Handout
CK-12 Foundation

Ck 12: Algebra: Graphs of Rational Functions Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to understand graphs of rational functions. Examples are included.
Handout
Cool Math

Coolmath: Review What Are Rational Functions?

For Students 10th - 12th Standards
One page reference sheet of a quick recall of rational functions.
Unit Plan
Paul Dawkins

Paul's Online Notes: Lamar University: Paul's Online Notes: Algebra: Rational Functions

For Students 9th - 10th
Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Rational Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Learn about the shapes and characteristics of graphs of rational functions. Students examine guided notes, review guided practice, watch instructional videos and...
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Khan Academy

Khan Academy: Algebra Ii: End Behavior of Rational Functions

For Students 9th - 10th Standards
Given a rational function, determine how it behaves as x approaches. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Website
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.
Handout
Purple Math

Purplemath: Graphing Rational Functions: Introduction

For Students 9th - 10th Standards
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then sketch in the graph. Once you get the swing of things, rational functions are actually fairly simple to graph. This resources provides...
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
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.
Activity
Other

Rational and Radical Functions

For Students 9th - 10th Standards
A look into the graphs of rational and radical functions.
Website
Purple Math

Purplemath: General Polynomials

For Students 9th - 10th Standards
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
Primary
Windstream

Ojk's Precalculus Study Page: Rational Exponents

For Students 9th - 10th Standards
A basic introduction to rational exponents, beginning with the definition and working up to an application. Includes several examples.
Lesson Plan
PBS

Pbs Teachers: Building Boxes [Pdf]

For Teachers 9th - 10th
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.
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.
Lesson Plan
Science and Mathematics Initiative for Learning Enhancement (SMILE)

Smile: Real World Applications Work Problems

For Teachers 9th - 10th
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.
Handout
University of Minnesota

University of Minnesota: Theories of Deviance

For Students 9th - 10th
A comprehensive look at different theories of social deviance and their variants. These include rational choice, structural functionalism, symbolic interactionism, and conflict theories.
Unit Plan
Khan Academy

Khan Academy: Nested Fractions

For Students 9th - 10th
Simplify rational expressions that contain rational expressions within their numerators or denominators. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
eBook
CK-12 Foundation

Ck 12: Interactive Algebra 2

For Students 9th - 10th
This Algebra 2 course has interactivity included in every lesson. Lessons include questions with immediate feedback to help you learn along the way, videos, lots of interactives (PLIX and Sims), and Adaptive Practice questions help you...

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