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<h4>Lesson Narrative</h4>
<br>
<p>This lesson continues to explore operations with polynomials as students master polynomial multiplication. Students start by multiplying with monomials. This involves a review of the properties of exponents and the Distributive Property. Multiple methods are then introduced to practice multiplying two binomials.</p>
<p>The previously introduced Vertical Alignment and distribution will be used to multiply polynomials by other polynomials. As students learn these methods better, they will weigh their advantages and disadvantages. They will learn to recognize special situations in which patterns can be learned and implemented to efficiently multiply these binomials together. Finally, students will use their previous knowledge of polynomial functions to further practice the multiplication they have learned in this lesson.</p>
<h4> Learning Goals (Teacher Facing)</h4>
<p>Students will be able to:</p>
<ul>
<li> Multiply monomials together using multiplication properties of exponents. </li>
<li> Multiply polynomials together using the Distributive Property, Vertical Alignment, and the FOIL method (for binomials). </li>
<li> Recognize special case products such as binomial squares and conjugate pairs and use designated rules to facilitate their multiplication. </li>
<li> Multiply polynomials expressed in function form. </li>
</ul>
<h4> Learning Targets (Student Facing)</h4>
<ul>
<li> Multiply monomials. </li>
<li> Multiply a polynomial by a monomial. </li>
<li> Multiply binomials. </li>
<li> Multiply a polynomial by a polynomial. </li>
<li> Multiply special products. </li>
<li> Multiply polynomial functions. </li>
</ul>
<!--Begin TEKS Table -->
<table class="os-raise-textheavytable">
<caption> Texas Essential Knowledge and Skills (TEKS)</caption>
<thead>
<tr>
<th scope="col">TEKS</th>
<th scope="col">Explanation of Coverage</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<p>A1(G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication</p>
</td>
<td>
<p>Math process coverage: Lesson provides content that supports this TEKS.</p>
</td>
</tr>
<tr>
<td>
<p>A10(B) multiply polynomials of degree one and degree two;</p>
</td>
<td>
<p>Full coverage: Lesson provides content that covers all parts of this TEKS.</p>
</td>
</tr>
<tr>
<td>
<p>A12(B) evaluate functions, expressed in function notation, given one or more elements in their domains</p>
</td>
<td>
<p>Full coverage: Lesson provides content that covers all parts of this TEKS.</p>
</td>
</tr>
</tbody>
</table>
<!-- End TEKS Table -->
<br>
<h4>Lesson Activities</h4>
<p>Here are the instructional activities for the lesson:</p>
<ul>
<li> 6.2.1: Multiplying Monomials </li>
<li> 6.2.2: Multiplying Binomials </li>
<ul>
<li> 6.2.2: Self Check </li>
<li> 6.2.2: Additional Resources </li>
</ul>
<li> 6.2.3: Multiplying a Polynomial by a Polynomial </li>
<ul>
<li> 6.2.3: Self Check </li>
<li> 6.2.3: Additional Resources </li>
</ul>
<li> 6.2.4: Multiplying Special Products </li>
<ul>
<li> 6.2.4: Self Check </li>
<li> 6.2.4: Additional Resources </li>
</ul>
<li> 6.2.5: Multiplying Polynomial Functions </li>
</ul>
<p>Students will also complete a series of problems in the 6.2.6: Practice.</p>
<h4>Required Materials</h4>
<p>Paper and pencil </p>
<h4>Required Preparation</h4>
<p>None</p>
<h4>Lesson Vocabulary</h4>
<p>During this lesson, it is important to:</p>
<ul>
<li> Familiarize students with the vocabulary words they will see throughout the lesson. Encourage students to look for these words and notice their use and meanings. </li>
<li> Encourage students to use key vocabulary words in “math talk” and their written and oral explanations. </li>
<li> Utilize a word wall. Sample cards are located here: <a href="https://k12.openstax.org/contents/raise/resources/8ed3aa68763498713b44d3c2e537ffe61b4755f0" target="_blank">Mathematics Vocabulary Word Wall Cards</a> </li>
</ul>
<p>Vocabulary words that are emphasized in this lesson:</p>
<table class="os-raise-textheavytable">
<thead>
<tr>
<th scope="col"> Previous Vocabulary </th>
<th scope="col"> New Vocabulary </th>
</tr>
</thead>
<tbody>
</tr>
<tr>
<td>
<ul>
<li> monomial </li>
<li> binomial </li>
<li> trinomial </li>
<li> polynomial </li>
<li> polynomial function </li>
</ul>
</td>
<td>
<ul>
<li> conjugate pair </li>
<li> difference of squares </li>
</ul>
</td>
</tr>
</tbody>
</table>
<br>
<p>To support newcomers or students identified at the beginning level of language proficiency, share the following Quizlet links to help students gain an understanding of the academic vocabulary. Use the Spanish versions to anchor student understanding before bridging to the English versions. </p>
<ul>
<li><a href="https://quizlet.com/881785388/raise-unit-6-spn-vocabulary-flash-cards/?i=5eauv9&x=1jqt" target="_blank">Unit 6 Spanish Vocabulary</a></li>
<li><a href="https://quizlet.com/881535297/raise-unit-6-vocabulary-flash-cards/?i=5eauv9&x=1jqt" target="_blank">Unit 6 Vocabulary</a></li>
</ul>
<h4> Support for English Language Learners</h4>
<div>Throughout this lesson, activities are incorporated that align to the following ELPS. The suggested activities are only a sampling of the types of support and scaffolding that can extend the learning for English language learners. Continue to find additional opportunities as you build your own set of ELL learning routines.<br> <br>
<ul>
<li>ELPS 2(F) listen to and derive meaning from a variety of media such as audiotape, video, DVD, and CD-ROM to build and reinforce concept and language attainment</li>
<li>ELPS 3(H) narrate, describe, and explain with increasing specificity and detail as more English is acquired</li>
<li>ELPS 5(B) write using newly acquired basic vocabulary and content-based grade-level vocabulary</li>
</ul>
</div>
<br>
<h4>Support for Building Character</h4>
<p>Throughout this unit, find ways to encourage and support students to work on cultivating their <strong>judgment</strong>.</p>
<p>Here are some tips to try during this lesson:</p>
<ul>
<li> <a href="https://characterlab.org/tips-of-the-week/fundamental-beliefs/" target="_blank">Fundamental Beliefs</a> </li>
<li> <a href="https://characterlab.org/tips-of-the-week/reserve-judgment/" target="_blank">Reserve Judgment</a> </li>
</ul>
<p>You can find other tips located here in the <a href="https://characterlab.org/playbooks/judgment/" target="_blank">Playbook on Judgment</a> from Character Lab.</p>