Polynomials can be difficult for some students to understand, especially when it comes to adding and subtracting them. However, using algebra tiles can provide students with a visual tool that makes it easy to understand the basic concepts of polynomial addition and subtraction. In this article, we will explore some activities that will help teach students to add and subtract polynomials using algebra tiles.
Activity 1: Modeling Polynomial Addition and Subtraction
The first step to teaching polynomial addition and subtraction with algebra tiles is to familiarize students with the tiles themselves. One way to do this is to give each student a set of algebra tiles and let them explore.
Once students understand the tiles, model adding and subtracting polynomials for them using the tiles. Start with simple polynomials like 2x + 3 and x + 1. Let students work alongside you by creating their own sets of the polynomials and matching them with the appropriate tiles. This will help them better understand what is happening to the polynomials when they add or subtract them.
Activity 2: Adding Polynomials
After modeling polynomial addition, give students some polynomials to add on their own using the tiles. Consider using a worksheet that includes different types of polynomials, including those with different degrees or coefficients.
As students work through the problems, encourage them to use the tiles to physically add the polynomials. Once they have found the answer, have them record it on the worksheet. Then, as a class, compare the different methods used to add the polynomials.
Activity 3: Subtracting Polynomials
Once students have a grasp on adding polynomials, it’s time to move on to subtracting them. You can use a similar worksheet for this activity, or give students a set of polynomials to work through.
For each problem, have students first model the subtraction using the tiles. This will help them to visualize what is happening with the polynomials. Once they have the answer, they can record it on the worksheet.
Activity 4: Combining Addition and Subtraction
Now that students have a handle on both adding and subtracting polynomials, it’s time to show them how to combine the two. You can start by modeling problems for them, using the tiles to show how to add and subtract to get the right answer.
Then, give students a set of more complex problems to work through. These problems should involve both addition and subtraction and should require students to use their knowledge of algebra tiles to arrive at the correct answer.
Activity 5: Creating their own Problems
Finally, have students create their own problems using algebra tiles. They can work with a partner or on their own, depending on their comfort level with the subject matter.
As they work, you can circulate around the room and offer feedback and guidance as needed. At the end of the activity, have students share their problems with the class and work through them together.
Using algebra tiles to teach polynomial addition and subtraction is a great way to help students visualize the concepts and better understand the mechanics behind them. By incorporating these activities into your classroom instruction, you can help your students master polynomial addition and subtraction.
