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Mathematics Archives

Math Archives: Visual Calculus: Rational Functions

For Students 9th - 10th Standards
An explanation of what comprises the domain of a rational function. The information is brief, but formulas and examples are given along with additional links.
Unit Plan
Texas Education Agency

Texas Gateway: Transformations of Square Root and Rational Functions

For Students 9th - 10th Standards
Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.
Activity
Texas Instruments

Texas Instruments: Graphing the Rational Function F(x)=1/x

For Teachers 9th - 10th Standards
This is designed for Algebra 2 students to help them develop an understanding of transformations, asymptotes, domain and range.
Activity
Other

Math notes.com: Rational Functions

For Students 9th - 10th
A quick look at graphing rational functions, with investigationa ideas for using a graphing calculator.
Unit Plan
Other

Rational Functions

For Students 10th - 12th Standards
An explanation of what the domain consists of in rational functions.
Handout
Wolfram Research

Wolfram Math World: Graphs

For Students 9th - 10th
MathWorld.com shows many types of discrete math graphs and provides links to related topics.
Activity
Interactive Mathematics

Interactive Mathematics: The Graph of a Function

For Students 9th - 10th Standards
Several examples are presented to demonstrate the process of graphing functions, including linear, quadratic, and rational functions.
Handout
University of Saskatchewan (Canada)

University of Saskatchewan: Graphing Rational Functions

For Students 9th - 10th Standards
Offers a straightforward introduction to graphing rational functions. Includes an example.
Primary
University of Saskatchewan (Canada)

University of Saskatchewan: Advanced Rational Function Problems

For Students 9th - 10th Standards
A set of more difficult exercises on rational functions, complete with solutions. Asks for students to find the asymptotes of the equations given and to sketch the function.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Moderate Rational Function Problems

For Students 9th - 10th Standards
A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..
Activity
Texas Instruments

Texas Instruments: Mc Dougal Littell Algebra 2: Graph Rational Functions

For Teachers 9th - 10th
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
Activity
University of Vienna (Austria)

Math Online: Functions

For Students 9th - 10th Standards
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Interactive
Curated OER

Graphs: Online Calculator

For Students 9th - 10th Standards
This resource presents an online calculator which allows you to graph rational functions. Requires Java plug-in.
Activity
Curated OER

Zona Land: Definition of a Rational Function

For Students 9th - 10th Standards
A thorough introduction to rational functions, covering domain, range, graphs, intercepts, and end behavior.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Graphing Rational Functions

For Students 9th - 10th Standards
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...
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Easy Rational Function Exercises

For Students 9th - 10th Standards
Provides a set of basic exercises on rational expressions, complete with solutions and hints for students.
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Horizontal and Vertical Asymptotes

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Find the horizontal and vertical asymptotes of rational functions.
Lesson Plan
Cuemath

Cuemath: Functions

For Students 9th - 10th Standards
In this mini-lesson, students will learn about the world of functions. They will explore topics such as how to represent a function, conditions for a function, how to solve a function, types of functions, and various graphs of functions....
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Common Graphs

For Students 9th - 10th Standards
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...
Unknown Type
University of Saskatchewan (Canada)

University of Saskatchewan: Algebra 2 Review

For Students 9th - 10th
A more advanced review of Algebra II concepts allows students to test their readiness for higher level math courses. Topics range from absolute value to rational expressions.
Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Applications of One Sided Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Computing the limit of a function by identifying one-sided limits
Handout
Purple Math

Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun

For Students 9th - 10th Standards
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.