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Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 3 [Pdf]
The practice problem investigates the decomposition of a rational function. The graphs of the rational function and each term of its decomposition are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 4 [Pdf]
The practice problem investigates the decomposition of a rational function. The graphs of the rational function and each term of its decomposition are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 7 [Pdf]
Students identify any vertical asymptotes of a rational function and the terms of the partial fraction decomposition. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 8 [Pdf]
Students identify any vertical asymptotes of a rational function and the terms of the partial fraction decomposition. The graph is available in PDF format.
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.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 5 [Pdf]
The exercise examines partial fraction decomposition of a rational function. Students determine any vertical asymptotes of the rational function and the terms of the decomposition. The rational function graph is available in PDF format.
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...
PBS
Pbs Teachers: Building Boxes [Pdf]
By determining the dimensions necessary for building a box with the greatest volume, students will explore the world of polynomial and rational expressions. Graphing calculators can be used for this activity.
CK-12 Foundation
Ck 12: Analysis: Applications of One Sided Limits
[Free Registration/Login may be required to access all resource tools.] Computing the limit of a function by identifying one-sided limits
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
CK-12 Foundation
Ck 12: Algebra: Fractional Exponents
[Free Registration/Login may be required to access all resource tools.] This lesson introduces rational exponents and how to relate them to nth roots.
Curated OER
Oregon State University: Rational Functions
A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Curated OER
Zona Land
Site explains asymptotes well using reciprocal function as example. Points out weaknesses that technology has when graphs are close to asymptotes.
CK-12 Foundation
Ck 12: Algebra: Solving Equations With Fractional Exponents
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving equations where the variable has a rational exponent.
CK-12 Foundation
Ck 12: Algebra: Horizontal and Vertical Asymptotes
[Free Registration/Login may be required to access all resource tools.] Identifying and understanding asymptotes of rational functions
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Lawrence Hall of Science
The Math Page: Topics in Precalculus
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
University of Saskatchewan (Canada)
University of Saskatchewan: Triangles
This site from the University of Saskatchewan provides an explanation of similar triangles, the Pythagorean theorem, and the distance between arbitrary points in a plane. Example problems for each of these concepts are provided.
Texas Instruments
Texas Instruments: Limits Vertical and Horizontal Asymptotes
This activity explores graphically, numerically and symbolically the vertical and horizontal asymptotes of a rational function through the limit taking capability of the graphing calculator.
Other
Algebra.com: Homework Solvers
This site offers both instruction and homework help in several algebraic topics, including topics within Pre-Algebra, Algebra I, and Algebra II.
CK-12 Foundation
Ck 12: Algebra: Irrational Numbers and Radicals Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review irrational numbers and radicals. Examples are included.
CK-12 Foundation
Ck 12: Precalculus Concepts 2.0
A complete high school Precalculus Concepts course. Includes 'Related Modalities' for each lesson that teach the same concept in different ways. The text materials follows Algebra II and comes before Calculus or Statistics. The content...