Math Planet
Math Planet: Algebra 2: Basic Knowledge of Polynomial Functions
Polynomial functions are investigated through examples and a video lesson. [0:57]
Interactive Mathematics
Interactive Mathematics: The Graph of a Function
Several examples are presented to demonstrate the process of graphing functions, including linear, quadratic, and rational functions.
Analyze Math
Analyze Math: Simplify Rational Expressions
Learners explore the Pre-Calculus concept of rational expressions. The tutorial examines how to simplify rational expressions. The activity consists of examples and practice exercises with detailed solutions.
Curated OER
Graphs: Online Calculator
This resource presents an online calculator which allows you to graph rational functions. Requires Java plug-in.
Sophia Learning
Sophia: Slant Asymptotes: Lesson 2
This lesson explains how to determine the slant asymptotes of a given rational function. It is 2 of 10 in the series titled "Slant Asymptotes."
Sophia Learning
Sophia: Slant Asymptotes: Lesson 3
This lesson explains how to determine the slant asymptotes of a given rational function. It is 3 of 10 in the series titled "Slant Asymptotes."
Sophia Learning
Sophia: Slant Asymptotes: Lesson 5
This lesson explains how to determine the slant asymptotes of a given rational function. It is 5 of 10 in the series titled "Slant Asymptotes."
University of Saskatchewan (Canada)
University of Saskatchewan: Exponents and Exponential Functions
This site reviews the basic properties of exponents, and explains rational exponents and exponential functions, including those with base "e." Provides examples and lots of exercises.
Texas Instruments
Texas Instruments: Rational Expression Multiplication
This StudyCards set uses guided discovery concepts to develop ideas for functions operations, building from rational expression multiplication and division algorithms.
Windstream
Ojk's Precalculus Study Page: Rational Exponents
A basic introduction to rational exponents, beginning with the definition and working up to an application. Includes several examples.
University of Saskatchewan (Canada)
University of Saskatchewan: Algebra 2 Review
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.
Cuemath
Cuemath: Range in Algebra
Explore the world of range in Algebra in this mini-lesson. Provides a definition and examples that help with understanding how to find the range of a function and domain. Includes solved examples and interactive questions with answers.
Khan Academy
Khan Academy: Intro to Rational Expressions
This lesson will introduce you to rational expressions. You will learn how to determine when a rational expression is undefined and how to find its domain.
Khan Academy
Khan Academy: Reducing Rational Expressions to Lowest Terms
Learn what it means to reduce a rational expression to lowest terms, and how it's done!
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Procedimiento Para Analizar Una Funcion
Use this unit to learn and practice the general procedure for representing curves in the form y=f(x). It provides a more advanced look at polynomial and rational functions with interactive graphs.
Illustrative Mathematics
Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 2
In this task about canoeing, paddling speed, and current speed, students examine how long a trip would take at different speeds. They write a function equation, graph their equation, and explain their thinking. The primary purpose of the...
Math Notes and Math Tests
Pre Calculus Notes: Polynomial and Rational Functions [Pdf]
The resource discusses quadratic functions. Topics examined are parabolas, the vertex, the axis of symmetry, and standard form.
CK-12 Foundation
Ck 12: Algebra: Solving Rational Equations Using the Lcd
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving rational equations using the LCD of the denominators to eliminate them.
CK-12 Foundation
Ck 12: Analysis: Polynomial Function Limits
[Free Registration/Login may be required to access all resource tools.] Finding the limits of polynomial functions using theorems and operations on limits
PBS
Pbs Teachers: Building Boxes [Pdf]
By determining the dimensions necessary for building a box with the greatest volume, learners will explore the world of polynomial and rational expressions. Graphing calculators can be used for this activity.
CK-12 Foundation
Ck 12: Algebra: Inverse Variation Problems
[Free Registration/Login may be required to access all resource tools.] Graph rational functions involving division and find all their asymptotes.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
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.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem
This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you...
Science and Mathematics Initiative for Learning Enhancement (SMILE)
Smile: Real World Applications Work Problems
A lesson plan incorporating the use of real world work, rate, and time problems. Examples are provided and strategies for effective use of the lesson are included.
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