01a64e34-4470-47e0-a9fa-a2953c02cd8b.html

<h3>Warm Up (5 minutes)</h3>
<p>In this unit, remember to double click on mathematical expressions/equations to enlarge, if needed.</p>
<p>This warm up activity familiarizes students with recognizing the patterns of a perfect square trinomial. Students
  will learn to look at the first and last terms to determine if they are squares. They will also look for a middle term
  that fits the pattern \(\pm 2ab\).</p>
<h4>Launch</h4>
<p>As a class, read the hints for recognizing perfect square trinomials. Allow 3&ndash;4 minutes for students to answer
  the questions individually. Pause the class to answer any questions about the trinomials in the activity.</p>
<h4>Student Activity</h4>
<p>Identify which of the polynomials is a perfect square trinomial.</p>
<p class="os-raise-text-bold">Helpful hints for recognizing perfect square trinomials:</p>
<ul>
  <li> Are the first and last terms squares? </li>
  <li> Does the middle term fit the pattern of \(2ab\)? </li>
</ul>
<ol class="os-raise-noindent">
  <li> \(25v^2 + 20v + 4\) </li>
</ol>
<p><strong>Answer:</strong> yes</p>
<ol class="os-raise-noindent" start="2">
  <li> \(49s^2 + 154s + 121\) </li>
</ol>
<p><strong>Answer:</strong> yes</p>
<ol class="os-raise-noindent" start="3">
  <li> \(25r^2 + 65rs + 36s^2\) 65 is not equal to \(2ab (2 \times 5 \times 6)\)</li>
</ol>
<p><strong>Answer:</strong> no</p>
<ol class="os-raise-noindent" start="4">
  <li> \(64z^2 &minus; 16z + 1\) </li>
</ol>
<p>You can use the following video if you need some help.</p>
<div class="os-raise-d-flex-nowrap os-raise-justify-content-center">
  <div class="os-raise-video-container"><video controls="true" crossorigin="anonymous">
      <source src="https://k12.openstax.org/contents/raise/resources/18ccd476db1810603414d36e9799c638a3c7377d">
      <track default="true" kind="captions" label="On" src="https://k12.openstax.org/contents/raise/resources/64aefedd406b3e389b225c111dde7f001805f8bf" srclang="en_us">
    </video></div>
</div>
<p><strong>Answer:</strong> yes</p>
<ol class="os-raise-noindent" start="5">
  <li> \(49x^2 + 28xy + 9y^2\) 28 is not equal to \(2ab (2 \times 7 \times 3)\)</li>
</ol>
<p><strong>Answer:</strong> no</p>
<h4>Activity Synthesis</h4>
<p>Ask a student to identify a requirement of a perfect square trinomial:</p>
<ul>
  <li> The first and last terms must be squares. </li>
  <li> The middle term must fit the pattern of \(\pm 2ab\). </li>
</ul>
<p>Tell students that in the next activity, they will learn to better recognize and factor these perfect square
  trinomials.</p>