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Wednesday, October 19, 2011

Graphs of Functions and Systems of Equations

Precalculus will be moving beyond their introduction to functions and function notation from Algebra II and into a in-depth development of transformations. We will be applying transformations (translations, reflections, dilations, etc.) to many of the parent functions included in the image above (we will save trigonometry for the Spring!). Understanding transformations is a crucial link between the algebraic form of a function and its graphical behavior. We will spend a considerable amount of time exploring this topic and working toward mastery. You all will continue to complete the lengthy linear programming problem set and for that reason I have a great deal of information to post--I will post the homework, reference materials, and a YouTube video that goes over the basics of linear programming from the previous week on linear programming as well as the upcoming information on transformations! Enjoy.

Text Examplars: Homework Reference Material Wolfram Demonstration
Oil Mallee Farming Optimization Problem

Upcoming Material for the next two weeks.

Text Examplars: Homework Reference Material

Videos on Transformations: 
Brightstorm Videos


Algebra 2 will be moving into systems of equations through the lens of coordinate geometry.  Below is a student work example of some of the resources I will be using and what we will be exploring.  The purpose is for students to have a concrete link between their algebraic worlds and geometric worlds as well as to ground the solving of systems in the graphical world and slowly move to more abstract manipulation.

Check out this 3D Lathe that will help you visualize the creation of 3D geometric figures from the two-dimensions of the coordinate plane.

                  (from the University of Houston)                           
Reference Material Reference Sheet 1 Reference Sheet 2

Brightstorm Videos:
These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you!

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