Exponential and Logarithmic Functions
In this module, students synthesize and generalize what they have learned about a variety of function families. They extend the domain of exponential functions to the entire real line (N-RN.A.1) and then extend their work with these functions to include solving exponential equations with logarithms (F-LE.A.4). They explore (with appropriate tools) the effects of transformations on graphs of exponential and logarithmic functions. They notice that the transformations on a graph of a logarithmic function relate to the logarithmic properties (F-BF.B.3). Students identify appropriate types of functions to model a situation. They adjust parameters to improve the model, and they compare models by analyzing appropriateness of fit and making judgments about the domain over which a model is a good fit. The description of modeling as, “the process of choosing and using mathematics and statistics to analyze empirical situations, to understand them better, and to make decisions,” is at the heart of this module. In particular, through repeated opportunities in working through the modeling cycle (see page 61 of the CCLS), students acquire the insight that the same mathematical or statistical structure can sometimes model seemingly different situations.
The student materials consist of the student pages for each lesson in Module 3.
The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials.
Water Tank Demo Video for Lesson 6
The following are links to the instructional video used in lesson 6:
This video can also be downloaded from the "Downloadable Resources" section on the Algebra II Module 3 Lesson 6 page.