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Worksheet
Curated OER

Algebra I: nth Root and Rational Exponents

For Students 8th - 11th
This algebra worksheet contains problems on converting between nth roots and rational exponents for numbers. It also includes problems on simplifying radicals having various indices and rational exponents. It does not include an answer...
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Lesson Plan
Curated OER

Rational Numbers in Lowest Terms

For Teachers 12th - Higher Ed
In this rational numbers worksheet, learners write equivalent forms of rational numbers, divide rational numbers, and express them in their lowest terms. This two-page worksheet contains five problems.
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Worksheet
Curated OER

Rational Exponents

For Students 8th - 9th
Simplify algebraic expressions involving rational exponents using this one page interactive instructional activity. It contains five multiple choice questions and is self checking.
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Unit Plan
Mathematics Vision Project

Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
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Lesson Plan
1
1
EngageNY

Adding and Subtracting Rational Expressions

For Students 10th - 12th Standards
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
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Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
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Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to...
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Lesson Plan
Virginia Department of Education

Rational Expressions

For Students 9th - 12th Standards
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
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Lesson Plan
Virginia Department of Education

Rational Equations

For Students 9th - 12th Standards
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they study steps to...
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Lesson Plan
EngageNY

Solving Rational Equations

For Students 10th - 12th Standards
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
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Activity
Education Development Center

Rational Exponents

For Teachers 8th - 10th Standards
It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...
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Activity
Education Development Center

Sum of Rational and Irrational is Irrational

For Teachers 8th - 9th Standards
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
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Lesson Plan
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
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Lesson Plan
1
1
Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
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Lesson Plan
EngageNY

The Structure of Rational Expressions

For Teachers 11th - 12th Standards
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
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Lesson Plan
EngageNY

Transforming Rational Functions

For Teachers 11th - 12th Standards
Move all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...
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Interactive
CK-12 Foundation

Addition and Subtraction of Rational Expressions: Strawberry Sherbet Punch

For Students 9th - 12th Standards
Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.
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Interactive
CK-12 Foundation

Multiplication of Rational Expressions

For Students 9th - 11th Standards
There's nothing irrational about this lesson. Explore the process of multiplying rational expressions through discovery. A well-designed lesson has learners factor and multiply rational expressions by dragging factors to the correct place. 
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Worksheet
Curated OER

Fractions and Rationals

For Students 5th - 8th
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
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Lesson Plan
Curated OER

Radical Expressions and Rational Numbers as Exponents

For Teachers 9th - 10th
In this radical expressions worksheet, young scholars 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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Interactive
CK-12 Foundation

Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
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Interactive
CK-12 Foundation

Horizontal and Vertical Asymptotes: Rational Functions

For Students 9th - 12th Standards
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
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Interactive
CK-12 Foundation

Simplifying Rational Expressions: Sliding Solver

For Students 9th - 11th Standards
Build a strong understanding of simplified rational expression with your classes. An interactive lesson helps scholars discover the equality between the original expression and the simplified expression. Questions help individuals focus...
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Interactive
CK-12 Foundation

Infinite Limit Type: Evaluating Limits of Rational Functions

For Students 11th - Higher Ed Standards
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...

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