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....
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...
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...
Texas Instruments
Texas Instruments: Video Tutorial Learn How to Evaluate Composite Functions
In this video, you will see how to evaluate composite functions both numerically on the home screen and through the graph screen.
Help Algebra
Help algebra.com: How to Find Compositions of Functions
Learn how to notate and evaluate composite functions with this article. The examples are detailed and provide steps for finding the composition of two functions.
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.
Texas Instruments
Texas Instruments: Two Functions or Not Two Functions:
Students create original artwork using all functions and conics studied throughout the course. Lines and absolute values, conic sections and whatever else they can stick in a y= are combined with some calculator tricks to make works of...
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...
Interactive Mathematics
Interactive Mathematics: Powers of a Function
The Chain Rule is presented with a detailed example. It is followed by a demonstration of how the Chain Rule is applied to power functions.
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.
Texas Instruments
Texas Instruments: Numb3 Rs: Perfect Out Shuffles
Based off of the hit television show NUMB3RS, this activity give students a real-life context in which to use both compositions of functions and piecewise functions. The lesson is framed in the context of shuffling cards in such a way so...
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...
Texas Instruments
Texas Instruments: Computing Derivatives
Sample problems that provide ideas about using SMG to assist students in learning to solve derivative problems. Prerequisites: ability to classify functions as power, exponential, product, and composition and how to decompose composite...
Math Medics
S.o.s. Math: The Chain Rule
Finding derivatives by using the chain rule is explained through examples in this tutorial.
Texas Instruments
Texas Instruments: Algebra Ii and the Ti 83+
This session will examine how the TI-83+ can be used to improve instruction in Algebra II classes. We will look at different objectives from the Algebra II curriculum and examine several ways that calculators can improve student...
Other
Karl's Calculus Tutor: The Chain Rule
This site provides a detailed overview of the chain rule. Content includes several examples, applications, and exercises.