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Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...
Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Lesson Plan
Willow Tree

Direct and Inverse Variations

For Students 7th - 10th Standards
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
Handout
Mt. San Antonio Collage

Exponential Growth and Decay

For Students 9th - 12th Standards
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.  
Lesson Plan
Virginia Department of Education

Radical Equations

For Students 9th - 12th Standards
Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve...
Lesson Plan
Virginia Department of Education

Equation Vocabulary

For Teachers 6th Standards
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
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.
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Richland Community College

Richland Community College: Rational Functions and Asymptotes

For Students 9th - 10th Standards
This site contains basic information on rational functions. Gives definition, how to find domain and roots, and how rational functions apply to asymptotes and holes in the graph.
Handout
Richland Community College

Richland Community College: Steps to Graphing Rational Functions

For Students 9th - 10th Standards
This site describes the steps to follow when graphing a rational function.
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Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Infinite Limits for Rational Functions

For Students 9th - 10th
This Northeast Parallel Architectures Center of Syracuse University site offers examples and instruction on infinite limits for rational functions.
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Wolfram Research

Wolfram Math World: Rational Function

For Students 9th - 10th Standards
This site provides formulas and definitions as well as related links to 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.
Handout
California State University

California State University: Domain and X Intercepts in Rational Functions

For Students 9th - 10th Standards
Description of the nature of the domain in rational functions.
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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...
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Other

Conejo Valley Unified School District: Rational Functions [Pdf]

For Students 9th - 10th Standards
Explains what rational functions are and their features. Describes transformations of rational functions, discontinuities for different types, and gives examples of how to solve problems involving discontinuities. Also discusses the...
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Free Math Help

Free Math Help: Adding and Subtracting Rational Functions

For Students 9th - 10th
Students learn how to add and subtract rational functions. The lesson consists of definitions, examples, and additional resources.
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Free Math Help

Free Math Help: Division of Rational Functions

For Students 9th - 10th
The discussion examines dividing rational functions. Learners explore the math concept through a definition and sample exercise.
Handout
Analyze Math

Analyze Math: Rational Expressions

For Students 9th - 10th Standards
Learners are introduced to the Pre-Calculus topic of rational expressions. The tutorial consists of a definition, examples, and finding the domain of rational expression. The activity includes practice exercises with detailed solutions.
Handout
Cuemath

Cuemath: Range in Algebra

For Students 9th - 10th Standards
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.
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.

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