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Where to Start with Distance Learning

Many teachers are in the same boat. You might be thinking…I do a few things online with my students, but not much. If the extent of your online teaching/learning has been Kahoot or Quizlet, then good job! That’s a start. Don’t be ashamed. If you have dabbled in Google Classroom, then Yay! The key is not to be afraid to try new things. There’s always a learning curve, no doubt about it. The more you become familiar with something, then the easier it will be. The key is to start!

So how will you reach your students? Your district is probably scrambling to come up with a plan. I know my district has been having internet issues… as in a virus attacked our whole system. Google Classroom was being used by most of our teachers, but when the district internet and website when down, we couldn’t access Google Classroom. Luckily I was using Blogger. If you’d like to read more about how I use Blogger, then go here: Using Blogger for Online Teaching. I love Blogger because I do not have to rely on my district for anything which is a blessing!

I think it is important to find something you feel comfortable with and something that is free! If you already use Remind with your students, this would be another way to guide them to where you want them to go. If you’ve never used Remind, then check it out here: REMIND. It is not a website, but it is a way to communicate with your students, so let’s say you wanted your students to go to a video, or go do an online activity, you could tell them through Remind!

Once you know how to stay in contact with your students, it’s time to figure out what activities to give them. The reason I love Blogger is because I can use a picture of my resources and place them on my blogspot. How do I check to see if they did it? I’m planning on checking their journal at some point. Right now with COVID-19, I don’t know if we will go back to school anytime soon, so the next thing I gave them was a Quizziz.com activity to see if they understand this material. I love this platform because I can look at the report to see if they did it, how many times they attempted it and how well they did. I stick with these free online tools to check for understanding as well as to teach:

  • Google Slides – like PowerPoint (use with your google account…if you have gmail, you have google slides)
  • Google Forms – Good for assessment (if you have gmail, you have google forms)
  • Hyperdocs – A way to deliver your lessons and provide links to online tools. This site has several templates and tutorials.
  • Quizziz – Self-checking
  • Boom Learning – Self-checking
  • YouTube – Video Learning Tool
  • Khan Academy – Video and Tutoring Tool
  • Flip Grid – Video Tool (students explain a concept on a short video)
  • Desmos – Graphing Calculator Tool with Free Lessons – There are two places you will want to use: Free Calculator and Teacher Resources
  • Screencast-O-Matic – Video your computer screen while you are explaining.

My suggestion is not to overwhelm yourself or your students. Pick a couple of resources that you feel are best for you and stick with them for a while. Ask other teachers in your school what they are using. Get with teachers in your department and share the workload. Some other tools you should check out are Google Meets and Zoom. These are video conferencing tools where you can actually see your students live.

If you are a secondary math teacher, then I have several distance learning activities in my Teachers Pay Teachers Store that you might be interested in. I also have a Boom Learning Store called Time Flies. You can go to either store and find all kinds of things that would be helpful. Here’s the link to my distance learning resources in my Time Flies TpT store.

I wish you the best in your online teaching journey. You can do this! If you have any questions, please feel free to comment below. Good Luck!

***New on Teachers Pays Teachers! If you purchase a PDF, then that resource might be eligible to use digitally. Look to the right of the product page and if you see “Create Digital Activity” button, then you have access to a digital resource!

Looks like this on the product page after your purchase:

Here’s what it looks like when you are preparing it to be assigned. You can change things as you see fit.

More of my favorite activities that can be used digitally:

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4th Grading Period in Algebra – Closer to Testing Season!

I cannot believe that the 4th grading period has come and gone already. Where does the time go? I’ve concentrated on solving systems, exponent rules and geometric sequences. We have just started the beginning of growth and decay for exponential functions. I feel like I’ve done a lot, but I was talking to a teacher today from another district that said that they are almost finished with the curriculum and they will have about 5 or six weeks to review for the STAAR test. I’ve still got to wrap up exponentials, foil, factor and get through quadratics in the 5th six weeks before I’m ready to start reviewing.

Here are some specifics about what I’ve done this grading period! Let’s start with systems. One thing about solving systems is that if you are behind in your curriculum, this is where you can catch up. You can hold off teaching your students the substitution method and the elimination method until after the test and just make sure they know how to set up systems and that they know how to solve systems on a graph or using linSolve on the nSpire calculator. I did not show them linSolve yet. I showed them how to find the intersection on the graph, but it gets complicated if students need to solve for y or if the graph’s window needs to be altered. LinSolve is a life saver and I’ll show my students how to use it before the test. I have a quick google slides activity that I like to use after I teach students how to graph systems. It also helps me to know which students are still struggling with solving for y. I have three free videos too on solving systems using various methods. These are perfect for a flipped classroom or just extra practice. The video on graphing would be great to show before doing the google slides activity! By the way, be sure to check out the new TEA calculator rules as of 2/13/2020.

I love exponent activities and I have created quite a few for my students to use. I’ve also experimented with different ways to get the students to understand the rules. The STAAR test usually has several exponent problems. I’ve seen some complicated multi-step problems. I try to get my students to understand how to find equivalent answers. I want them to know there is more than one way to write 5x^-2. I do a lot of practice with negative exponents and I work hard on the exponent of zero. I talk about how exponents are kind of like 9th graders, they don’t follow the rule of the problem. They are rebels and follow their own rules. I’ve tried PowerMan too. PowerMan is a fun way to get the students to write down the rules. See below:

The PowerMan Explanation is at the end of my Properties of Exponents Activity in my store. I tend not to use it as the introductory method of learning exponents. Instead, I wait until I’ve taught the rules and then I’ll say, “Now, here’s how you can remember all these rules.” I get bored with worksheets, so I’ve also got a few digital exponent products. One is a google slides activity and another is just for the product property only and it is a Boom Card activity. I have a Time Flies Boom Learning Store too. If you have never heard of Boom Learning, it is worth your time to check it out!

Before I really get into exponential functions, I like to introduce geometric sequences. This leads perfectly into exponentials. Students like patterns and even though the formulas are not exactly student-friendly, they usually figure out what the explicit and recursive formulas are all about. I like to do some hands-on activities too. This is my lesson that I use. It take the students through all the terminology. This is all they really need to know to be successful on the STAAR. (Which by the way, really isn’t what I’m all about, but it is part of my job to make sure they pass the test!)

My students took a benchmark created by our district this grading period. I noticed that the person that created the benchmark, took the 2019 May test and basically wrote a similar version. The first problem was a slope question and the second problem was a range question for a quadratic just like the 2019 test. I’m kind of glad they did this because I’m going to go over the benchmark and then I can use the 2019 test questions to see if the students understand their mistakes from the benchmark. If your district does not have your students take a benchmark, then I would suggest using the 2018 test as a benchmark. Divide the test up into several days and let the students take it. You can get the students to help you grade it. The TEA website has all the tests and answer keys here.

Out of 28 students, I had 20 pass the test with a 21 or better raw score. There were no surprises there. I had one person, only get 14 correct which is disturbing. She has struggled all year, but I didn’t think she was one of my lower students. I gave the students their benchmarks back this past Friday. I’m having them make corrections on the problems that have been taught in class that they missed. At the point of when they took the test, we had not learned about exponents and quadratics, so all of those questions are not important right now. The way we are correcting the test is I’m having them make three columns on a piece of paper. The first column is the problem number. The second column is their original answer. The last column is for their new answer with an explanation or work shown. I plan on looking at these very closely and working one-on-one with students that are not sure of how to work through some of the problems. I told them it was ok to say, “IDK”. I usually hate them writing this as an answer, but I really do want to know if they are clueless. I have not shown them one single calculator trick so far (nsolve). I hate showing them how to work problems without really knowing what they are doing, but there will come a point when I’ll bite the bullet and explain some of those tricks.

I’ve started a tutoring time during my advisory (homeroom) on Tuesdays. I started this before the benchmark but now I need to reevaluate the students that I have in there. Most will not change, but I have one I can take out and put a different student in his place. They are working in a program provided by our district. I’m not entirely sold on the program. I feel like I’m useless because I’m just making sure they are working in the program. These kids need more than this, I think. They have gaps and I doubt they are getting what they need from the program, but I’m going to continue to use it and give it a chance.

So there you have it. The fourth six weeks is done! My new plan is to focus on finishing the curriculum and focusing on the students with the most issues. I have my own review material that I will be starting. One thing that will be happening soon is I will have my students make some flashcards. I will have them start working through the flashcards and then we will begin taking quizzes over them. I make the students take the quizzes until they make at least an 80 or better. Originally the flash cards were meant to be task cards. You can find the cards and the quizzes in the resource below. I’ve also attached my STAAR Review Bundle. Good luck and hang in there! Our students will succeed!

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Algebra – 2nd and 3rd Grading Periods – Moving Toward the STAAR!

This is a continuation of some of my earlier posts. I was so proud of my students last year for passing the Algebra STAAR, so I wrote about it here: How I Got a 100% Passing Rate on the Algebra EOC Part 1 and Part 2.

I promised that I would keep anyone interested up-to-date this year on my progress. I love doing this because I’m going to be able to look back and see where I want to improve after I get my results this year. Here’s my post on the first six weeks: First Six Weeks in Algebra I

I lumped the 2nd and 3rd 6 weeks together in one post because I have so many interruptions during this time. Every time I turn around there’s a field trip, a district benchmark, PSAT, TSI or other disruptions. My strategy has been to get through as much content as possible. I know my students very well at this point and I know who to keep an eye on.

The content that we’ve covered heavily is seen below:

I’ve pressed on and given lots of quizzes, tests and homework.

Some of my favorite activities have been some boom cards that I’ve made. The set of cards in the the resource below has 20 questions. Click here to go do the first four cards in the student view.

So far I haven’t pulled many questions of old STAAR test. Their minds were blown when I was explaining the recursive formula in arithmetic sequences. I did look back into old STAAR test to see how often sequences have been tested. The only question I could find from the the past three years was this problem from the 2017 released test:

In general, arithmetic (and geometric) sequences are not a big part of the test. The 2019 test did not have any questions on the topic. This question below is from the 2018 test:

I suspect that they rotate questions from the TEKS and that next year there will be at least one question like #22 or #9 above.

I wanted to start some recycling of the first six weeks through practice sheets like I did last year but life happens and I did not start this. (Side note: I’ve been teaching for 33 years. I always make plans to do this or that, but I’ve learned that I cannot always get to everything. Please don’t beat yourself up if you do this too. A lot of things in education and the school environment cannot be controlled. Don’t worry if you have visions of grandeur but it doesn’t always work out.) One thing I do feel good about is that I do not let the students use a calculator every day. They have to do math in their head. They did a lot of solving for y and manipulating formulas so they did get a taste of some of the things from the first six weeks which was mostly solving equations. Another thing I feel ok about is I know that I’m about to do systems which will also be good for practicing solving equations. We will also hit inequalities again through systems, so recycling information is going to happen naturally!

While on the topic of systems, if you are behind in your curriculum, this is a good time to try to catch up. Systems are important, but you can save solving for systems for after the STAAR test. Teach them how to set them up and solve them on the calculator for now. I hate this, but at the same time you have to make sure you cover all the material. Save solving systems algebraically for later if you need to.

I promised myself that I would make sure and have students explain the math they were using more. I wanted to know if they really understood how to solve for y and graph equations, so I made a flipgrid question when we got to solving and graphing inequalities. The students really enjoyed it and it was an eye opener for me. Students have a hard time with the vocabulary and I could tell who was bluffing their way through explaining the process.

The second semester has started and now it’s crunch time. I have to be deliberate in everything we do. We are starting with graphing and writing linear systems and then on to exponent rules. Check back to see what happens next!

This comes in a regular version too!

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Examples of Real-Life Arithmetic Sequences

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!

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Algebra Christmas Worksheet

Several years ago, I wanted a fun Algebra worksheet that my students could do during December. I created the worksheet and we did it that year and then I changed schools and forgot about the worksheet. A friend of mine at the old school I was at sent me an email: Hey, can you send me that worksheet we did a couple of years ago that had the Christmas tree on it? I had to think for a minute…Where did I save that? I found it and made it even better and sent it to her. I was so glad I found it. As I was looking through the problems, I was thinking about how great this worksheet is right before the semester final. It’s got so much good stuff on it.

The topics covered are:

  • Knowing if a slope of a line is positive or negative.
  • Finding slope and y-intercept from equations and graphs.
  • Finding slope from two points.
  • Using different forms of equations: slope-intercept, point-slope, standard
  • Finding domain and range.
  • Graphing a line from an equation.
  • Writing an equation from a line on a graph.
  • Taking a problem situation and writing an equation, then graphing it.

I’m very pleased with all the material covered and I’m looking forward to this worksheet being a part of my semester final review. Here are a couple of pics from the front and back of the worksheet:

This worksheet comes with an answer key. Click the picture of the product below to go check it out in my store!

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How I teach Factoring

Factoring is one of those skills that students must know how to do since they will use it in every high school math class. This skill is one of the most important skills and unfortunately some students never really get it. I hear calculus teachers complain about how their students can’t factor. Students should already know how to factor before entering calculus but why don’t they? Factoring will be in all the college entrance exams too because students need to know how factor for their college math classes. I know in Texas that students can know very little about factoring and still pass the Algebra EOC. Questions on the EOC can be figured out by working backwards from the answer choices. There usually is one question each year where students have to find one of the factors which does make it a tougher question. Students really do not learn how to really factor until Algebra 2.

When I was in high school the method that was taught was guess and check. We got pretty good at it but back then you knew your multiplication facts very well. When I first started teaching math, I honestly had no clue how to teach factoring. I’ve done every method or fad that came along but I have settled on a method after realizing that this is how it is taught in many college algebra classes. The method I use is GROUPING! I focus heavily on finding GCF’s and factoring by grouping and then when it’s time to factor the tough trinomial problems, we turn them into grouping problems.

I start the factoring unit by teaching the students how to factor out a GCF. To help them understand, I’ll sometimes call it “undistributing”. Once they understand how to factor out a GCF, then I give the students grouping problems. They are taught to group the first two terms and the last two terms and then factor out a GCF. I tell them that if they get the same answer in both parenthesis then they have worked the problem correctly. They factor out the common parenthesis and make another parenthesis with the leftovers. Once they get good at this then I talk about differences of squares and perfect square trinomials.

These are my notes from my Algebra 2 classes this year:

Next I teach them to spot easy trinomials and hard trinomials. I later explain that they are problems that either have an “a” equal to one or an “a” greater or less than one. I discuss how the signs work in trinomials:

  • + + = ( + )( + )
  • – + = ( – )( – )
  • – – = ( – )( + ) the larger number gets the –
  • + – = ( – )( + ) the larger number gets the +

When I teach the a = 1 problems, I tell the students to go to the last number and ask, “What multiplies to get the last number that will add or subtract to get the middle term.” Students can do this pretty well…especially if they know their multiplication facts.

When I teach the hard trinomials (a>1 or <1), I have the students draw a big X to the side of the problem. The students are directed to multiply the first term and the last term in the trinomial. They write that at the top of the X. The middle term goes at the bottom of the X. Next, they ask that same question about what multiplies to get the top number that adds or subtracts to get the bottom number. The students write it on the left and right side of the X. Now it’s time to turn the problem into a grouping problem. The students are told to write the first term of the original problem, then the two monomials they just found and the last term of the original problem goes on the end. Factor by grouping and they are done.

I know students should know this by the time they are in Algebra 2, but many of them don’t. I usually try to break these notes up into two days. I assign Games 1 – 6 of my Factoring Using Seek and Find. I love this activity because the students know if their answers are correct or not by finding the answers in the puzzle.

A quick tip on helping students that aren’t good with their multiplication facts. If they want to know for instance what multiplies to give you 300 that would subtract to get 44…Have students type 300/x into a graph of a graphing calculator, then go to the table. The table contains all the factors. I tell them to ignore all decimals. They will see a 50 and a 6 in the x and y columns. They can reason that if they subtract, they can get 44.

Factoring is a very important concept and students need this skill to survive in their upper level math courses. I finally feel confident that my students understand it since I now stick with a certain way of presenting it to them. I truly believe in the way I teach factoring and I hope that I have given you some ideas on how best to help your students successfully learn this concept!

For my Algebra I classes, I made some factoring matching cards you might be interested in: Factoring Matching Cards #1 and Factoring Matching Cards #2.

I also made 4 sets of Boom Cards. Boom Cards are awesome because you can have your students work through them as many times as they want until they understand. They are great for digital learning!

I finally have all of my factoring activities together in one bundle. You can never have too many factoring options. Factoring is a biggie and we all know how students tend to be weak in this area. The calculus teacher at my school is always telling me how students forget how to factor. This skill needs to constantly be recycled until it finally sticks!

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9 Exponential Functions Activities That Are A Must!

I could do exponential functions all year. I really enjoy them and think they are super fun. When I got my master’s degree, I did a study on exponential functions. I learned so much and I found that I was really interested in them. I created this first lesson more than 10 years ago and have been using it ever since! Creating that first activity sparked me into creating more and experimenting with some other ideas. I’m excited to share with you my list of 9 Must Do Exponential Function Activities!

(1) Exponential Function Poster Activity:

This is my very first exponential function activity that I ever created. It’s not the first lesson I teach when I’m starting this content, but it’s my favorite. This activity is the ultimate collaborative and differentiable activity. There are so many interesting exponential function situations! It’s been tried, tested and tweaked. Basically this lesson is a collaborative activity where the students are given an exponential scenario. The groups must create a multi-rep poster where they collect data, draw a graph, write an equation and answer a question.

The lesson opener is a bacteria problem. I want every student to get a feel of how they should work through one of these scenarios. The bacteria problem talks about what bacteria are and how they can multiply very quickly. I help the students go through the multi-representations to make sure they know what is expected of them when they start their poster.

Next, I show them their choices which are:

  • A Chain Letter Problem
  • A Zombie Situation
  • A Tournament Bracket
  • A College Football Situation
  • Making Friendship Bread
  • A Lovely Cockroach Scenario

Every situation usually gets chosen. You can entice students to create their own situation too. The college football situation was a student idea from years ago that I have improved upon to make it work better. Your students are amazing and creative, so don’t think that they wouldn’t be able to make up a situation of their own. The student of mine that created the football problem was not one of my top students, but because he was the one that thought of the scenario, he was interested and did a great job of completing the task.

After the bacteria problem, I turn the students loose and let them start their work. They are told to be creative and display the information in a way that is interesting and pleasing. I tell them to title the poster and make sure every person in the group writes on the poster. I supply the poster paper, the markers and the scenario sheets.

I’ve learned to watch out for misconceptions. Some students when creating graphs, will take the exact y-values and place those numbers on the y-axis. Here is an example below that I didn’t catch until it was too late. I cringe when I see this! (Not a very creative poster either…ugh!)

Once the posters have been created, it’s time for the Gallery Walk! I want the students to check out at least 4 posters. I’ve created a page that students fill in while looking at the posters. They have to write the title of the poster, determine the domain and range, decide if the situation is growth or decay and then write down one thing they may wonder about the situation. The conversations that I hear are amazing. They love getting to look at the other posters and they love to critique them as well.

I’ve had feedback from teachers that have taken my activity and changed it to fit their needs. One teacher used a speed dating strategy where the students worked through a problem on their own and became the expert. The possibilities are endless. Each teacher has their own unique way of teaching and their own unique classroom situation. If you have a group of rowdy kids that you don’t want up running around, then let them do their own problem on notebook paper or graph paper. You could even let them create the table and graph in excel and present the problem in a PowerPoint.

Check out this activity in my store: Exponential Functions Activity

(2) Exponential Function Activity in Google Slides Form

Out of necessity last year, I created a Google Sides version of the lesson above. I’m having a hard time deciding which one to use this year. Instead of making posters, the students create the table, graph and equation in Google Slides. This doesn’t sound very exciting except that my whole class was in the same Google Slides all working at the same time. I was 2000 miles away monitoring the activity. They asked me questions and I could see them working in real time. I loved it so much that I’m honestly going to have a hard time deciding what I should use. Maybe I’ll let one class do the posters and one class do the digital form and compare the two. If you are big into digital resources you will love this. I now have this version in my TpT store: Google Slides Exponential Functions Activity. Below is one of the slides that I graded. Looking at this now, I should have asked the students if this situation was discrete or continuous.

(3) Tower of Hanoi

Find a Tower of Hanoi game on the internet or have the students download an app on their phone. The object of the game is to move the discs from one stack to another stack in the least amount of moves. You can never put a larger disc on top of a smaller one. The number of discs and the least number of moves is an exponential function. It’s fun to let the students play a while and get them to create a table of the number of discs and the least number of moves and then see if they can figure out the exponential function.

(4) Twizzler Decay Activity

Tasty and fun. This is a freebie I’d like to share with you! I love using this as a quick lesson opener. Students measure a Twizzler and jot down the data in a chart. The student folds the Twizzler in 1/2, cuts it and measures it. Each time the student continues this step until there is not enough Twizzler left to work with. They plot the table and then lots of discussions can take place about decay or even the concept of half-life. Click Here for the Freebie: Exponential Function Twizzler Freebie

(5) Exponential Function Unit

This is the first thing I start with when I introduce Exponential Functions in Algebra 2. I refuse to stand up and lecture over this topic so I let the students work through this unit at their own pace. I copy the pages as a booklet. Students can use a calculator and even partner up if they want to work with someone. I let them work through the unit and figure out most of the information by graphing and using the information that they have already learned earlier in the year about transformations and domain and range. I do have to talk about asymptotes because we have not discussed this concept much up to this point. I teach on a block schedule and it takes most students a good 2 class periods to get this packet done. Topics covered are transformations, e, compound interest, 1/2 life, growth, decay, domain, range, y-intercepts, asymptotes, an inverse problem, writing equations from tables, growth and decay model scenarios, a paper folding activity, assessments and bell ringers and lesson closers. There’s a ton of information. I usually get the students to trade and grade after all is said and done. I feel like they learn a lot by working through this on their own. Students need to see that they can work on their own and figure things out. If you are interested, click the link: Exponential Functions Unit.

(6) Exponential Function Task Cards

I have a set of 20 Exponential Functions Task Cards. For some reasons, students do very well with task cards. If you put these same 20 questions on a worksheet, some students will be bored or are overwhelmed with thinking about doing a 20 question worksheet and they will give up. Take the same 20 questions and put one on a card, now they will sit there and work through them. It’s amazing! This set of task cards would be a great review right before an assessment. The task cards cover recognizing growth and decay from an equation, transformations, key features of graphs, the growth and decay model and compound interest.

(7) Sierpenski’s Triangle

How do you get all of these activities done? Part of my strategy is to do them in stations. Really math labs or centers would be more accurate. It would be hard to time these stations and expect students to be completely finished with each task. The Sierpenski Triangle activity, the Tower of Hanoi and several more exponential phenomena are discovered and tinkered with during my Exponential Stations Resource.

I love the Sierpinski Triangle activity because not only do the students create beautiful art work, they have to collect data on the number of shaded or unshaded triangles. We then put all of the triangles together to make a giant Sierpinski Triangle!

(8) Compound Interest Study

Students are told that they have inherited some money but to receive it, they must follow some rules. Every student in the class will probably end up with a different situation. Each student gets 4 cards that tell them how much money they inherited, how long they have to invest it and 2 different compounding options to compare. They work through their problem and then share their information. This study sparks lots of good conversations and helps the students realize that compounding doesn’t make much difference but time invested does make a difference! Get the Compound Interest Study Here!

(9) Marble Slides Exponential Function Desmos Activity

If you aren’t using the Desmos Graphing Resources, you need to start. I love the Marble Slides Activities and so do the students. There are several Marble Slides Activities for various functions. The object is to change the equations so that when the marbles are dropped, they travel the correct route and hit all of the stars which means success. Students learn how to manipulate the equations so that the marbles do just what they want. Very fun and engaging!

So there you have it! If you can get most of these activities and lessons done, then your students will know tons of awesome math content. I have all of these activities bundled (except for the google slides activity) into one package for 20% off. If you are intersted, then click on the pic below. If there is something that you can’t find, please let me know. I’d love to add things that teachers are looking for. Thanks for visiting this article.

Happy Teaching…