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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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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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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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Lesson Plan
1
1
EngageNY

Comparing Rational Expressions

For Students 10th - 12th Standards
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result. 
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Worksheet
2
2
Flipped Math

Unit 7 Review: Exponential Functions

For Students 9th - 12th Standards
Take a break from learning new information and take time to review. Scholars review the unit by completing some practice problems. They rewrite expressions using exponents, solve exponential equations, graph exponential functions,...
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Unit Plan
Radford University

Function Family Fun

For Teachers 9th - 12th Standards
It's time for a family reunion—function families, that is. Pupils first review different types of parent functions. They then see how to apply transformations to graphs and learn how to select the most appropriate type of function to...
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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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Lesson Plan
Mathematics Assessment Project

Representing Functions of Everyday Situations

For Teachers 10th - 12th Standards
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
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Activity
PBL Pathways

Doctors and Nurses

For Students 11th - Higher Ed Standards
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
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Worksheet
Curated OER

Graphing a Rational Function

For Students 10th - 12th
In this graphing rational functions worksheet, students find the domain, asymptotes, intercepts and graph a given rational function.  A grid for the graph is provided.
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Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
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Assessment
Inside Mathematics

Graphs (2006)

For Teachers 9th - 12th Standards
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a activity that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
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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....
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Unit Plan
Curated OER

Linear and Exponential Functions

For Teachers 8th - 11th Standards
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Activity
PBL Pathways

Cell Phones

For Teachers 10th - Higher Ed Standards
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
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Assessment
Mt. San Antonio Collage

Quiz 1: Functions, Domain and Range

For Students 9th - 12th Standards
Take the work out of worksheets and use these problems and worked-out answer key as a resource. The problems reinforce skills in domain and range, identifying graphs, and even and odd functions.
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Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
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Unit Plan
Mathematics Vision Project

Module 2: Linear and Exponential Functions

For Students 8th - 10th Standards
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
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Assessment
1
1
Balanced Assessment

Getting Closer

For Students 11th - 12th Standards
Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...
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Unit Plan
Mathematics Vision Project

Module 8: Modeling With Functions

For Students 10th - 12th Standards
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
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Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
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Assessment
Concord Consortium

Symbolic Similarity

For Students 9th - 11th Standards
How many things does one transformation tell you? Learners compare and contrast the graphs of different parent functions with the same transformation. Using a rational and absolute value function, pupils identify key features of their...