Solving Problems Using Linear and Exponential Models (Algebra 1)
In this lesson set, students will develop their understanding of exponential functions by building and analyzing exponential functions, introduced in both real-world and mathematical contexts, and by comparing them with linear functions. They will then apply their understanding of linear and exponential functions as they solve problems presented using a variety of representations.
Through engaging in this lesson set, students will:
- examine the way that exponential functions grow and compare this to the growth of linear functions;
- build linear and exponential function rules from contexts and tables of values for both increasing and decreasing functions;
- graph linear and exponential functions and connect features of these graphs to the parameters in the function rules; and
- determine whether situations can be modeled by linear or exponential functions and identify distinguishing features of these situations.
Standards: F-LE.A.1, F-LE.A.1.A, F-LE.A.1.B, F-LE.A.1.C, F-LE.A.2, F-LE.B.5