>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_10.jpg"/>
</Figure>

<P>Start Unknown  </P>

<P>Change Unknown  </P>

<P>Result Unknown  </P>
</Textbox>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_11.jpg"/>
</Figure>

<P>Math Mountains </P>

<P>Circle Drawings </P>

<P>Pictures  </P>

<P>Equations </P>
</Textbox>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_12.jpg"/>
</Figure>

<P>Joining Problem </P>

<P>Separating Problem </P>
</Textbox>

<P> </P>

<P> </P>

<P> </P>

<P> </P>

<P>ADDITIONAL INFORMATION/MATERIAL/TEXT/FILM/RESOURCES </P>

<P> </P>

<Textbox><Figure>

<ImageData src="images/18.05.05_img_13.jpg"/>
</Figure>

<P>See unit appendices, for all unit equations, pre- and post- assessments, handouts, and exit tickets.  </P>

<P>Will need access to chart paper, markers, and dry-erase board.  </P>
</Textbox>

<P>N </P>
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