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Composition of Functions Mathematics 11 th -12 th Grade By Michael Alfano

Alfano, Michael Composition of Functions

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A PowerPoint presentation on composition of functions, including a variety of helpful websites teachers and students can use.

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  • 1. Composition of Functions Mathematics 11th-12th Grade By Michael Alfano

2. Technology Integration Rationale Composing functions can be difficult for many students to understand because the necessary steps and calculations are performed from right to left. When teaching such an obscure concept to students, technology can help tremendously. Teachers can use the many different web resources in this presentation to ensure students can both understand and effectively compose functions. 3. Internet Content The Internet is a great place to find helpful teaching resources. By effectively searching, one can find many different educational tools to aid in the teaching of a particular topic. The following three slides are examples of blogs, podcasts, and instructional videos that pertain to composition of functions. 4. Internet Blog Hands On Math is an Internet blog with the goal of creating a more hands-on, fun approach to learning math. The link above is a blog that teaches composition of functions using an example involving almonds. 5. Podcast Polynomial Operations by The Math Dude is a video podcast found for free on iTunes. It covers addition, subtraction, and multiplication of polynomials. Click above to view the podcast. 6. Instructional Video 1 Below is a link to a YouTube video about composition of functions. The information in this video is great for those learning composition of functions for the first time. YouTube Video 7. Instructional Video 2 Below is a link to a Kahn Academy video about composition of functions. The information in this video is very well explained, but at a higher difficulty level than the previous video. Kahn Academy Video 8. Internet Resources The Internet is full of great educational resources for teachers and students. There are many organizations and government agencies that are dedicated to helping people learn. The following three slides are organizations that teachers and students can use to improve their educational experience. 9. Regents Prep Regents Prep is a nonprofit New York based organization that offers free help to students in all areas of high school mathematics. Although the courses and topics are geared towards preparing for New York State Regents exams, the website can be used by anyone to review almost any high school math topic. 10. Algebra Lab Algebra Lab is an organization created in Florida by a group of math teachers and computer programmers. The website offers tons of lessons and activities covering a wide variety of math topics. 11. Khan Academy Khan Academy is a nonprofit organization that offers an extremely wide variety of instructional videos, practice problems, and interactive challenges for free to all users. The website is great for both students and teachers. 12. Inspiration Diagram 24 55133 41 2Diagram created using Inspiration 13. Edhelper 14. SMART Software 15. Teach-nology 16. Theres an app for that! Math Ref is a reference app that includes over 1,400 formulas, figures, tips, examples, and concepts. Google Play Store Link App Store Link 17. Subject Specific Resource Math Goodies This site offers helpful materials for both teachers and students. Students can search by class, then topic. Teachers can find lesson plans, worksheets, and learning games. 18. Uses of the Internet WCC Online Math Center This site offers frequently asked math questions, helpful pdf documents, and links to other great math sites. A Plus Math This site offers interactive flash cards that students and teachers can use. The user can choose whether they want to include or exclude addition, subtraction, multiplication, or division of binomials. 19. Web 2.0 Facebook Facebook can be an extremely helpful resource for teachers and students. Teachers can make a class page where they can collaborate with students. YouTube YouTube is an excellent resource for students and teachers. With thousands of math video tutorials, teachers and students can find just about anything theyre looking for.