b4bab05a-254e-4916-817b-4caae61a939c.html

<h3>Warm Up (10 minutes)</h3>
<p>This warm up introduces students to the zero product property and prepares them to use it to solve quadratic
  equations. It reminds students that if two numbers are multiplied and the result is 0, then one of the numbers has to
  be 0.</p>
<h4>Launch</h4>
<p>Display one problem at a time and ask students to respond without writing anything down. Give students quiet time to
  think individually for each problem and ask them to give a signal when they have an answer and a strategy. Keep all
  problems displayed throughout the talk. Follow with a whole-class discussion about the zero product property using the
  definition and the lesson synthesis.</p>
<p>As you discuss the solution to question 5 with students, take note that question 1 also adheres to this pattern.
  There is only one factor in question 1, \((6 + 2a)\).</p>
  <div class="os-raise-extrasupport">
    <div class="os-raise-extrasupport-header">
      <p class="os-raise-extrasupport-title">Support for English Language Learners</p>
      <p class="os-raise-extrasupport-name">MLR 8 Discussion Supports: Speaking</p>
    </div>
    <div class="os-raise-extrasupport-body">

      <p>Display sentence frames to support students when they explain their strategy. For example, “First, I _____ because . . .” or “I noticed _____ so I . . . .” Some students may benefit from the opportunity to rehearse what they will say with a partner before they share with the whole class.</p>
      <p class="os-raise-text-italicize">Design Principle(s): Optimize output (for explanation)</p>
    </div>  </div>
  <br>
  <div class="os-raise-extrasupport">
    <div class="os-raise-extrasupport-header">
      <p class="os-raise-extrasupport-title">Support for Students with Disabilities</p>
    <p class="os-raise-extrasupport-name">Representation: Internalize Comprehension</p>
   </div>
  <div class="os-raise-extrasupport-body">
      <p>To support working memory, provide students with sticky notes or mini whiteboards.</p>
      <p class="os-raise-text-italicize">Supports accessibility for: Memory; Organization</p>
    </div>
  </div>
  
<h4>Student Activity</h4>
<p>What values of the variables make each equation true?</p>
<ol class="os-raise-noindent">
  <li>\(6+2a=0\)</li>
</ol>
<p><strong>Answer:</strong>&nbsp;\(a=-3\)</p>
<ol class="os-raise-noindent" start="2">
  <li>\(7b=0\)</li>
</ol>
<p><strong>Answer:</strong>&nbsp;\(b=0\)</p>
<ol class="os-raise-noindent" start="3">
  <li>\(7(c&minus;5)=0\)</li>
</ol>
<p><strong>Answer:</strong>&nbsp;\(c=5\)</p>
<ol class="os-raise-noindent" start="4">
  <li>Determine which of the statements are true if \(g \cdot h=0\). </li>
</ol>
<p><strong>Answer:</strong>&nbsp;Either \(g=0\) or \(h=0\), or \(g=h=0\)</p>
<ol class="os-raise-noindent" start="5">
  <li>What did you notice about one of the factors in each of the previous problems?</li>
</ol>
<p><strong>Answer:</strong> At least one of the factors in each equation was 0 or equivalent to 0.</p>
<p>We will use the zero product property to help solve quadratic equations throughout this lesson.</p>
<br>
<div class="os-raise-graybox">
  <p class="os-raise-text-bold"> ZERO PRODUCT PROPERTY</p>
  <p>If the product of two expressions is 0, then one or both of the expressions equal 0.</p>
  <p>If \(ab=0\), then \(a=0\) or \(b=0\), or \(a=b=0\).</p>
</div>
<br>
<h4>Activity Synthesis</h4>
<p>Ask students to share their strategies for each problem. Record and display their responses for all to see. To
  involve more students in the conversation, consider asking:</p>
<ul class="os-raise-noindent">
  <li>"Who can restate _______'s reasoning in a different way?"</li>
  <li>"Did anyone have the same strategy but would explain it differently?"</li>
  <li>"Did anyone solve the problem in a different way?"</li>
  <li>"Does anyone want to add on to _______'s strategy?"</li>
  <li>"Do you agree or disagree? Why?"</li>
  <li> Highlight explanations that state that any number multiplied by 0 is 0. Then, introduce the zero product
    property, which states that if the product of two numbers is 0, then at least one of the numbers is 0. </li>
</ul>