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Lesson Plan
Curated OER

Finding Equivalent Forms For Positive Rational Numbers

For Teachers 8th - 10th
Learners discuss the relationship between and the equivalent forms of rational numbers. They will convert numbers from decimals to fractions, understanding they are equivalent, but just different forms.
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Worksheet
Curated OER

Twelve Rationalize Denominators Containing Radicals

For Students 10th - 11th
In this rationalizing the denominator worksheet, students rationalize the denominator in twelve problems where the denominator contains a radical.  The solutions are provided.
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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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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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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
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 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
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EngageNY

Equations Involving a Variable Expression in the Denominator

For Students 9th - 10th Standards
0/0 doesn't equal 0! Begin this lesson plan by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
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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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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

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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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 9th
In this rational expressions worksheet, 9th graders identify and solve 20 different problems that include simplifying various types of rational expressions. First, they define and describe a rational expression and how to find its...
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Worksheet
Curated OER

Addition and Subtraction of Rational Expressions

For Students 9th - 11th
In this rational expression worksheet, students add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This two-page...
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 10th - 11th
In this rational expression worksheet, learners simplify rational expressions. Explanations and examples are provided. This two-page worksheet contains 20 problems, with answers listed at the end of the document.
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Worksheet
Curated OER

Addition and Subtraction of Rational Expressions

For Students 9th
In this rational expressions worksheet, 9th graders solve and complete 15 different problems that include adding and subtracting rational expressions. First, they define Least Common Multiple to get a common denominator in an equation....
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Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 7th - 9th
In this adding and subtracting rational expressions worksheet, students solve 22 problems with complex denominators. Eight problems have common denominators, for the other 14, students must first multiply to find the common denominator.
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 10th - 11th
In this rational expression worksheet, learners simplify the expression. They remove common factors in the numerator and denominator. This one-page worksheet contains ten problems. Answers are provided at the bottom of the page.
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Worksheet
Curated OER

Multiplication and Division of Rational Expressions

For Students 9th
In this rational expressions worksheet, 9th graders identify and solve 15 different problems that include multiplying and dividing various rational expressions. First, they multiply or divide each pair of rational expressions. Then,...
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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

Math B Regents Questions by Performance Indicator: Rational Numbers

For Students 9th - 11th
In this rational number learning exercise, students add and subtract quantities containing radical expressions.  They identify equivalent expressions.  This three-page learning exercise contains 15 multiple-choice problems.  Answers are...
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Worksheet
Curated OER

Solving Rational Equations

For Students 11th
In this algebra worksheet, 11th graders solve rational expressions, by combining the denominators and making them common. They solve word problems using algebra. There are 10 questions with an answer key.
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Worksheet
Curated OER

Solving Rational Equations

For Students 9th - 11th
For this rational equations worksheet, students identify the least common multiple and solve rational equations. This two-page worksheet contains 18 problems.
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Worksheet
Curated OER

LCD of Expressions

For Students 11th
In this algebra worksheet, 11th graders solve rational expression by converting the denominators to the same unit using the least common denominator and multiplication. There are 13 problems.
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Lesson Plan
Curated OER

Addition and Subtraction of Rational Expressions

For Teachers 8th - 11th
In this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.