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Graphing Exponential Functions
Integrating technology into the 10th
grade classroom
By: Shawn McClory
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.
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
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
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
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
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
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
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
Inspiration
 Step by Step guide of how to graph after a
lesson in case a student forgets the order of
the steps
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/
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
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
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
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
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.

More Related Content

Mc clory, shawn graphing exponential functions

  • 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.

Editor's Notes

  • #11: This makes it simpler to see the step by step process in order to graph the equation. It builds on itself and could be used to show students the steps as we progress through. It enhances understanding because it is easy to follow and is simpler than reading a paragraph explaining the steps.
  • #17: https://www.facebook.com/pages/Exponential-function/109582162394532http://mathhelpboards.com/pre-calculus-21/help-exponential-function-word-problem-3434.htmlhttp://www.walterzorn.de/en/grapher/grapher_e.htmhttp://www.uiowa.edu/~examserv/mathmatters/tutorial_quiz/log_exp/realworldappsexponential.htmlhttp://www.purplemath.com/modules/graphexp.htmhttp://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Graphing%20Exponential%20Functions.pdfhttp://www.utdanacenter.org/mathtoolkit/downloads/lessons/alg2_exponential_ws1.pdfhttp://sites.tenafly.k12.nj.us/~jmoreng/Precalculus/P%7BE(x)%7DOld.pdfhttp://www.meta-calculator.com/online/http://www.ct.gov/doag/cwp/view.asp?a=1367&q=259104https://www.avma.org/KB/Policies/Pages/Dog-And-Cat-Population-Control.aspxhttp://www.youtube.com/watch?v=ls78_2UBcdYhttp://www.csa.com/discoveryguides/ern/01mar/overview.phphttp://blog.thinkwell.com/2011/03/graphing-exponential-functions-useful-patterns.htmlhttps://www.khanacademy.org/math/algebra/algebra-functions/graphing_functions/v/graphing-exponential-functions