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 Exploring Equations This lesson from Illuminations has students study equivalence and systems of equations while identifying and using related functions. It includes an interactive applet that can be used in class. Discussion questions are also included to supplement the interactive material. The lesson is appropriate for grades 9-12 and should require one class period to complete. http://illuminations.nctm.org/Lesson.aspx?id=2707
 Differential Equations Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical... http://academicearth.org/mathematics/
 Light It Up This math lesson from Illuminations helps students understand rational functions. The material uses the real-world problem. Students will write rational functions that model problem situations and use rational functions to solve those problems. Questions for students are included. The lesson is intended for grades 9-12 and should require 2 class periods to complete. http://illuminations.nctm.org/Lesson.aspx?id=1968
 Domain Representations This lesson from Illuminations asks students to use graphs, tables, number lines, verbal descriptions, and symbols to represent the domain of various functions. The material allows students to examine and utilize connections between a function?s symbolic representation, a function?s graphical representation, and a function?s domain. The lesson is intended for grades 9-12 and should require 1 cla... http://illuminations.nctm.org/Lesson.aspx?id=2071
 Determining Functions Using Regression This unit from Illuminations focuses on collecting data and using technology to find functions to describe the data collected. Students will learn to use a calculator to find the curve of best fit for a set of data and demonstrate an understanding of how modifying parameters changes the graphs of functions by writing equations for those functions. The unit includes two lessons intended for grades... http://illuminations.nctm.org/Lesson.aspx?id=4144
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