Self-checking Middle School Math Activities
I'm very excited to bring you this guest post from Mandy at Math Dyal. I so admire Mandy for her creativity, her work ethic and her ability to reach students who are afraid of math. Here is a photo I stole from Mandy's Facebook page:
Her students love her! She's one of those teachers who just knows how to get through to kids because she listens to them and allows herself to learn from them. So without any more gushing, here is Mandy's guest post on self-checking middle school math activities:
Scaffolded Math's Favorite Things
Thanks for stopping by! Through my work at TpT I have met some really great math educators who I am happy to now call friends. We got together this holiday season to bring you a blog hop and giveaway of our favorite math things (kind of like Oprah, only more mathy).
Giveaway closed! Winner notified in comments and via email!
Thank you to all who entered. I hope you have your most restful winter break yet! :)
Christmas Math Pennants
The days leading up to Christmas break are hectic. Some kids are excited about Santa, some are excited to be away from school, others are not at all excited about being home. This all leads to a giant soup of emotions that can be really hard to manage.
Graphing Grass Linear Equations Project
This linear equations project was one of my favorite things about teaching algebra. My students would run into the room and right over to the windowsill, excited to see their grass and about taking the day's data.
Solving Equations Activities
When you ask adults what they remember about geometry, they almost always answer, "A squared plus B squared equals C squared." And when you ask them about algebra they think of solving equations.
In this post I round up some solving equations activities that I have made and that some of my friends have made. Some are paper, others have been updated with digital links, all will work to engage your students as they learn, practice and review solving equations.
In this post I round up some solving equations activities that I have made and that some of my friends have made. Some are paper, others have been updated with digital links, all will work to engage your students as they learn, practice and review solving equations.
Tips for Creating Written Material that Supports Visual Learners

Before our daughter was born, the TV was always on. For me, it was a way to get information and relax. My husband would much rather read. Yet we get along! And since it isn't always possible to watch a video, we all have to access written information at least sometimes. Before becoming a special ed teacher I didn't think much about formatting. Now, I know that there are ways to make written material more accessible to students who have reading difficulties, which in turn lowers their anxiety. In this post I highlight 4 ways to make written information more accessible to visual learners.
Long Division Cheat Sheet

If your students are struggling with the steps of long division, there is a cheat sheet linked in this post that shows and explains the steps. I once joked to another teacher that I'd be happy sitting around making math cheat sheets all day. It was June, the building was probably 150 degrees and we were in the middle of a rational functions unit, which, ironically, is related to long division.
Later when I thought about it, I realized that maybe I wasn't totally joking. It's not so much making the sheets themselves (though formatting is strangely addictive), it's making something that a kid can use to help lower stress and build math confidence. No cheat sheet ever takes the place of a teacher, but sometimes every little bit helps when a kid is frustrated and on the verge of giving up.
Integer Operations Graphic Organizer
With integer multiplication and division, the rules are clean and concrete. A negative times a negative is literally the "opposite of a negative" and the rules are pretty simple to remember. With addition and subtraction the rules are a whole lot looser. For students who like things nice and clear, integers can be a real sticking point.
Middle School Math Word Wall Ideas
For a year between teaching general education high school math and teaching special education high school math, I tried teaching middle school math. My husband and I had moved further out from the city, the job was listed as an 8th grade algebra position, I love algebra, it was closer to our new apartment, what could go wrong?
Math Cheat Sheets
This post is a collection of free PDF math cheat sheets that you can print for student notebooks or even enlarge into posters and anchor charts for your math classroom. Some of the math cheat sheets were made for my own students, others were teacher requests.

This post started years ago as a way to share for free the math cheat sheets I was making for my students. Since then, a bunch more math cheat sheets have been added to this post, mainly for algebra and algebra 2, and some for younger students based on teacher requests. Some now include links to short video tutorials.
Every math cheat sheet PDF can easily be enlarged into a large classroom poster. Here is a quadratic keywords poster that I enlarged to 4 pages at home with Adobe Acrobat Reader DC:
Math cheat sheets are a favorite classroom support, along with math word walls that support student learning throughout the year. Here is part of an algebra 1 word wall:
Every algebra escape room in this bundle of digital math escape rooms now comes in both digital and PDF printable:
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Digital Math Escape Room Bundle for Algebra |
I LOVE THESE. They are easy to use for students and teachers. They are great review and / or assessment tool. They're my favorite to use after reviewing for a "homework" grade. I know if they can get to the end of it they understood what we were doing. - 5 stars, Morgan M
Below are links to all of the free math cheat sheets on my blog. Clicking on an image will bring you to its post where the sheet can be downloaded.
Math Cheat Sheets
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standard form quadratics |
vertex form quadratics |
complex solutions in quadratics |
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graphing radical functions |
graphing log functions |
graphing exponential functions |
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graphing linear equations |
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graphing linear inequalities in standard form |
long division algorithm |
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multiplication algorithm |
language of math poster |
integers graphic organizer |
polynomial long division |
synthetic division |
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Patterns of i |
solving equations graphic organizer |
graphing polynomials |
income tax U.S. Form 1040 |
exponential functions flowchart |
graphing factored form quadratics |
graphing absolute value functions |
quadratic keywords |
parallel lines cut by a transversal |
graphing rational functions |
projectile motion |
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slope poster |
I hope the math cheat sheets in this post are helpful references for your students.
Polynomial Long Division in Algebra 2
A while back I shared a reference sheet for students learning how to divide polynomials using synthetic division. We focus on this method in our Algebra 2 class, but because polynomial long division is in the standards, I thought to also make a reference sheet to help students with this method.
In the example on the cheat sheet, students are guided through the steps needed to find the imaginary zeros of a given polynomial function.
Students start at the "start" arrow with step 1.
"What's missing to make x multiply to get x^3?"
Oh! 2 x's!
So an x^2 goes up top. Students then multiply this x^2 by x+2, subtract, bring down and start the process over again. To complete the process, students use the Quadratic Formula on x^2 - 4x + 5 to find the two complex zeros of the original polynomial.
When I taught algebra 2, math templates, like the one below for sketching polynomials, were my go-to for our daily warm-ups and closers.
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Polynomial Sketching Quick Check Sheet |
Solving Equations Flowchart
Solving equations can be super frustrating for students. They'll try combining terms over the = sign, get confused with the order of the steps or not even know how to get started at all.
7 Reasons to be a Special Education Teacher

For my first 8 years of teaching, I was a mainstream high school math and science teacher. I loved my job and the many, many students I'd see each day. It always surprised me each year how quickly I got to know each kid's name.
But then the weekends would roll around and that stack of papers to grade! The grading always seemed so endless.
Now as a special education teacher my stack of grading is so much more manageable. And that's not the only reason I love my job. Sure I write IEPs, schedule meetings and complete academic testing all on my free periods, but to me the benefits of being a special education teacher far outweigh the disadvantages. Here are my top 7 reasons why.
5 Ways Math Word Walls Have Changed My Teaching

Every year, it seems we get more and more visual learners coming into our classrooms, learners who benefit from a math word wall that shows concepts and vocabulary in action. This approach has worked wonders in my classroom and has given me back so much of my time previously spent on explaining and re-explaining concepts. And I know the same will be true for you!

Creating a math word wall for my classroom has made it easier for me to reach my students and easier for them to learn. The references completely changed how my students have been able to access our math vocabulary and the concepts we learn in class. Our math word walls are covered in examples and visuals that show the math concepts in context along with the vocabulary words we cover in class.
(part of an algebra word wall) |
From math vocabulary reminders to greater student independence to making the room an inviting place to learn, there are so many positives to adding a visual math word wall to any classroom.
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(part of a 4th grade math word wall) |
In this post I want to highlight 5 reasons I believe so strongly in math word walls, especially ones that show examples and concepts in context, and why have them in my classroom. I'll also include photos of the pdf math word walls I've made covering grades 2, 3, 4, 5, 6, 7 and 8 and Algebra, Geometry and Algebra 2.
(part of a 5th grade math word wall) |
Reason #1: Greater student independence
You're at the board in the middle of an amazing lesson when a hand goes up. The good thing? It's not to go to the bathroom. The bad? It is about a concept not at all related to your awesome lesson.
(part of a 6th grade math word wall) |
Students are forever asking questions that have nothing to do with what is currently happening. A lot of times these questions are long-held misconceptions or misunderstandings. Magic happens when those confusions are ironed out. Those are the "lightbulb moments" we all live for as teachers.
With references on the walls, students can independently access the information that is clogging up their thinking so that they can get back to the current topic. The boost in confidence this gives students is reason enough for a word wall.
Reason #2: Keeping the class on track
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Pythagorean Theorem |
With references on the walls, students can independently access the information that is clogging up their thinking so that they can get back to the current topic. The boost in confidence this gives students is reason enough for a word wall.
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(part of a 7th grade math word wall) |
This one is the teacher version of reason #1. Word walls help keep the class on track. When I am able to point to a reminder on the wall and quickly get that one student over that speed bump, class runs so much more smoothly. I believe in answering all questions, especially those "you should have learned this 3 years ago" questions.
It is an honor to have students ask questions that are not on grade-level and I never, ever, ever use "should" in my teaching. Asking these questions means that they trust me with their insecurities and this means so much to me. That being said, random math questions increase the possibility that the rest of the class will start snapchatting. Math word walls help me move faster through these questions so that my class stays on track.
Reason #3: An inviting classroom
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part of a 2nd grade math word wall |
It is an honor to have students ask questions that are not on grade-level and I never, ever, ever use "should" in my teaching. Asking these questions means that they trust me with their insecurities and this means so much to me. That being said, random math questions increase the possibility that the rest of the class will start snapchatting. Math word walls help me move faster through these questions so that my class stays on track.
(part of an 8th grade math word wall) |
In Broken Window Theory, the idea is that a small thing like a building's broken window sends a loud message that the building is not being cared for. The theory states that people will then break more windows because what does it even matter anyway?
When a building is cared for, people know it. When we put even a little effort into making our classrooms warm and inviting, it sends a powerful unspoken message that we care about our students and their learning. It also sends the same message to parents. A principal once gave me some advice about parents. He said, "Parents just want to know that you like their kid." Now as a mom, I completely get it.
Reason #4: Connections to previous topics
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(volume and surface area math word wall) |
When a building is cared for, people know it. When we put even a little effort into making our classrooms warm and inviting, it sends a powerful unspoken message that we care about our students and their learning. It also sends the same message to parents. A principal once gave me some advice about parents. He said, "Parents just want to know that you like their kid." Now as a mom, I completely get it.
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(part of an Algebra word wall) |
Many of my students in Algebra 2 don't automatically remember what the x value at a y-intercept is or how to find the slope of a line. Even though Algebra 1 is not taught in my classroom at all during the day, I have Algebra 1 references on my wall.
Over and over again I go to that wall to point to the vocabulary my students had seen 2 years earlier. By having those reminders there, more difficult Algebra 2 topics are more accessible.
When one of my students forgets what a zero is, I can point to our linear graph's x-intercept and make the connection. Breaking hard problems down into easier examples is also a useful skill, especially during dreaded standardized tests.
Reason #5: Low floor, high ceiling
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(triangle sums visuals) |
Over and over again I go to that wall to point to the vocabulary my students had seen 2 years earlier. By having those reminders there, more difficult Algebra 2 topics are more accessible.
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(part of a geometry word wall) |
When one of my students forgets what a zero is, I can point to our linear graph's x-intercept and make the connection. Breaking hard problems down into easier examples is also a useful skill, especially during dreaded standardized tests.
Reason #5: Low floor, high ceiling
Math can be super intimidating for some kids, and those are the same kids who may not always feel comfortable asking questions. Math word walls create a classroom environment with a "low floor, high ceiling" where all kids can enter and then grow.
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(nets on a 6th grade math word wall) |
I'm reading Mathematical Mindsets by Jo Boaler and am finding that it puts into words everything I want to be as a teacher. To be quite honest, between work, family and exhaustion, it's the first book I have read in probably 5 years. That is embarrassing to type, and at the same time I am so thankful my first book back is this book. I'm an exceptionally slow reader, which makes me think about my students with diagnosed and undiagnosed reading disabilities. If it's hard for me to read, how must it be for them?
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(part of an algebra 2 word wall) |
I make sure to make word walls accessible for all with visual references that are not too wordy. This allows kids with learning disabilities, English Language Learners and kids who are afraid of math to enter into the conversation.
Over the years, teachers have sent me some great photos of their classroom word walls. Here are just a few:
Ms. Davenport's math word wall |
Ms. Davenport's choice of yellow background paper is just so happy.
Ms. Mac chose a bright orange to display her unit circle word wall.
I'm a huge fan of black in general so I really like how Ms. Heaton's and Mr. Caruso's math word walls came out.
The blue and yellow that Mr. DeVore chose to back his math word wall makes for a really nice display. (He also has some math pennants along the top.)
Mr. DeVore's math word wall |
To meet the needs of classrooms with technology and to allow for students to access their math word walls digitally, I updated every PDF math word wall to now also include a digital version.
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digital math word walls |
Every math word wall now comes in both PDF (color and black & white) and digital (in Google Slides). You can see them all here.
From math vocabulary reminders to greater student independence to making the room an inviting place to learn, there are so many positives to adding a visual math word wall to any classroom.
This all math word walls bundle includes every math word wall for 2nd grade through algebra 2.
All math word walls are available individually here. Each now comes in printable PDF (color and black & white) and digital in GOOGLE Slides. All three formats are included in the same file.
Math word walls to download:
◉ Area Word Wall
◉ Unit Circle word wall
◉ Financial Literacy word wall
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