Say this to yourself: “I make math mistakes and it’s ok!” Most of the mistakes we make as teachers are probably because of being careless. Our minds are processing 20 different things while we are teaching. We are wondering if the students are understanding or if Susie is on her phone or if Johnny is ever going to come back from the restroom.
Make it known from the beginning of the year that you WILL make mistakes and you need the students to catch those mistakes. If they catch the mistake, then give them bonus points or a sticker or some reward to let them know it’s important that they notice your mistakes. Also tell your students that you do not know everything about math. That might shock them. You need to show vulnerability so that the students feel comfortable about their own mistakes. When you make a mistake and a student points it out, say THANK YOU!
Something that I have said many times this year is that I want the students to be wrong… a lot. I want them to mess up. I want them to make mistakes. I want them to leave the class and say, “Well I made a lot of mistakes today in math.” Weird, I know…but if they can say that, then they worked hard in class. Mistakes are a part of learning. Mistakes mean effort. No mistakes will probably mean no work.
Have you asked a student a question and they say, “I don’t know?” Tell them they can’t say that anymore. Do not let them write IDK for an answer on a paper. That’s a big no no. I tell the kids to “Fake it until you make it.” Act like you know. Put something down or give some sort of answer. Who cares if you are wrong!
Next week when you are teaching, look at your students and see who is just sitting. Walk the room. Who has a blank paper. Don’t let this happen. Get the students involved and teach them to be ok with math mistakes. Mistakes are necessary!
(Here is a gift to you. A digital display poster of Mistakes are Necessary. This is from my Google Drive… if you cannot open it, try from your personal email and not your school email.)
This post was a newsletter first. This is the kind of content that I like to write for my email subscribers. If you’d like to be a part of my email list, sign up here.My goal is to provide tips, ideas and resources for the busy secondary math teacher or tutor. If that’s you, please join.
Teaching math has given me so much joy and so much stress over my career. Out of my 35 years of experience, I would say 75% of the time I was teaching regular students. When I use the word “regular”, I’m referring to students not in a Pre-AP, accelerated or honors math class. I’m not going to lie… it has not been easy. If I had to describe to a new teacher my experience over the years, I think I would describe it as GOOD, BAD and UGLY!
Side Note: I’m a Clint Eastwood fan. I have a picture of him on my wall in my living room so I’d say I’m a pretty big fan. One of his most popular westerns, was The Good, The Bad And The Ugly. You can’t think about that film without hearing the music that plays constantly throughout it. If you’ve never watched the movie or heard the music, you should do it. Here’s the music. Play it softly while you are reading. You’ll enjoy it.
The Good: Of course the good part about teaching regular students are the students! The kids are mostly awesome. Sure, you’ll have a student who tests your patience now and then, but for the most part, the kids are awesome. If you will take the time to make connections and get to know them, you will find out how wonderful they can be.
How do you make connections? First of all, don’t be their best friend. You are the adult. It’s ok to listen to them tell you about their bad day, but it’s not ok to take them to Sonic and have a drink. Don’t be THAT teacher! Make connections by finding out about their hobbies. Ask questions about their past math experiences. Ask them how they learn best. Go watch their school football or volleyball games. It’s great for the students to see that you care about them, but be super smart about your actions.
Students that act out in class are not bad kids. If they talk too much, or sleep during class, there is a reason. Try to get to the bottom of the issue. You can remedy problems very quickly if you can get to the root cause. Ask them questions like:
“I notice that you sleep during class, do you have a job that keeps you up late?”
“How have you done in past math classes?”
“Do you get along with everyone in this class?”
The kids themselves are not the issue in regular classes. There is much more to this! Keep reading!
The Bad: One bad thing about teaching these classes will be the size of your class. The majority of students are in regular classes, so it makes sense that these classes will be bigger. That’s bad because how do you help these students individually? It’s tough, but one solution is to let them help each other as much as possible. I like to do lots of partner work and group work which can be good and bad. You have to train the students how to act. Give them specific directions on duties and protocols. Be consistent and it will get better. If you keep them in rows and stand and talk at the front of the room all day, they will not learn a thing. Trust me on this one. I’ve been THAT teacher.
Organization can be a booger too! Here are a few things to make your classes run smoothly:
DON’T grade everything.
Keep a seating chart at all times. This saves so many headaches! Students see you have an expectation of where they will sit. This shows them that you are organized.
Make use of a hall pass and keep a tardy log.
DO use every ounce of time in class to work. Free time is not good with this type of student…which leads me to the next paragraph…
Many of these students do not know how to self start, so you will need to guide them in this. Motivation levels in regular students are not always the best either. How do you teach them to be motivated and be a self starter? First of all, have procedures. Students need to know exactly what you expect when they walk in the door. Phones are put away and the spiral notebooks come out! Figure out what is best for your classroom. The motivation comes over time if students are not bored, see value in what they are learning and gain some confidence.
The Ugly: The ugliest part about teaching regular math students is the wide variety of abilities. This presents a huge challenge. Is differentiation the answer? You can differentiate all day long but when you have 170 students, 11 of them are SPED, several students are dyslexic, and 59 are ESL, then it gets ugly. How can I differentiate? Differentiation does not have to be create a brand new lesson that is specialized for each person. Here are some ideas to differentiate in a math class:
Reducing the number of problems by looking at a worksheet and deciding which ones are tougher and taking those off. Another way of reducing work and letting the student feel like they are playing a role is to tell them to do any 5 out of 10 problems.
Choose between a digital or paper and pencil.
Give students a choice between written practice and a hands-on activity when either will meet the goal.
Create their own problems and work them.
Record their explanation instead of writing it.
Let them redo the work many times until they understand. Don’t recreate the wheel… Boom Learning is great for doing an assignment until they get it right.
Working with a partner or a group.
I don’t want to sugar coat what it’s like to be a teacher of regular math students. It’s hard, but there are ways to make it work and make it better. I hope that I’ve given you some ideas to use to help make your teacher life more doable. Be positive and treat yourself with grace. This is a tough job, but it can be rewarding. If you have any questions, please email me. Have a great year!
I love small group quizzes for so many reasons! Its a win win situation. I cannot say enough about this type of strategy. I’ve done group quizzes for many years, but with the help of my peers, I’ve figured out the way that works best for me. I’ve also discovered that it will evolve the more you do it. You’ll get an idea to try something new or you’ll stop doing something else that’s not working the way you want.
What are group quizzes? Group quizzes are collaborative quizzes that give students a chance to deepentheir learning through discussions. Imagine awesome engagement and conversations. Imagine all levels of abilities working together and activating growth. THAT’s what happens during a well constructed small group quiz.
I have 2 ways of doing these quizzes:
Students are put into groups of 4. Each student will receive their own version of the quiz. Yes, this means you need at least 4 versions of the same quiz. Students work together through discussions to complete their own quiz. THE DISCUSSIONS ARE AMAZING! I do not allow students to grab each other’s papers and copy straight from them. That is a big no no…(so you do have to walk around a bit, but I can still get so much done while the kids are working together it’s not even funny.)
Students are put into groups of 3, 4 or 5. All students in the group have the same quiz. Assign each student a letter or a number. They write that letter or number beside their name in INK! The students work together to complete the quiz. (Again, they cannot grab someone’s paper and copy it.) At the end of the allotted time, the teacher will spin a spinner, roll some dice or use some sort of number or letter picker to decide whose paper will be the one graded for the group. The person that is selected will put their paper on top of the group pile with everyone else’s paper below. The quizzes are paperclipped and turned in. I usually grade the top paper only, but I’ll flip through the pile to make sure everyone was successful. I tell the students ahead of time what will happen at the end of the time. Throughout the quiz I give reminders to not allow anyone to sit and do nothing since their paper might be the one graded for the group. A little peer pressure is ok. I don’t allow anyone to be mean, but I’ve never found that to be the case. If I see that someone actually could hurt the group, then I’ll do something creative so that person doesn’t cause any issues.
If you’ve never tried a group quiz or think that your students are too rowdy for this, then think again. Try it! You will need to put some thought into your groups ahead of time. I like to make sure that I have some high abilities with some strugglers. I try to put some quiet people with the loud people. I never let them pick their own groups. I do not ever put all strugglers together or all high abilities together. I usually go by grades in the gradebook and then I think about who gets along. I use my name plates (we make these at the beginning of the year and it is mentioned in the post: 1st Week of Math Class Ideas) to put people in their groups. I will not let kids enter the room until I’ve place the names plates on the desks.
Hopefully, I have you motivated to try this strategy. If you need some quizzes to use, I have started creating some. I will be making more throughout the year, so please check often. Each set has 4 versions of the same quiz, so you can use either of my two strategies that I mention above. If you will follow me on Teachers Pay Teachers, you will know when I upload new resources. They are always 50% off for 24 hours.
Disclaimer: This site contains affiliate links in which I will get a commission if you decide to buy something using the link I provided.
You may be wondering what the first week of math class should really look like — especially if you’re teaching middle or high school. Maybe you’re aiming to make everything perfect, or maybe you’re just trying to survive the chaos.
Either way, I’ve been there. I spent over 35 years in the classroom, and I always believed the first week was about more than content. It’s about systems, structure, and connection.
So here’s what I recommend (and what I used myself) for that first week of school.
Start with a Plan and a PowerPoint
For new teachers, I recommend using a PowerPoint on Day 1 to walk students through your rules and procedures. If you’ve read Harry Wong’s First Days of School, you know how powerful this foundation can be. If you’re a veteran teacher, you might prefer to break up the PowerPoint across the week and mix in more community-building and routines practice.
About Me + Name Plates
As students walk in on the first day, I have two things waiting on their desks:
An “About Me” page (as bell work)
An index card to make a nameplate (Suggestion: Use colored index cards — a different color for each class)
The folded nameplate helps me learn names quickly and gives students something productive to do. I keep these nameplates all year, clipped by class — super handy for randomly calling on students or activities where I move seats.
I keep all name plates for each class on a clip as shown above.
YouCubed
The other thing I liked to do during the first days of my math class was use activities from YouCubed. The ones I focused on came from the Week of Inspirational Math(s). I’ll give more specifics in my weekly plan.
Editable Scavenger Hunt: A customizable way to familiarize students with the classroom.
Editable Syllabus Template: Easily customize to fit your classroom policies and curriculum.
“Get to Know You” Activities: Fun and engaging ways to learn about your students.
Parent Contact Forms: Communicate with parents from day one.
First-Day PowerPoint: Kick off the year with a polished presentation.
Procedures, Ideas and Activities for the 1st Week of School
I hope this gave you ideas or reassurance that it’s okay to take your time the first week. And don’t forget to collaborate with your team — every teacher does things a little differently, and that’s okay.
Semester finals are coming! Of course you will review and try to prepare your students, but time is limited. How can you help your students do better and still keep your standards high?
USE AN ANSWER BANK.
If you have a 20 question test and you have 20 answers in an answer bank, your test is still challenging but you are giving your students hope which means they will put more effort into trying! That’s what we want, right? EFFORT!
Will some students guess by using the answer bank? Absolutely! When I give an answer bank, I have two rules:
Students have to keep the test for a certain amount of time before turning it in.
Students have to show work on all of the problems.
Try it this year. I think that you will be pleasantly surprised. If students feel like they have an advantage, it makes a big difference in their attitude. Please let me know how this goes for you.
I have two final assessments with answer banks if you would like to try them. (My Algebra 1 Final with an Answer Bank is in the works. Be on the lookout for it soon!)
Here we are again getting ready for another Algebra STAAR test. Last year was crazy and very hard to prepare students. This year is just as challenging, but in a different way. Last year, no one expected much from the students. Learning math online is super tough. This year, the expectations will be higher. We’ve had a full year of being back in a building. Students have learned more this year, but how will they perform after having some pretty dramatic learning loss from the past few years?
We are well into the 5th six weeks at this point and I only have quadratics left to teach. As far as reviewing for the STAAR, I’ve started a few things. We made STAAR flashcards from the task cards that are in one of my resources and students have done some of the boom cards to practice fill-in-the-blank questions. I’m going to start tutoring once a week after school and invite students that did poorly on the Algebra STAAR benchmark we just gave at the end of February. I will begin a three-week focused STAAR review on April 11th.
Here’s my plan for the last three weeks leading up to the test: (You will not see much on quadratics in this review since this is the topic that was just completed.)
Week 1: Bell Ringers for the next two weeks will be key features of linear, quadratic and exponential graphs. Obj. 4 – Correlation Coefficient and scatterplots for quadratics and exponential functions. Obj. 12(b, c, d) – Evaluating Functions and Algebraic and Geometric Sequences.
Week 2: Domain and Range for Linear, Quadratic & Exponential (Obj. 2a, 6a, 9a). Review of Systems (Obj. 2i, 3f, g, h, 5c). Review of Slope and Graphing Linear Functions (Obj. 3b and d).
Week 3: Start a brain dump. Use the brain dump for bell ringers. Obj. 5a – Solving Equations, Obj.10e – Factoring, Obj. 11b – Laws of Exponents
*I cannot plan for other students that are not mine, but this is a general plan that should work for most situations. Think about your own students and what their strengths and weaknesses are!
**These topics were strategically selected by analyzing past Algebra STAAR exams and knowing the Readiness Standards.
All of this material is in one place in my store if you are interested in purchasing. Click on the pic below to find it in my store:
I’ve used bell ringers (sometimes called Do Nows or Warm-ups) my entire teaching career until the pandemic. For over a year, I quit using them. I was juggling too much to add bell ringers to the mix, but I’m happy to say that I’m using them again. I debated over whether to start using them because I do have a few cons that bother me.
One of my cons for using bell ringers is that it requires a transition from one task to another and sometimes transitions in a classroom are hard to deal with. Another con is that you have to think of what you want your bell ringer to be and that requires time which we as teachers have very little time.
The pros far outweigh the cons when it comes to bell ringers. I have 7 reasons why I feel like bell ringers are worth the struggle. It makes sense to me to continue using them because of what bell ringers provide.
#1 – Get the students busy from the start! As a teacher, the beginning of class is a chaotic time. We need to get the students settled and do attendance. If students are in a routine to come into the class and get started on the bell ringer, then the chaos is limited and the teacher has time to get organized.
#2 – Use bell ringers to recycle information or to review information. Maybe you want to review the first grading period during the second grading period using bell ringers. I’ve learned that 3 or 4 problems is the limit. A quick way to create something is to use material that you were not able to use during the first grading period. You might have run out of time to do a worksheet or maybe you did not get to go as deep as you wanted. Divide that worksheet into days and give it to your students at the beginning of the week. Students get the worksheet out at the start of class each day and work on it. (I have my students tape everything into their journal so they do not lose it.)
#3 – Use bell ringers as a quick check to find out what students know. For instance, before a lesson on the properties of exponents, you decide to see if students remember how to use integer operations or if they remember that 5^3 really means 5*5*5. Before any lesson, think about what might cause some issues. Do not assume that students remember their math from past grades. Give them some problems and see what they remember. This will guide you to take a moment to reteach some concepts before you get started.
#4 – Bell ringers can simply be a way to get your students thinking or “get the wheels turning” as they say. Some teachers call bell ringers warm ups. That’s a good name! Before you run, don’t you warm up. You want to get the blood flowing and the muscles stretched. The brain is no different. It’s great to have students focused and thinking before you begin a lesson.
#5 – This reason is related to #4 above… Use bell ringers as a lesson opener. To get the “wheels turning” use a problem to spark interest in the topic you are about to teach. Real-life problems are a great thing to use. It really doesn’t have to be anything but a picture or a simple question. For instance, before a quadratic lesson you could have a picture of a football player throwing a pass. You could ask students to predict if the throw is accurate or how many yards the ball will travel. The great thing about this kind of question is that anyone can answer it. All kids are on an equal playing field. All students can be successful on these types of questions.
#6 – Here’s a biggie… Use bell ringers to fill in gaps. Welp, we all know how important that is at this time. Think about the students you teach. What’s missing in their learning. What did they NOT learn the past few years that you can practice through bell ringers? You could literally pull material from the previous grade level and reteach it. If your state has standardized testing, go pull from old tests. You could even go back a couple of grade levels. Think of the good this would do!
#7 – Use bell ringers to prepare students for standardized tests. Not all math teachers think about preparing students for college entrance exams or college placement exams. Your students will be taking tests such as the ACT, SAT, PSAT, TSI or ACCUPLACER. Why not give them a taste of what they will see on these tests? Students are not familiar with the questioning used on these types of tests. What a great service you would be doing for your students if you helped prepare them for what they might see on college entrance exams.
I hope I’ve given you some ideas. To me, bell ringers are another learning opportunity. To provide the best thing for your students, you need to think about your particular groups. My Algebra students need something different than my Geometry students most of the time. The only time that I may give them the same bell ringers is if I’m in the mode of preparing them for the TSI or PSAT.
My biggest concern for my Geometry students is how much Algebra they lost last year. I created an Algebra bell ringer resource just for them. When I’m doing these bell ringers with them, I’ll ask them to raise their hand if they remember certain things. It’s terribly disappointing how little they learned last year. I’ll link this resource below if you are interested, but here is a freebie related to those bell ringers. Each day there are four problems. I work two with them and then they do two on their own.
Your next question might be, should you grade bell ringers? I usually grade on completion. I have students keep the bell ringers in their journals, so sometimes during a journal check, I might refer back to certain bell ringers and ask them questions about them.
I’ve attached some of my bell ringers below that are in my TpT store. Half the battle is having time to create them. Remember, bell ringers do not have to be something you create. It can be an old worksheet that you didn’t get to or it can be review material that you have. I’ve used my TSI material a lot as bell ringers. I’ll pull a page out of a lesson and it will become my bell ringers for the week. The great thing about TSI or ACCUPLACER material is that it covers a variety of content that students should know from past math classes.
Here’s what I’m currently using with my Geometry Classes:
These next two resources are for college entrance exams:
I use any of my TSI resources to pull from for various reasons. I recently pulled from this activity for my Algebra class bell ringers to help recycle previous concepts:
I have all of my bell ringers including in one bundle so you can save:
If you like my ideas and tips, then consider joining my email list. If you chose to do that, then you will receive a free exponential function hands-on activity. Join Now!
Good luck with your bell ringers. If you are not on board, I understand. I have my reservations at times too. You need to do what is best for your situation.
Please follow me at my TpT Store so that you know when I upload new resources. All my new resources are 50% off for 24 hours.
It’s the truth! Factoring is a major topic and somehow, we have to make sure students can do it. Factoring is needed for all math classes after Algebra and for all college entrance exams (SAT, PSAT and ACT) and placement exams (ACCUPLACER and TSI). Algebra teachers have enough on their plate without this pressure, but it’s our job to teach it and hopefully it will be reinforced in future math classes.
About ten years ago, one of my coworkers showed me a cool calculator method that I use with struggling students. Some students have a hard time with their multiplication facts which will make factoring a nightmare for them.
I hate most calculator tricks, but this one is actually a great tool. Let’s say a student needs to know all the factors of 135. Have them go to the graph of the calculator and type 135/x (135 divided by x). Next have the student look at the table. In the table, they will look for whole number values. For instance, across from an x of 1, is a y of 135. That of course means that 1 and 135 are factors of 135. The next set of whole number values are x = 3 and y = 45. When the list of numbers starts repeating, all of the factors have been found.
Look at the sample factoring problem below this paragraph. I have my students multiply the 9x^2 and the -15. The answer is -135x^2. To the right of the problem, they draw a large X . On the top, they write the -135x^2 and on the bottom of the X, they write the middle term: 22x. Next, they start making a list of all of the factors of 135. I tell them not to think about the negative at first…just make a list of factors. If they are not able to do that, then use the calculator to make the list. Once the list is made, then the students decide which factors will multiply to get -135 and subtract to get 22. The answer would be 27 and -5. Those two numbers are written on the left and right side of the X. Next, the original trinomial is turned into a polynomial with four terms. The second step below was 9x^2 + 27x – 5x – 15, before I started the grouping process. The problem is grouped and the factors are found. (Yes, I teach grouping. It helps with this type of problem and it helps with factoring out a GCF. Don’t skip grouping. If you’d like to see more about how I teach factoring go to this Factoring Blog Post.)
Here’s a quick video explaining the same problem:
All students can factor! Believe it, teach it and recycle it!
Real-life examples in math are super important, but it takes time to think of examples and to prepare a lesson using your examples. A quick way to make a lesson interesting and tied to a real-life situation is to take a picture then pose a question. This gets students to analyze details of a situation.
In the next few weeks, I will be talking to my Algebra students about arithmetic sequences and direct variation. I have a great blog post titled, “Examples of Real-Life Arithmetic Sequences.” Check it out if you’d like. I love all the pictures in that post, but I thought I’d take a new picture that I could pose a question to see what the students would say. Below is the question and picture. Feel free to use it yourself if you like it.
(Yep, that’s my dishwasher in the background😂)
I’d give students a little time to think and jot their thoughts down. Next, I’d ask for feedback. Finally, my plan is to let them create a table using height of cups vs. number of cups for each situation. We will create equations and graphs and talk about the similarities and differences. Students will pay more attention to the details and take part in this activity. All the students will need is some grid paper and the picture which I will post on the board and in Canvas for them.
As a side note, I took this picture with my iPhone, then I used a free app called Layout from Instagram to create the collage. I used another free app called Typorama to add the question. Very simple and easy once you’ve done it a couple of times. I save all my photos in Google Photos which is easy to get to via phone or computer.
How is it going in your classroom? If it seems that your students are not paying attention and just not getting the concepts you are delivering, could it be that you are not engaging them? When school really gets going and you are super busy, it seems like we go into survival mode. The way we survive is lecturing because we really don’t have time to plan and be creative. I’m going to give you some ideas that turn a dull boring lesson into an engaging lesson without much prep.
Here are 5 Easy Ideas:
1) Get the dry erase boards out and dust them off! Kids love to draw on the boards, so give them equations to solve, equations to graph or shapes to draw. Maybe you had a worksheet planned. Don’t do it the traditional way, instead call out the problems and let them work them on the board then raise the board up to show you. You can make corrections and help kids that are struggling. You can have students show their partner and talk about which person may or may not be correct. Dry erase boards are a savior for me. I get them out anytime I feel like I have a boring lesson and it really spruces it up. 2) Find a related Desmos lesson. Desmos is easy to use and can be something quick to search and find quick lessons or activities for your students. If you are teaching exponential functions soon, I have a good activity from Desmos that I created. I would say to do this with Algebra 2 rather than Algebra 1. It’s called “The Towers“. I love the Tower of Hanoi and I use it in my Exponential Functions Stations. 3) Another quick way to gain interest in note taking is make the notes colorful or turn it into a graphic organizer. If you have 4 things the students need to know, then create a paper folding graphic where students write on the outside 4 flaps and they open to reveal answers, definitions or a diagram. Here’s two examples of using colored pencils or using a foldable:
4) Let the students partner up and go to a spot on the board or use poster paper. Ask them to write everything they know about a topic. I recently did this and the students did not realize how much they actually knew. I kept adding stuff and reminding them of a few things along the way. Before they knew it, they had a ton of concepts on the board. 5) Turn the lecture into a game. One way is to make it a Bingo Game. Create a list of things you know you will be saying that day and put it on the board. The students will be given a blank bingo card and can write the words randomly into the boxes. As they hear you say the phrase or word, they cross off that box. If they bingo, you will take off a couple of problems on the homework to shorten the assignment.
If you look up from a lecture and you have kids falling asleep or looking at their phones, you know you’ve got to do something to change the dynamics of the class. Try implementing one or two of these ideas in the next few weeks and let me know how it goes!
