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<h3>Warm Up (10 minutes)</h3>
<p>In this unit, remember to double click on mathematical expressions/equations to enlarge, if needed.</p>
<p>This warm up familiarizes students with the different types of polynomials. Students will classify polynomials by number of terms and degree of exponent. Recognizing these differences will help students as they perform operations on polynomials of different types.</p>
<h4>Launch</h4>
<p>Review the new vocabulary defined at the start of the activity. After all the terms have been introduced, ask students to name a new polynomial of each type. </p>
<p>  Arrange students in groups of 2 and provide them with your Desmos class code so they may use it for the activity. Tell students that the first part of the activity focuses on sorting different types of polynomials and then answer the questions. Be prepared to use the Teacher Dashboard to monitor student pairs and pause the class once they complete screen 3. Highlight any misconceptions or insights reflected in student responses. </p>
<p>  The second part of the activity focuses on the degree of polynomials. Again, use the Teacher Dashboard to monitor student pairs. When students have completed the final screen, discuss any misconceptions or insights reflected in student responses. </p>
<p>  As an extension, ask students to classify the term: mn. While this is a monomial term, many students may inaccurately classify it as a binomial since it contains two variables. Also, the degree is different for this term because of the two variables. In algebra I, students are typically asked for the degree of a polynomial based on one variable alone. For terms that contain more than one variable, the degree is the sum of the exponents for all of the variables in the term. Thus, mn is a degree two polynomial. </p>
<p><a href="https://teacher.desmos.com/activitybuilder/custom/63755273266b7fa84ac833ca?lang=en" target="_blank">Desmos activity: [RAISE] Types of Polynomials</a> </p>
<p>Desmos activities are different from the graphing calculator application because they lead students through one or more interactive tasks. As students progress through the activity, teachers may use the Teacher Dashboard to monitor student responses and use them for whole group discussion. Activities may also be set to identify student responses that are correct or incorrect. </p>
<div class="os-raise-familysupport">
  <p>Access the <a href="https://k12.openstax.org/contents/raise/resources/7a719f4f974cdf749ead9dbffe099eb70fc7d296" target="_blank">Desmos guide PDF</a> to learn more about accessing and customizing activities.</p>
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<h4>Student Activity</h4>
<p>A monomial is an algebraic expression with exactly one term: \(5x^2\)</p>
<p>A binomial is an algebraic expression with exactly two terms: \(5x^2 + 6y^3\)</p>
<p>A trinomial is an algebraic expression with exactly three terms: \(5x^2 + 6y^3 - 7c\)</p>
<p>Monomials, binomials, and trinomials are all different types of polynomials. A polynomial is a monomial or two or more monomials combined by addition or subtraction.</p>
<p>The degree of a polynomial is the highest degree of all its terms.</p>
<div class="os-raise-usermessage-link">
  <p>Log into <a href="https://student.desmos.com" target="_blank">student.desmos.com</a> using the information provided by your teacher to complete the activity.</p>
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<h4>Activity Synthesis</h4>
<p>After students complete the Desmos activity, have students answer the three statements.</p>
<ol class="os-raise-noindent">
  <li> Copy and complete the sentence: An example of a monomial is ________. </li>
  <li> Write a sentence using the word &ldquo;trinomial&rdquo; and an example. </li>
  <li> Write a sentence explaining what the prefixes &ldquo;bi-&rdquo; and &ldquo;tri-&rdquo; mean and how they relate to polynomials. </li>
</ol>
<p>Next, have students switch sentences with a partner. After reading each other&rsquo;s sentences, have the students discuss whether or not they agree or disagree with their partner and explain why. Encourage students to change their sentences if necessary. Ask select groups to share their sentences and any changes they made.</p>
<p>Explain that identifying the type of polynomial and its degree will be important for determining how to perform different operations on them.</p>