PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
PBL Pathways
Cell Phones
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Curated OER
Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
Curated OER
Summer Intern
Your young apprentices build a function describing the percent concentration of salt in a brine. The rational function is then related to the parent function, y= 1/x, and graphed. Finally, the apprentices predict the amount of fresh...
Cool Math
Coolmath: Graphing Rational Functions Putting It All Together
A tutorial reviewing graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions X and Y Intercepts
Find out how to find the x and y-intercepts when graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Vertical Asymptotes
This Precalculus review (Calculus preview) lesson explains how to find the vertical asymptotes when graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Horizontal and Slant (Oblique) Asymptotes
This algebra lesson explains how to find horizontal and slant (oblique) asymptotes when graphing rational functions.
Texas Instruments
Texas Instruments: Graphing Rational Functions
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Graphing Rational Functions
Fourteen problems present a variety of practice graphing rational functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Rational Functions
Eighteen problems present a variety of problems working with various aspects of rational functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Cool Math
Coolmath: Graphing Rational Functions Increasing and Decreasing Revisited
Wrap up tutorials on graphing increasing and decreasing functions.
Texas Instruments
Texas Instruments: Mc Dougal Littell Algebra 2: Graph Rational Functions
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
University of Saskatchewan (Canada)
University of Saskatchewan: Moderate Rational Function Problems
A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..
Other
Math notes.com: Rational Functions
A quick look at graphing rational functions, with investigationa ideas for using a graphing calculator.
University of Saskatchewan (Canada)
University of Saskatchewan: Easy Rational Function Exercises
Provides a set of basic exercises on rational expressions, complete with solutions and hints for students.
Analyze Math
Analyze Math: Rational Functions (1)
Students explore the properties and graphs of rational functions. The tutorial examines the equations of rational functions, intercepts, vertical asymptote, and horizontal asymptotes. The activity consists of examples with detailed...
University of Vienna (Austria)
Math Online: Functions
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Curated OER
Zona Land: Definition of a Rational Function
A thorough introduction to rational functions, covering domain, range, graphs, intercepts, and end behavior.
Paul Dawkins
Paul's Online Notes: Algebra: Common Graphs
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...