Using Algebra Tiles to Teach Solving Equations

How to use Algebra Tiles?

I was first introduced to algebra tiles the year I taught 6th grade math. The Texas standards had just changed and all Texas math teachers were scrambling to learn the new standards. What I had learned in 8th grade advanced math, I was now going to be teaching my 6th graders. 

8th grade math is where math got hard for me. I was very good at following steps exactly like I was told with problems exactly like the teacher showed--any variation and I was lost. Because I didn't actually understand the what, why and how behind math. It actually took me until college algebra to really understand algebra--and I was a good student! 

Algebra Tiles are great for taking an abstract concept like solving equations--and making it more concrete. Even middle school students need concrete examples--and algebra tiles are great. 

After you teach students how to use algebra tiles to solves equations and inequalities, you can use this free resource for them to practice reading the models and using them to solve. 

If you aren't familiar with algebra tiles, I would definitely recommend checking them out. There are tons of videos on Youtube that can walk you through how to use them to solve equations, inequalities and integer operations. 

Here are some other Algebra Tile resources.

Introduction to Inequalities with Desmos and Real-World Situations

 I think introducing inequalities is so much more interesting and fun than equations. There are so many more real-world situations that students can relate to. 

"Your mom says she will give you no more than $20 for lunch this week. How much money could she give you?"

"You need to be at least 48 inches to ride the roller coaster. How tall could you be and still ride it?"

"The elevator can hold up to 750 pounds. How much can the elevator hold?"

You can have some fun discussions with your students and even those students who struggle with math can participate because it is something they can relate to. It is  great way to help students build confidence. Math isn't just a set of steps and algorithms--its a way to explain the world around us. 

So this year, I was in the classroom because of lack of substitute teachers and got to start the inequality unit with some 6th graders. These are the two activities I used with students. (My campus currently has enough devices for every student.)

1. Desmos Inequalities on a Number Line

Have you used Desmos? You might know it as an online graphing calculator, but it is so much more. There are lessons on there that you can walk students through, see what they are doing in real-time, and give immediate feedback. 

The assignment I have linked has students place value on the number line with prompts like "a number less than 3." This starts students thinking about how there are multiple numbers that fit that prompt. One class would only every pick whole numbers and I had to push them to see 1.5 as a value they could select. 

Eventually this assignment shows students how we use a shaded number line to show all possible solutions. 

2. Google Slides Beginning Inequalities

Next, I had students look at some real-world statements on the board and place possible solutions on the number line. I had several students come up to the board and use a marker to mark their possible answers. Again, all students were able to participate because theses were situations they experienced in their daily lives. 

Now I know that when we get into solving and writing inequalities, that students may struggle. But by starting the unit with some low floor activities, the students can build their confidence and it is something I can continue to refer back on. 

Inequality Puzzles

As we got back from Christmas break, I needed to review what we learned right before we left: Inequalities.

I did a short small group lesson and added some notes to the math notebook and then I started pulling small groups. 

In these small groups, we put together some puzzles. 

Each puzzle had a word problem, number line, an inequality, and an inequality solution. I made this because I wanted to do something more than, "Here is a word problem, now solve it." It was more interactive and the students responded well to working to find matches. 

If you want this product, you can purchase it by clicking the picture below or HERE. 

Notebook Pages

I am really happy with how the Math ISNs are going this year. The students are taking ownership of them. I have had two students lose theirs and one student spilled water on his, but all three have wanted to redo their notebook so it has everything in it. 

Most of the pages I come up with are me thinking quickly what the students will benefit the most from. I try not to make too many copies for the notebook. I asked the students one day if they just want to write stuff down in it, or do they like the construction paper and color. They like the construction paper and color. I think it is a more fun way to take notes, it is visually appealing, AND it makes the notes easier to read. 

Here are some pages from the last few weeks. 

Writing and Graphing Inequalities

I had a good week last week, compared to last week. Things were clicking, the students were understanding and I was able to pull small groups on solving equations. 

We started with these cards. I wanted the students to connect the inequality signs with real world situations, so I made this inequality matching set. 

Day 1:

First Sort: I first gave students the cards without the signs. I asked them to come up with a way to sort the cards. They needed to have at least 2 groups and could have as many as they wanted. Some of the ways they sorted them.

• Numbers more than 50 and less than 50 (or some other number). --These groups didn't pay attention to the situations.
• Situations with more than one answer and only one answer. --I didn't expect this one and I was excited to hear it. 
• Situations the were positive or negative--really those that were less than or greater than. 
• Situations which were less than or greater than

I heard so many great conversations among my students as they sorted. 

After their initial sort, we talked about the word inequality and what it means. One girl said that an inequality has more than one answer--a wonderful response. 

Second Sort: After introducing them to each of the signs and learning the new less than/greater than or equal to --I asked them to resort the cards in 5 groups now. This was a little more difficult for them to distinguish when it was equal to and when it wasn't. But as I walked around I got to talk to the students about how to tell the difference by questioning them. 

Day 2:

I used this foldable to sort phrases into which sign they go with. I gave the students the cards back and asked them to look through them to find a phrase like "no more than" and identify which sign it goes with. 

Day 3:

We started writing the inequalities. We did some class practice and I called students to the board and the we added this page to their notebook and they practiced with their groups. 

Day 4: 

We started graphing inequalities. I had some examples on the board that students came up and practiced and then they finished the above page from their notebook.

I ended the week hearing students say this was so easy. Their exit tickets showed that they are understanding this. I know that when we start solving inequalities, it might be a different story though. 

The Inequality Sort Cards are available in my store now.