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Lesson Plan
Curated OER

Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus high schoolers find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
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Worksheet
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Curated OER

Rational Functions

For Students Higher Ed
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page worksheet contains forty problems.  Answers are provided. 
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Lesson Plan
Curated OER

Building Boxes- Polynimial And Rational Functions

For Teachers 7th - 9th
Pupils 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 math...
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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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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
In this limit problems instructional activity, 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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Worksheet
Curated OER

Rational Functions and Conics

For Students 11th - Higher Ed
In this math worksheet, learners 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

Rational Functions

For Students 11th - 12th
In this Algebra II/Pre-calculus activity, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page activity 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 instructional activity, 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, pupils 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
In 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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Lesson Plan
Curated OER

Applications Of Rational Functions

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