9e62a9ad-a1ee-468a-a834-c0ac2de70388.html

<div class="os-raise-familysupport">
  <p><a href="https://k12.openstax.org/contents/raise/resources/484602ab5bc626935473d5a8937480f3bab0b1e3" target="_blank">Access the activity sheet</a> and provide copies to your students so they can complete the project.</p>
</div>

<p>In this culminating project, students integrate the ideas from the unit and engage in multiple aspects of mathematical modeling.</p>
<p>In the first activity, they interpret and analyze given models that represent the constraints and conditions in a situation. In the second activity, they create their own models after specifying quantities of interest, identifying relevant information, and setting the constraints.
</p>

<h4>Project Activities</h4>
<ol>
  <li>Determining a Solution to Inequalities <strong>(5 minutes)</strong></li>
  <li>Interpret a Set of Mathematical Models <strong>(20 minutes)</strong></li>
  <li>Perform Mathematical Modeling <strong>(20 minutes)</strong></li>
</ol>
<h4>Required Preparation</h4>
<ol>
  <li><a href="https://k12.openstax.org/contents/raise/resources/484602ab5bc626935473d5a8937480f3bab0b1e3" target="_blank">Provide copies of the activity sheet</a> for students to use to collect their thinking.</li>
<li>Acquire devices that can run Desmos (recommended) or other graphing technology. It is ideal if each student has their own device. (If students typically access the digital version of the materials, Desmos is available under Math Tools.)</li>
</ol>

<h4>Required Materials</h4>
<ol>
  <li>Graphing technology</li>
  <li>Tools for creating a visual display</li> 
</ol>

<table class="os-raise-textheavytable">
  <caption>Learning Objectives</caption>
  <thead>
    <tr>
      <th scope="col">Learning Goals (Teacher Facing)</th>
      <th scope="col">Learning Targets (Student Facing)</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td><ul>
<li> Define the constraints in a situation and create a mathematical model to represent them.
</li>

<li> 
Interpret a mathematical model, presented as inequalities and graphs, that represents a situation.</li>

</td>
      <td>
<ul>
<li> I can interpret inequalities and graphs in a mathematical model.
</li>
<li>I know how to choose variables, specify the constraints, and write inequalities to create a mathematical model.

</li>
</ul>
</tr>
  </tbody>
</table>
<br>
<h4>Texas Essential Knowledge and Skills (TEKS)</h4>
<ul>
  <li>A1(A) apply mathematics to problems arising in everyday life, society, and the workplace</li>
  <li>A1(B) use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution</li>
  <li>A1(C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems</li>
  <li>A1(D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate</li>
  <li>A1(E) create and use representations to organize, record, and communicate mathematical ideas</li>
  <li>A1(F) analyze mathematical relationships to connect and communicate mathematical ideas</li>
  <li>A1(G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication. </li>
  <li>A2(H) write linear inequalities in two variables given a table of values, a graph, and a verbal description;&nbsp;</li>
  <li>A3(H) graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.</li>
</ul>