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!)
Sometimes you’ve just got to get started and quit worrying about the perfect way to do something! As teachers, we tend to overthink. We want everything to be perfect. In teaching, there is no perfect. Just dive in and GO!
There is no better place to start in geometry than with the three undefined terms: point, line and plane! First, I like to see what students remember from past geometry lessons so I’ll ask them to list as many things as they can think of from their past math classes that had to do with geometry. I am amazed at how many students just sit and stare when I ask them to create that list. Sometimes I’ll have to prompt them by saying, “Do you know any shapes?” If they say yes, then I say, “Then you know some geometry.” I’ll ask again, “Do you know what a right angle is?” They usually say yes, so this is a nice way to get the ball rolling.
Now that the students realize they have an idea of some geometric concepts, I begin my lesson. We talk about how hard it is to define a point without giving an example. I go on to talk about line and plane and we discuss how in real life, there are no lines that go forever on this earth so we have to use examples that come close.
Next, I bring up some other important objects to see if students know what they are, such as segments, rays and angles. Students usually remember these from the past, but they are not familiar with how to name them using symbols. We discuss how to use a combination of letters and symbols to name things and how sometimes, you can use multiple ways to name the same object. Students struggle with writing names of geometric objects the correct way, but they get better as the year progresses.
When I talk about angles, I like to bring out the patty paper. This really gets the definition of an angle across. I like to have students draw two different rays on separate pieces of patty paper. They call one Ray CA and the other Ray CB. We then work on creating different types of angles and then they tape it into their notebook. Regular paper would work for this as well. You can see through regular paper well enough to do this exercise.
Another geometric concept that students usually know before entering my class is supplementary and complementary angles. If they struggle on knowing the difference, I use this little trick seen on the left. After I show the students this visual, they never forget the difference!
I finally finish up the lecture part of the lesson by discussing adjacent angles, vertical angles and linear pairs. We also need to spend time on collinear points, noncollinear points, coplanar points and noncoplanar points. This lesson is packed full of vocabulary so students need to start an interactive notebook to keep all of this information. ***Play-Doh is a great visual when explaining some of the vocabulary!Imagine three Play-Doh balls place in a line with a pencil or a straw place on top of them. This would show collinear points!
We do some practice worksheets to make sure they are starting to understand. The next time we meet, we will work on the postulates that use these basic terms and try to use as many real-life objects as we can when discussing them. Here’s an example of my Google Slides presentation of one of the postulates:
I like to give a quiz over this lesson after students have completed the work. I give them a warning that the quiz will happen the next class. To make sure they do well on the quiz, we grade each other’s classwork and homework and make corrections and then give it back to the owner. ***In a virtual lesson, have students grade their own. Call on individuals to give their answers. I usually just give a completion grade over this because it’s not usually a pretty grade 🙂
The second big lesson of the year that I cover is segment addition and angle addition. This lesson has everything: measurement, setting up equations, solving equations and more postulates. It’s also great for continuing to discuss the correct way to name segments and angles. I love having students measure things because even in high school, they struggle on this. I find that they have misconceptions on how to measure inches. Students will try to measure something that is 1.125 inches as 1.1 because they are confused on the precision and do not understand that inches are not broken into tenths like centimeters are. (WHEW! Yes, sadly this is true.)
I’m ready to do this lesson virtually or in a live classroom this year by having rulers and protractors ready to go on my digital lessons. I’m anticipating some fun with this and I do expect some questions about accuracy. I know some students will round to whole numbers which is not what I want.
I love love love the equations involved in segment and angle addition. Students get practice on setting up equations correctly and then solving and plugging back in to find the segment or angle. It’s so important to use Algebra in Geometry as much as possible. ***Side note: If you are from Texas, your Geometry students will likely be preparing for the Algebra STAAR that they missed last year, so be sure to cover equations every chance you get.
I made a video preview of the digital version of this lesson if you’d like to take a look:
Before I give a quiz over the segment addition and angle addition material, I want to review all the things that we’ve done so far. I’ll give my students the Boom Cards that cover the first and second lessons. If you have not used Boom Cards, you need to start! I love Boom Cards. You can join for super cheap and there is even a free version, but you’ll want to upgrade after to you use it!
After all this practice, the students are ready for the next quiz. I like to give a lot of quizzes in Geometry because there are so many details and this is a great way to see how students are doing.
The last lesson in my first unit of Geometry covers distance and midpoint. This activity requires the student to be active! Students will discover both methods and see that they would probably figure out how to find these lengths and points or locations on their own using logic. Students should have learned Pythagorean Theorem in the past and I like to show the students how the distance formula was derived from the Pythagorean Theorem.
The last part of this activity is a silly made up story that I call the Zombie Turtle Problem. (Have you ever heard the Tom Petty song, Zombie Zoo? This song inspired me to do this problem. The song is silly but I love it.) I’ve placed some items on a map and the students have to find different distances and midpoints and then I tie in perimeter. Here’s a snippet of the problem:
I’ve recently made all three of these resources ready for a virtual learning situation. Teachers Pay Teachers has made this possible for all resources that were originally downloaded as a PDF. I’m excited that no matter what situation I go back to in the fall, I’ll have these up and ready to use whether I’m in a live classroom or I’m delivering my lessons via a digital platform.
All of these lessons are in Unit 1, but they come individually as well! Check out the links below. Good luck and I hope you’re excited for your first lessons in Geometry!
All 4 Resources in One!
1st Lesson in Geometry
2nd Lesson in Geometry
Review for the Quiz over 1st Two Lessons!
3rd Lesson in the Unit
All the Geometry Units!
What else do you like to do in your first unit that you don’t see here? Feel free to leave me a comment below!
It’s finally trig time! Yay! I love trig. Students tend to enjoy it too because it is so different from everything they have been taught so far. Over the years, I’ve tried different approaches to teaching trig. I know what kids struggle on and I finally feel like I’ve got a good way of teaching it. I see my trig unit broken into these parts:
Intro to Trig
Practice Finding Opposite, Hypotenuse and Adjacent
Setting Up Problems and Solving Them
Practice
Review
Assessment
More Assessment
Trig can be simple but to some students it can be complicated. They actually love it once they get the hang of it and how fun is it to use the calculator this much?! (When I first learned trig, we used charts to find the answers. We did not have calculators that would do the calculations. Yes, I’m old!)
When I created this unit, I knew what the two main issues were with teaching trig: 1) Teaching them which trig function to use 2) Teaching them how to solve the different types of problems
I decided to work backwards a little. In my introduction, I just tell them (As Bill and Ted would say) we are about to embark on an excellent adventurecalled Trig. I introduce a right triangle and tell them to visualize that they are in a right triangular room. They are sitting in one of the corners (not the right angle). I go on to talk about where opposite is and how when you are sitting in the corner, you can touch the hypotenuse and adjacent sides at the same time, but you can’t reach the opposite side. There are some notes we take and then we play a dice game.
For the dice game, I usually get my first class to cut out and put together the dice. Now I have the dice for the rest of the day. I put students into groups of 3 or 4 and they are competing against the rest of the class. There are three dice. One with triangles, one with dots and one with the words, hypotenuse, opposite and adjacent. Click the link below to watch the dice game which practices knowing the different sides with respect to a certain angle. Dice Game Short Video.
Before going any further, I teach kids SOH CAH TOA and we do some practice on finding those ratios. That part is normal progression, but here is the part that might seem a little backwards:I teach them how to solve trig equations next! The students do not know how to set them up yet, but I have figured out that if I go ahead and teach them how to solve the equations, then once they start setting them up, solving is a breeze. I teach them how to solve these three types of problems:
Looking for an angle
Looking for a side and the x is in the numerator
Looking for a side and the x is in the denominator
By the way, when teaching them how to solve these problem, get them to completely solve for x before typing anything into the calculator. Don’t let them find the sin of an angle, then multiply by the side. Let them type the whole thing in: 12 sin(36). I like this method because then the students aren’t rounding answers until the end of the problem. You can see that I did that in the examples above in problems 5 & 6.
Next is the PowerPoint. In the picture to the right, you can see one of the slides in the PowerPoint. Only the triangle with the sun, and the two arrows appear and students have to name which trig function is being referenced. I don’t use degrees for a while, I’ll just use symbols. I don’t want the variables and numbers to get in the way. Toward the end of the PowerPoint, the students are asked to set up the problems and then at the end, they go back to solve them.
Now it’s time to practice. I have 3 worksheets that help students find missing sides and angles. The first one places only an x on one side, a number on a side and gives one angle. This makes it easy to determine the trig function and it is like the PowerPoint. The next worksheet gives the students two sides and asks them to find the missing angle. The last worksheet is the toughest because now the students have to find x, y and z… two sides and an angle. This is much more difficult because it will not be obvious from the start which trig function to use. Students need to see that they actually have a choice sometimes and they need to decide where to start and ignore the extra info. I also throw in some special right triangles and an right triangle altitude problem to see if they remember those rules. The PowerPoint from earlier brings up that there might be more than one way to solve a problem, so hopefully when they get to the worksheet, they will use a quick special right triangle rule instead of trig, but if they can find the answer either way, I’m happy.
I have another resource that is not in this trig unit that I do at this point. It’s the Trig Maze. The students really get into it and work at it. It’s cool to work a problem and then see your answer on the paper (they are thinking, “YAY, I did it right!”) and it’s even cooler that it leads you to the next problem you are supposed to work. The maze comes with an answer document, so you can see all of their work!
Finally, I like to do some task cards with some real-life situations. Some of the task cards contain a ladder against a building, finding a flagpole height, finding the diagonal in a rectangle etc. There are 12 of these problems.
I end the unit with what I call the “Poodle Problem”. It is a group of 5 triangles that have been put together to look like a poodle. Go back and look at the very first picture at the top of this blog. That’s the Poodle Problem! The students find all the answers, then total them for one final answer. How fast is this to grade? Super fast! It’s a great quiz and a great end to the unit.
I’m not finished yet! Now I like to test all of the right triangle content. I have a test that I call the Right Triangle Test that has 10 questions with the following problems:
One Pythagorean Theorem Problem where they have to find the perimeter of the triangle.
One Right Triangle Altitude Problem where they have to find the perimeter of the triangle.
One 30-60-90 Problem where they have to find the area of the triangle.
One 45-45-90 Problem – easy, they just find the hypotenuse
Six Trig Problems – Just find a missing side, except for one problem is like the task cards, but a little tougher.
I had problems with cheating one year, so I went crazy and made 5 versions of the same test. You even have a choice of an answer bank or no answer bank. One of the 5 tests is a shortened version that I’ve used as a retest or a modified test. (It gives the students a little help on setting up some of the problems too.) I don’t like to give long tests. Students get enough testing. I like tests that are short and to the point. As long as I can tell they “get it”, why does it have to be super long?
I’m very happy with this unit. The only thing that it doesn’t contain right now is angle of elevation and depression problems. I’ll try to add this to the unit this summer. These problems were a big deal at one time, but it seems like we’ve gotten away from them in Geometry. I still think it’s good for students to see them.
Trig is fun and different and essential to future math classes. Below is all of my right triangle lessons including the Trig resource I’ve been talking about. What’s next on my agenda after right triangle trig? Law of Sines and Cosines of course! Law of Sines and Cosines is sold separately in my store, but it is also a part of Unit 7 below.
One of my goals as a math teacher is to present real-life math every chance I get. It is not always easy, I have to admit. When I was in college and the earlier part of my teaching career, I was all about the math… not how I might could use it in real life. I’ve made it a goal of mine to find real-life situations. I’ve also tried to catch the situation in action, but it’s not always possible especially since sometimes I think of an idea while driving or when I’m falling asleep at night.
My recent thoughts have been about arithmetic sequences. Seems easy, right? They are linear. There are a ton of linear situations. Yes, but I want visuals! I also did not want the situation to be a direct variation or always positive numbers and always increasing or positive slopes.
Below are some of the situations I’ve come up with along with a picture. I’m happy for you to use these situations with your classes. When you are finished reading this post, please consider filling out this feedback form called: Understanding Our Visitors. Enjoy!
Stacking cups, chairs, bowls etc. (Stacking anything works, but the situations is different when one thing fits inside the other.) The idea is comparing the number of objects to the height of the object.
Pyramid-like patterns, where objects are increasing or decreasing in a constant manner. Ideas for this are seats in a stadium or an auditorium. A situation might be that seats in each row are decreasing by 4 from the previous row. I use this in one of my arithmetic sequence worksheets.
Filling something is another good example. The container can be empty or already have stuff in it. An example could be a sink being filled or a pool being filled. (Draining should also be considered!) The rate at which the object is being filled versus time would be the variables.
Seating around tables. Think about a restaurant. A square table fits 4 people. When two square tables are put together, now 6 people are seated. Put 3 square tables together and now 8 people are seated. I really love this example. You can use a rectangular table as well and start off with 6 seats.
Fencing and perimeter examples are always nice. Discuss how adding a fence panel to each side of a rectangular fence would change the perimeter. Figure one could have one panel on each side (or change it so it isn’t square). Figure two could have two panels on each side. Each time find the new perimeter. The possibilities for fencing are endless. But how fun would it be to get actual toy fence pieces and do this in your classroom?!
Even though this is not particularly a real-life situation, it’s still good because the visual is real life. The students can touch the objects or even create the pattern themselves! Use toothpicks, paperclips or even cereal to make patterns. If you’d rather set them up somewhere in the room for math centers, then that would be good too! The following is an idea with cereal. If you count total Froot Loops, it’s not arithmetic, so it’s best to stick with rows, perimeter, or sides of the triangle to stay with a linear pattern. (Counting all of them is an area problem, so that would make it quadratic.)
Negative number patterns are not as easy to find. Our thoughts usually go to temperature or sea level. There are some fascinating places on earth that are below sea level. I think it would be cool to do a study on some of them. Once you’ve talked about some of these places, then various situations could be created like, during a rainfall the surface of the water started at 215 feet below sea level and rose at a rate of such and such per hour.
Situations involving diving in the ocean could be used as well. Did you know that a diver should descend at a rate no faster than 66 feet per minute or ascend at a rate of no more than 30 feet per minute? I’m sure many students don’t know why and this could certainly create some great accountable talk.
I hope I’ve given you plenty to think about. It’s really fun to create these problems. Students need to know that their math is real and useful! I hope this encourages you to use some of these examples or make up some of your own. I’d love to hear some of your examples. Leave a comment if you’d like. We can all learn from each other!
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Some of the examples I used above are in my Arithmetic Sequence Activity seen below. When I was creating this resource, it really stretched my thinking. I wanted to create something that students could learn from and see how these patterns are involved in real-life situations. I’ve attached a couple more of my resources. I’m also have a Geometric Sequence Activity that you can go check out. The second resource below would be a great follow up after teaching arithmetic sequences. It’s a Boom Card Activity. The third resource is an arithmetic and geometric sequence and series game. It is really suited for Algebra 2. The resource at the bottom is a formula chart for geometric and arithmetic sequences and series. There are 10 different chart choices! Go take a look!
