101 Questions
Coffee Traveler
Investigate the volume of irregular figures in an inquiry-based exercise. Presented with an irregularly shaped box filled with water, learners must predict the level of water when it is tipped on its side. The class can divide...
Curated OER
Temperature Conversions
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
Illustrative Mathematics
Graphs of Compositions
It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....
Illustrative Mathematics
Flu on Campus
An outbreak of the swine flu on a school campus has caused an increase in the number of boxes of tissues sold by the school store. In a real-world-modeling activity, pupils use composition of functions to determine how the number of...
Analyze Math
Analyze Math: Tutorial on Compostion of Functions
This site offers a tutorial on compostion of functions. The tutorial works through several example problems to clarify the process.
Interactive Mathematics
Interactive Mathematics: Functions and Graphs
The system created by Rene Descartes (1596-1650 CE) is explored in depth, covering topics such as definitions, notation, evaluating, domain and range, graphing and more. Interactive examples and demonstrations are enhanced using Live...
Mathematics Archives
Math Archives: Composition of Functions
Site offers a detailed explanation of the compostion of functions
Lawrence Hall of Science
The Math Page: An Approach to Calculus: The Chain Rule
Here is a site that clearly and thoroughly explains the chain rule for derivatives of composite functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Composite Functions
Dr. Math explains a common mistake made by students with compostion of functions. Dr. Math goes through an example problem of function composition with a short explanation.
University of Saskatchewan (Canada)
University of Saskatchewan: Composition of Functions
This unique site allows one to enter two functions from a list of options, graphs both functions and their composition, then allows the user to trace any of the three via the java applet.
Math Medics
S.o.s. Math: The Chain Rule
Finding derivatives by using the chain rule is explained through examples in this tutorial.