ResourceMAP - Exponential Functions - Teacher Edition

ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module's underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters.

Exponential Functions

Exponential functions are used in situations involving growth (or decay) at a
constant rate. Common examples are growth of a savings account, growth of a
population, depreciation, and radioactive decay. Simple exponential functions have
the form y = a(b^x), where a and b are constants.

I. Purpose
• To identify real-world situations in which exponential functions are
appropriate models (i.e., growth or decay situations)
• To use exponential functions to solve real-world problems

II. Mathematical Focus
• Exponential growth, decay
• Exponential functions

III. Tip Sheets
Two Tip Sheets accompany this module.
• Repeated multiplication on a calculator
• Finding an exponential function