![]() Active Learning (Movement): Students will be moving around the classroom during the first part of the lesson.Grade: 10 - 12th grade (Honors Algebra 2)īrain-based Strategies Used in the Lesson: Based on identified relationships and their knowledge of key features, students will be able to construct a possible polynomial equation to represent a given graph.Įssential Question: How can we use structure to interpret polynomials and to construct a sketch of the graph?.Based on identified relationships, students will be able to sketch a graph of any polynomial function using key features and the equation’s structure.The students will be able to make connections between the algebraic representation of a polynomial and its graph features. ![]() The students will identify key features from the graphs of several polynomial functions and then use repeated reasoning and structure to make conjectures about possible relationships between polynomial characteristics.I haven’t used this one with students yet, but I think it will be a good quick check of their understanding and a confidence builder before we do more open ended factoring work.Polynomials Investigation Lesson Lesson Objectives: If you don’t want this screen, you could make a copy of the activity and delete that screen! The answer key is even set so that you can put the teacher screen on the board for students to check their work if you want! I then simply added a graph screen onto the activity, since my students are factoring using x-intercepts on a graph to get them started, so that they could do their graphing without leaving the activity or needing multiple tabs. My next thought was matching, but I realized I didn’t really want to print that out on cards, and then my brain remembered that card sorts are an option on Desmos Activity Builder!Įach polynomial expression has a matching factored form card, which students can drag on top of each other to match together. I thought initially of doing a question stack, but I didn’t want to do 10 questions and didn’t want to spend the time creating a new template for fewer questions. I have a traditional worksheet assignment for them on this topic, but I wanted a bit of practice first that was more guided. ![]() My Algebra 2 students are just starting to factor polynomial expressions, in preparation for solving polynomial equations. ![]() Matching Factored Form to Standard Form Polynomials I use it constantly to insert equations on things that don’t have a built in equation editor, or for things like this) (Sidenote: You can sign up for a free teacher account with Equatio and easily type mathematical notation or create graphs without having to open a Google Doc or Word Doc, for purposes of screengrabbing. Here you can see an example game from two of my students. In Desmos, you can insert a picture into their graphs, so I typed out the equations, screengrabbed them, and inserted them into graphs, turning the axes and gridlines off. We finish a whole unit on solving quadratics and they don’t know what the word quadratic actually means! So I made a polygraph, but of polynomial EXPRESSIONS instead of graphs. My Algebra 1 students are learning terminology for degrees of polynomials and the number of terms that it has, and in past years I have realized that this vocabulary does not stick at all. There exists a Polygraph for pretty much every type of function, but most of them are the graphs of those functions. If they don’t understand it, they have to ask for help or they literally cannot play the game. If you haven’t used a Desmos Polygraph in your classroom yet, you’re missing out! It’s the most surefire way to force students to reckon with their vocabulary understanding. Today’s is about two quick Desmos Activity Builders that I created, one for my Algebra 1 class and one for Algebra 2. First, I’m renaming my “Friday Mashup” series, because who wants to be limited to posting that only on Fridays? It’s a quick rundown of things I want to share that aren’t quite big enough for their own blog post.
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