mc clory, shawn graphing exponential functions

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Graphing Exponential Functions Integrating technology into the 10 th grade classroom By: Shawn McClory

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  • 1. Graphing Exponential Functions Integrating technology into the 10th grade classroom By: Shawn McClory
  • 2. Technology Integration Rationale: When graphing exponential functions it is important to see the differences in functions based on varying factors in the equation. Visuals such as the St. Louis arch can show students how it appears in everyday life and other web based technologies can show students the different behaviors of these functions.
  • 3. Internet Content There are a lot of different examples on the internet of graphing different exponential functions. The next several slides show examples of information from the internet to enhance this lesson
  • 4. Khan Academy Khan Academy is a very reliable source for helping teach material that someone is struggling with. This link takes you to a video from them that addresses graphing exponential functions: https://www.khanacademy.org/math/algebra/ algebrafunctions/graphing_functions/v/graphingexponential-functions
  • 5. ThinkWell Blog On this site there is a lot of information that help fully grasp the idea of graphing exponential functions. There are some helpful videos as well as explanations that will address different areas of graphing. http://blog.thinkwell.com/2011/03/graphingexponential-functions-useful-patterns.html
  • 6. YouTube Video Thsere are a lot of videos on YouTube that are created by different people to address graphing exponential functions. These all have different approaches and can help if a couple ways do not make sense because there are different ways of looking at it. Here is one example: http://www.youtube.com/watch?v=ls78_2UBcdY
  • 7. Agency for Population Growth Exponential functions are used to monitor population growth which can be a rising problem for different species. Here is one organization that looks at population growth: http://www.csa.com/discoveryguides/ern/01 mar/overview.php
  • 8. Population Control of Cats and Dogs Population control of everything can be monitored through different exponential functions. This is an agency that speaks to monitoring the population of cats and dogs. https://www.avma.org/KB/Policies/Pages/Dog -And-Cat-Population-Control.aspx
  • 9. Animal Population Control This is the CT state agency that monitors animal population in general. They also use exponential functions and this gives a background of why it is necessary to do this: http://www.ct.gov/doag/cwp/view.asp?a=136 7&q=259104
  • 10. Inspiration Step by Step guide of how to graph after a lesson in case a student forgets the order of the steps
  • 11. Online Graphing Calculator On this website students can enter equations and graph them to see how different equations can change the graph that comes from it. This can be very beneficial to seeing the different behaviors of the graphs. http://www.meta-calculator.com/online/
  • 12. Worksheets to practice The following website links have worksheets for practice for the students http://www.kutasoftware.com/FreeWorkshee ts/Alg2Worksheets/Graphing%20Exponential %20Functions.pdf http://www.utdanacenter.org/mathtoolkit/do wnloads/lessons/alg2_exponential_ws1.pdf http://sites.tenafly.k12.nj.us/~jmoreng/Precal culus/P%7BE(x)%7DOld.pdf
  • 13. Subject Specific Resource This website gives a very in depth explanation and background of exponential functions. This could be used in a classroom by having the students do a little research before actually learning about the functions. It gives a very good overview and could have the students learn some on their own before the real lesson http://www.purplemath.com/modules/graphexp. htm
  • 14. Uses of Internet Similar to a previous website this one allows students to graph any function they want and see the behavior. This could be very helpful to realizing patterns in the way graphs look: http://www.walterzorn.de/en/grapher/grapher_e.htm It could also be very beneficial for students to see how it is applied in real life so a website that lists some of these could be interesting for them. This is one that I found that does it but there are a lot of possibilities: http://www.uiowa.edu/~examserv/mathmatters/tutori al_quiz/log_exp/realworldappsexponential.html
  • 15. Web 2.0 On Facebook there is a page where you can like exponential functions and it shows you other people who have. This gives you an opportunity to connect with other people who know about the topic: https://www.facebook.com/pages/Exponentialfunction/109582162394532 It can also be difficult to do some problems so there is a website that students could ask questions on and anyone can post helpful hints and solutions. This could connect people from all over the world on this one topic: http://mathhelpboards.com/pre-calculus21/help-exponential-function-word-problem3434.html
  • 16. Reliability of Sources Some of the sources used for this are much more reliable than others. Those that came college or other educational website I trust much more than those that didnt. Similarly those who anyone can post to can be tough because people do not always know as much about a subject as they believe they do. In the notes all of the URLs are listed.