Name 
Description 
Compounding with a 100% Interest Rate  This task provides an approximation, and definition, of e, in the context of more and more frequent compounding of interest in a bank account. The approach is computational. 
A Sum of Functions  In this example, students are given the graph of two functions and are asked to sketch the graph of the function that is their sum. The intent is that students develop a conceptual understanding of function addition. 
Graphs of Compositions  This task addresses an important issue about inverse functions. In this case the function f is the inverse of the function g but g is not the inverse of f unless the domain of f is restricted. 
Crude Oil and Gas Mileage  This task asks students to write expressions for various problems involving distance per units of volume. 
Flu on Campus  The context of this example is the spread of a flu virus on campus and the related sale of tissue boxes sold. Students interpret the composite function and determine values simply by using the tables of values. 
Compounding with a 5% Interest Rate  This task develops reasoning behind the general formula for balances under continuously compounded interest. While this task itself specifically address the standard (FBF), building functions from a context, an auxiliary purpose is to introduce and motivate the number e, which plays a significant role in the (FLE) domain of tasks. 
Temperature Conversions  Unit conversion problems provide a rich source of examples both for composition of functions (when several successive conversions are required) and inverses (units can always be converted in either of two directions). 
Susita's Account  This task asks students to determine a recursive process from a context. Students who study computer programming will make regular use of recursive processes. 
Summer Intern  This task asks students to use proportions of mass and volume to create ideal brine for saltwater fish tanks. It also asks students to compare graphs. 
Skeleton Tower  This problem is a quadratic function example. The other tasks in this set illustrate MAFS.912.F.BF.1.1.a in the context of linear, exponential, and rational functions. 
Lake Algae  The purpose of this task is to introduce students to exponential growth. While the context presents a classic example of exponential growth, it approaches it from a nonstandard point of view. 
The Canoe Trip, Variation 2  The primary purpose of this task is to lead students to a numerical and graphical understanding of the behavior of a rational function near a vertical asymptote, in terms of the expression defining the function. 
The Canoe Trip, Variation 1  The purpose of this task is to give students practice constructing functions that represent a quantity of interest in a context, and then interpreting features of the function in the light of the context. It can be used as either an assessment or a teaching task. 
Drip, Drop, Drip, Drop  Students design an experiment to model a leaky faucet and determine the amount of water wasted due to the leak. Using the data they gather in a table, students graph and write an equation for a line of best fit. Students then use their derived equation to make predictions about the amount of water that would be wasted from one leak over a long period of time or the amount wasted by several leaks during a specific time period.
