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Lesson Plan
1
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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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AP Test Prep13:27
1
1
Flipped Math

Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes

For Students 10th - 12th
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
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Assessment
Mathematics Assessment Project

Sorting Functions

For Students 9th - 11th Standards
There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.
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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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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...
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Worksheet
Curated OER

Rational Functions

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

Radical Expressions and Rational Numbers as Exponents

For Teachers 9th - 10th
In this radical expressions worksheet, students find the function value of given functions. They identify the domain of functions. Students write functions without fractional exponents. This three-page worksheet contains 55 problems.
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 10th - 11th
In this algebra worksheet, students simplify rational expressions using common denominators. There are 50 questions requiring factoring and grouping, with an answer key.
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Worksheet
Curated OER

Rational Equations

For Students Higher Ed
In this college level mathematics worksheet, students solve rational equations and identify the extraneous solutions.  The two page worksheet contains fifty-eight problems.  Answers are included. 
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Worksheet
1
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Key Curriculum Press

Applications of Exponential Functions

For Students 10th - 12th Standards
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would...
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Worksheet
Shmoop

Functions Worksheet 6

For Students 9th - 12th Standards
Instead of the typical function application problems, learners think a little deeper through these ten problems. Multiple types of functions are represented and the questions add a variety of thinking to practice their skills. 
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
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Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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Lesson Plan
Curated OER

Worksheet 8: Functions and Falling Bodies

For Teachers 12th - Higher Ed
In this math worksheet, students answer 6 questions having to do with continuous and differentiable functions, falling bodies, and derivatives.
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Assessment
Mt. San Antonio Collage

Test 1: Graphing Functions

For Students 9th - 12th Standards
Graph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
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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
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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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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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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Lesson Plan
1
1
EngageNY

Equivalent Rational Expressions

For Students 10th - 12th Standards
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
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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
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This lesson examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs when...
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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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Activity
Education Development Center

Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...

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