This sample material is the first investigation of Lesson 1, "Function Models Revisited." In this investigation, students model and answer questions about contexts using linear, exponential, and power functions.
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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Four units in Course 4 extend student understanding of algebra and function concepts in preparation for post-secondary education. Students develop understanding of the fundamental concepts underlying calculus, of inverse functions, and of logarithmic functions and their use in modeling and analyzing problem situations. Students also extend their ability to use polynomial and rational functions to solve problems and to manipulate symbolic representations of exponential, logarithmic, and trigonometric functions.
A unit that develops understanding and skill in the use of standard spreadsheet operations while reviewing and extending many of the basic algebra topics from Courses 1-3 is included for students intending to pursue programs in social, management, and some of the health sciences or humanities.
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