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<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/" id="id6183035">
  <name>Measuring and Predicting</name>
  <metadata>
  <md:version>1.1</md:version>
  <md:created>2008/06/11 18:07:35.829 GMT-5</md:created>
  <md:revised>2008/06/23 12:57:42.445 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="IMP2">
      <md:firstname/>
      
      <md:surname>IMP</md:surname>
      <md:email>cosborne@keypress.com</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="IMP2">
      <md:firstname/>
      
      <md:surname>IMP</md:surname>
      <md:email>cosborne@keypress.com</md:email>
    </md:maintainer>
    <md:maintainer id="KCP">
      <md:firstname/>
      
      <md:surname>Key</md:surname>
      <md:email>cosborne@keypress.com</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>IMP Year 1</md:keyword>
    <md:keyword>The Pit and the Pendulum</md:keyword>
  </md:keywordlist>

  <md:abstract/>
</metadata>
  <content>
    <section id="id-496265779602">
      <name>Intent</name>
      <para id="id10427454">In these activities, students will solve the unit problem and build an experimental model to confirm their solution.</para>
    </section>
    <section id="id-331756302641">
      <name>Mathematics</name>
      <para id="id9517359">The mathematical focus of the activities in <emphasis>Measuring and Predicting</emphasis> is on collecting data relating the length of a pendulum to its period, fitting a function to those data, and then making a prediction for the time it takes a 30-foot pendulum to complete 12 swings. The relationship between the period and the length is a function of the form 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:mrow><m:mi>y</m:mi><m:mo stretchy="false">=</m:mo><m:mi>c</m:mi></m:mrow><m:msqrt><m:mi>x</m:mi></m:msqrt></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{y=c sqrt {x} } {}</m:annotation></m:semantics></m:math>.</para>
    </section>
    <section id="id-933955933156">
      <name>Progression</name>
      <para id="id9865186">Students will conduct experiments in groups, make predictions, and then test those predictions as a class by constructing a 30-foot pendulum. The unit concludes with presentations of the final POW and compilation of the unit portfolio.</para>
      <para id="id8126779"><cnxn document="m16861">An Important Function</cnxn></para>
      <para id="id7356932"><cnxn document="m16862">Graphs in Search of Equations III</cnxn></para>
      <para id="id6351534"><cnxn document="m16863">The Thirty-Foot Prediction</cnxn></para>
      <para id="id3822192"><cnxn document="m16864">Mathematics and Science</cnxn></para>
      <para id="id11065177"><cnxn document="m16865">Beginning Portfolios</cnxn></para>
      <para id="id7920429"><emphasis><cnxn document="m16866">The Pit and the Pendulum</cnxn></emphasis><cnxn document="m16866"> Portfolio</cnxn></para>
    </section>
  </content>
</document>
