This section introduces the constant as a value often used as a base for exponential functions exhibiting continuous growth. First, they look for a connection between and the expression . Then, students look at contexts comparing continuous growth rates to discrete growth rates before turning to the natural logarithm as a way to solve equations stemming from these contexts.

In this section, students are introduced to logarithms by first recognizing a need to find a way to get a value for an unknown exponent, then examining the structure of a log table to find the connection between exponents and the values in the table. Logarithms are first introduced using base 10 because they are commonly used and seeing the...

In this section, students revisit geometric sequences and growth and decay by a fixed percentage to begin thinking about exponential functions. Then students make mathematical and contextual sense of different types of rational inputs, such as negative values or values between integers.

Students recognize that exponential functions grow or decay by the same multiple, , over intervals of equal length,...

In this section, students use graphs to better understand logarithmic functions. They use graphs to approximate solutions to exponential and logarithmic equations and then interpret those solutions in context. They also compare the graphs of logarithmic functions that have different bases.