I want the students to check out at least 4 posters. Once the posters have been created, it’s time for the Gallery Walk! 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. You can never put a larger disc on top of a smaller one. r is the growth rate when r>0 or decay rate when r<0, in percent. 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. There are so many interesting exponential function situations! The task cards cover recognizing growth and decay from an equation, transformations, key features of graphs, the growth and decay model and compound interest. Each teacher has their own unique way of teaching and their own unique classroom situation. Time t is also an interval of time starting from zero. The Sierpenski Triangle activity, the Tower of Hanoi and several more exponential phenomena are discovered and tinkered with during my Exponential Stations Resource. Graph a stretched or compressed exponential function. I usually get the students to trade and grade after all is said and done. This is the first thing I start with when I introduce Exponential Functions in Algebra 2. Sorry, your blog cannot share posts by email. I help the students go through the multi-representations to make sure they know what is expected of them when they start their poster. Students can use a calculator and even partner up if they want to work with someone. Exponential Growth/Decay Calculator. Your students are amazing and creative, so don’t think that they wouldn’t be able to make up a situation of their own. Real-life Examples of Solids of Revolution and Cross-Sections. I learned so much and I found that I was really interested in them. ( Log Out / I have all of these activities bundled (except for the google slides activity) into one package for 20% off. I cringe when I see this! There are so many interesting exponential function situations! Graph a reflected exponential … (Not a very creative poster either…ugh!). I’ve learned to watch out for misconceptions. I do have to talk about asymptotes because we have not discussed this concept much up to this point. You can entice students to create their own situation too. Find out more about how we use your information in our Privacy Policy and Cookie Policy. For some reasons, students do very well with task cards. Does anyone know how to change an exponential decay graph into a linear one using excel? Out of necessity last year, I created a Google Sides version of the lesson above. Click Here for the Freebie: Exponential Function Twizzler Freebie. We then put all of the triangles together to make a giant Sierpinski Triangle! It’s not the first lesson I teach when I’m starting this content, but it’s my favorite. Every student in the class will probably end up with a different situation. The conversations that I hear are amazing. Instead of making posters, the students create the table, graph and equation in Google Slides. Basically this lesson is a collaborative activity where the students are given an exponential scenario. t is the time in discrete intervals and selected time units. It would be hard to time these stations and expect students to be completely finished with each task. Next, I show them their choices which are: Every situation usually gets chosen. I love using this as a quick lesson opener. Very fun and engaging! They are told to be creative and display the information in a way that is interesting and pleasing. ( Log Out / We and our partners will store and/or access information on your device through the use of cookies and similar technologies, to display personalised ads and content, for ad and content measurement, audience insights and product development. They work through their problem and then share their information. One teacher used a speed dating strategy where the students worked through a problem on their own and became the expert. Graph exponential functions shifted horizontally or vertically and write the associated equation. Basically this lesson is a collaborative activity where the students are given an exponential scenario. 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. So there you have it! 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. eval(ez_write_tag([[468,60],'analyzemath_com-medrectangle-4','ezslot_1',340,'0','0'])); a1(t) = A1 e- r1 t : A1 = 200 I really enjoy them and think they are super fun. Tasty and fun. You could even let them create the table and graph in excel and present the problem in a PowerPoint. When I got my master’s degree, I did a study on exponential functions. I have a set of 20 Exponential Functions Task Cards. Really math labs or centers would be more accurate. Some students when creating graphs, will take the exact y-values and place those numbers on the y-axis. The number of discs and the least number of moves is an exponential function. I now have this version in my TpT store: Google Slides Exponential Functions Activity. Maybe I’ll let one class do the posters and one class do the digital form and compare the two. I’ve had feedback from teachers that have taken my activity and changed it to fit their needs. r1 = 0.01a2(t) = A2 e- r2 t : A2 = 100 Half-life is the period of time it takes for a substance undergoing decay to decrease by half. 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! ( Log Out / Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. r2 = 0.02Time Interval = 1000 Seconds. Students need to see that they can work on their own and figure things out. x(t) = x 0 × (1 + r) t. x(t) is the value at time t. x 0 is the initial value at time t=0. This set of task cards would be a great review right before an assessment. I tell them to title the poster and make sure every person in the group writes on the poster. I’d love to add things that teachers are looking for. They plot the table and then lots of discussions can take place about decay or even the concept of half-life. … I want every student to get a feel of how they should work through one of these scenarios. Students are told that they have inherited some money but to receive it, they must follow some rules. I feel like they learn a lot by working through this on their own. The lesson opener is a bacteria problem. where A is the initial amount (or population), r is the rate of decrease and t is the time. Creating that first activity sparked me into creating more and experimenting with some other ideas. Information about your device and internet connection, including your IP address, Browsing and search activity while using Verizon Media websites and apps. This is an online grapher for exponential decay functions of the form. a(t) = A e - r t . If you are intersted, then click on the pic below. It is usually used to describe quantities undergoing exponential decay (for example, radioactive decay) where the half-life is constant over the whole life of the decay, and is a characteristic unit (a natural unit of scale) for the exponential decay … I copy the pages as a booklet. If you can get most of these activities and lessons done, then your students will know tons of awesome math content. Students measure a Twizzler and jot down the data in a chart. Determine whether an exponential function and its associated graph represents growth or decay. Let’s say for example your function is [math]y = 5^x[/math]. Below is one of the slides that I graded. To enable Verizon Media and our partners to process your personal data select 'I agree', or select 'Manage settings' for more information and to manage your choices. Change ), You are commenting using your Facebook account. Measuring rates of decay Mean lifetime. Here is an example below that I didn’t catch until it was too late. I refuse to stand up and lecture over this topic so I let the students work through this unit at their own pace.

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