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Lesson Plan
Curated OER

Rational Functions

For Teachers 9th - 12th Standards
Through a mini assessment, students identify and list the vertical and horizontal asymptotes for the given rational functions and determine the type of asymptote of a given rational function. They also decide which form of a function...
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Lesson Plan
Curated OER

Building Boxes- Polynimial And Rational Functions

For Teachers 7th - 9th
Students investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how the...
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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Worksheet
Curated OER

Senior Analysis: Graphing Rational Functions

For Students 10th - 12th
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.
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Lesson Plan
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Worksheet
Curated OER

Graphing Rational Functions

For Students 11th
In this Algebra II worksheet, 11th graders graph rational functions and use the graph to solve real-life problems. The four page worksheet contains forty-one problems. Answers are not provided.
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Worksheet
Curated OER

Sudoku Puzzle with Limits

For Students 11th - 12th
For this limit problems worksheet, students solve 28 limits problems.  Students find the limits of various functions as x approaches a certain number.  Students solve a sudoku puzzle with their answers.
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Lesson Plan
Curated OER

Asymptotes And Zeros of Rational Functions

For Teachers 9th - 12th Standards
Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...
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Lesson Plan
Curated OER

Graphing Rational Functions

For Teachers 9th - Higher Ed Standards
Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...
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Worksheet
Curated OER

Rational Functions and Conics

For Students 11th - Higher Ed
In this math worksheet, students practice the calculation of rational functions and conics. This worksheet has 6 problems for the students to solve.
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Worksheet
Curated OER

Horizontal Asymptotes: M=N, M>N

For Students 9th - 12th
In this algebra worksheet, students calculate the horizontal asymptote for rational functions, whose leading exponents follow the rules: M = N or M > N. There are 4 questions.
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Worksheet
Curated OER

Rational Functions

For Students 11th - 12th
In this Algebra II/Pre-calculus learning exercise, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page learning exercise contains nine problems. Answers are not provided.
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Worksheet
Curated OER

Rational Functions and Their Graphs

For Students 11th
In this Algebra II instructional activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page instructional activity contains...
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Lesson Plan
Curated OER

Rational Functions

For Teachers 9th - 11th
Students evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.
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Worksheet
Curated OER

Twenty Rational Function Problems

For Students 10th - 12th
In this rational functions worksheet, students find asymptotes, perform operations, simplify, and solve in twenty rational functions.
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Lesson Plan
Curated OER

Rational Functions

For Teachers 10th - 12th
In this algebra worksheet, young scholars solve rational functions and identify the x and y intercepts, the vertical and horizontal asymptotes. There are 26 questions.
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Worksheet
Curated OER

Math Worksheet: Graphs of Rations Functions (2)

For Students 11th
In this Algebra II worksheet, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function.  The two page worksheet contains five problems that relate to the one...
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Worksheet
Curated OER

The Functional Notation Problem

For Students 9th - 12th
For this composite functions worksheet, students solve 1 composite functions problem by finding f(2x) in terms of f(x).  Students use a rational function when finding f(2x).
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Worksheet
Curated OER

Graphing Rational Functions

For Students 9th - 10th
In this rational function worksheet, students identify the vertical and horizontal asymptote for each rational function. They graph rational functions. This one-page worksheet contains five problems.
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Lesson Plan
Curated OER

Worksheet 9, Rational Functions

For Teachers 9th - 10th
In this algebra worksheet, learners tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
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Lesson Plan
Curated OER

Applications Of Rational Functions

For Teachers 9th - 12th
Students engage in a lesson plan that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson plan for the purpose of practice during guided instruction....