The sample material from Unit 3 is comprised of the first two investigations of Lesson 3, "Linearizing Data." In the first investigation, students examine a transformation of the y-values that does not linearize the data and then examine some transformations of y-values that do linearize the data. In the second investigation, students review the idea of least squares regression and learn that the exponential regression function on the calculator does not produce the exponential function that is the best fit using the criterion of minimizing the sum of the squared residuals.
Throughout the curriculum, interesting problem contexts serve as the foundation for instruction. As lessons unfold around these problem situations, classroom instruction tends to follow a common pattern as elaborated under Instructional Design.
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In Course 4, Units 5 and 6, students intending to pursue college majors in the mathematical, physical, and biological sciences or engineering extend their ability to use polynomial and rational functions to solve problems and extend their ability to manipulate symbolic representations of exponential, natural logarithmic, and trigonometric functions.
Students intending to pursue college programs in social, management, and some of the heath sciences or humanities will continue their study of statistics and probability by studying Unit 5, Binomial Distributions and Statistical Inference, and Unit 10, Problem Solving, Algorithms, and Spreadsheets.
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