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Graphing Logarithmic Functions Using Transformations

Graphing Logarithmic Functions Using Transformations. Presenter: Anthony Mussari School Name: S t. Joseph's Collegiate Institute District Name: Buffalo City Schools Guiding Teacher: Mr. Thomas Quagliana Time Frame: Two Days (Lecture and Assessment).

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Graphing Logarithmic Functions Using Transformations

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  1. Graphing Logarithmic Functions Using Transformations Presenter: Anthony Mussari School Name: St. Joseph's Collegiate Institute District Name: Buffalo City Schools Guiding Teacher: Mr. Thomas Quagliana Time Frame: Two Days (Lecture and Assessment)

  2. Grade level: Tenth and Eleventh (Boys Only) • Course Name: Algebra II & Trigonometry Honors • Student Total: Sixty-Five • General Ability: Accelerated / Advanced Placement

  3. The Standard… Standard: F-BF.3. Identify the effect on the graph of replacing f(x) by f(x) + k,k•f(x), f(k•x), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Mathematics NYS Common Core

  4. The Standard… Standard: F-BF.3. (Continued) Experiment and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. Mathematics NYS Common Core

  5. The Learner Will Be Able To… • Identify the effect on the graph of f(x) for specific values of k by replacing f(x) with • f(x) + k • k• f(x) • f(k•x) • f(x + k) • In addition find the value/s of k given the graph of f(x).

  6. Essential Question??? What will happen to the graphs of yi =f(x)when composed with a constant ki ? Handout WRKSHT

  7. Guiding Questions??? What are the characteristics of the parent function yi = f(x)? How does one read a graph? When is it appropriate to use transformations?

  8. Enduring Understanding!!! Graphing with transformations can generate images on a host of parent functions. Different images provide unique inferences.

  9. The Procedure!!! Illustrate to the learner, by way of guided notes and interactive lecture, of how to Identify the effect on the graphs of f(x) by replacing f(x) with f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k. Note Packet

  10. The Procedure!!! A take-home assignment will require the student to find and state the equation of a logarithmic function by identifying the effect on the graph by replacing f(x) with f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k. Take-Home WRKSHT

  11. The Procedure!!! The Logarithmic Rubric and Quiz # 3.8 will be used to formally asses and quantify each of the students’ understanding. Rubric and Quiz

  12. Student work, Developing.

  13. Student work, Proficient.

  14. Student work, Distinguished.

  15. Student work, The Data.

  16. Modification Table. * Heward, William L., Improving The Effectiveness Of Your Lectures.Retrieved from http://ada.osu.edu/resources/fastfacts/Guided-Notes-Fact-Sheet.pdf (08 May 2012).

  17. Reflection Table.

  18. Thank You!!! To my peer reviewers, Christopher, Shelly, Jessica, Mary, Karissa, Meghan, Sarah, and Dr. Arnold, You all provided may useful comments, both warm and cold, for which I would like to formally thank you for.

  19. This Presentation Has Been Brought To You By…. Anthony J. Mussari To contact via: Post: E-Mail: Phone: Anthony J. Mussari amussari@daemen.edu 716.380.6313 c/o Daemen College 4380 Main Street Amherst, NY 14226

  20. Fin

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