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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Simplifying Rational Expressions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson applies the laws of exponents to rational exponents.
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Lesson Plan
Khan Academy

Khan: Lsn 12: Exponential Functions, Equations, Expressions and Radicals

For Teachers 9th - 10th
Lesson 2 of 4 for Passport to Advanced Math. Students will build quadratic and exponential functions that model a given context; solve radical equations; work with rational expressions, including fractions with a variable in the...
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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.
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Unit Plan
Khan Academy

Khan Academy: Simplifying Rational Expressions

For Students 9th - 10th Standards
Have you learned the basics of rational expression simplification? Great! Now gain more experience with some trickier examples.
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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...
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Adding and Subtracting Rational Expressions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers adding and subtracting rational expressions when one of the denominators is the LCD. Students can look at guided notes and attempt practice problems.
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eBook
Math Planet

Math Planet: Algebra 2: Basic Knowledge of Polynomial Functions

For Students 9th - 10th Standards
Polynomial functions are investigated through examples and a video lesson. [0:57]
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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.
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Activity
Analyze Math

Analyze Math: Simplify Rational Expressions

For Students 9th - 10th Standards
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.
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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.
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PPT
Sophia Learning

Sophia: Slant Asymptotes: Lesson 2

For Students 9th - 10th Standards
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."
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Unit Plan
Sophia Learning

Sophia: Slant Asymptotes: Lesson 3

For Students 9th - 10th Standards
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."
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PPT
Sophia Learning

Sophia: Slant Asymptotes: Lesson 5

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

University of Saskatchewan: Exponents and Exponential Functions

For Students 9th - 10th Standards
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.
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Activity
Texas Instruments

Texas Instruments: Rational Expression Multiplication

For Teachers 9th - 10th Standards
This StudyCards set uses guided discovery concepts to develop ideas for functions operations, building from rational expression multiplication and division algorithms.
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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.
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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.
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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.
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Unit Plan
Khan Academy

Khan Academy: Intro to Rational Expressions

For Students 9th - 10th Standards
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.
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Unit Plan
Khan Academy

Khan Academy: Reducing Rational Expressions to Lowest Terms

For Students 9th - 10th Standards
Learn what it means to reduce a rational expression to lowest terms, and how it's done!
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Procedimiento Para Analizar Una Funcion

For Students 9th - 10th Standards
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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 2

For Teachers 9th - 10th Standards
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...
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Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Polynomial and Rational Functions [Pdf]

For Students 9th - 10th Standards
The resource discusses quadratic functions. Topics examined are parabolas, the vertex, the axis of symmetry, and standard form.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solving Rational Equations Using the Lcd

For Students 10th - 12th
[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.

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