CK-12 Foundation
Horizontal and Vertical Asymptotes: Rational Functions
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...
CK-12 Foundation
Simplifying Rational Expressions: Sliding Solver
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...
CK-12 Foundation
Infinite Limit Type: Evaluating Limits of Rational Functions
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...
EngageNY
The Distance Between Two Rational Numbers
There has to be a better way than counting. Pupils find the distance on a number line between rational numbers by counting the number of intervals. Through a discussion, the class sees the connection between absolute value and the...
EngageNY
Investments—Performing Operations with Rational Numbers
Partners fill out a register to record transactions on a college investment account. They use the amounts listed to calculate the running and current balance of the account, providing experience in adding and subtracting rational numbers.
EngageNY
Understanding Subtraction of Integers and Other Rational Numbers
Subtraction is all about opposites, and the fifth activity in a series of 25 introduces the concept of subtracting integers. Pupils connect subtracting with discarding a card in the integer game. They develop the rule for subtracting...
Curated OER
Is Bigger Always Better?
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
Curated OER
The Rational Number System
In this rational number system worksheet, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page worksheet contains approximately 10 problems. Answers are...
Curated OER
Simplifying Rational Expressions
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...
Curated OER
Rationals
In this rational numbers worksheet, 9th graders solve 14 various types of problems relating to rational numbers that include simplifying each equation and reducing to lowest terms to using the order of operations to simplify equations....
Curated OER
Rational Functions
For this rational functions worksheet, students identify rational functions. They find the domain and range of each function. Students find the x and y-intercepts of functions. This two-page worksheet contains 35...
Curated OER
Multiplying and Dividing Rational Expressions
In this college level worksheet, learners multiply and divided rational expressions and simplify the answers. The two page worksheet contains sixty-two problems. Answers are provided.
Curated OER
Simplifying Rational Expressions
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.
Curated OER
Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions worksheet, high schoolers answer 18 multiple choice problems about rational functions. Students determine values for a which a function is undefined given the equation of the function.
Curated OER
Multiplication and Division of Rational Expressions
In this rational expressions activity, 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,...
Curated OER
Solving Rational Equations
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.
Curated OER
Multiplication and Division of Rational Expressions
In this rational expressions worksheet, learners solve and complete 20 different problems that include multiplying and dividing rational expressions. First, they multiply or divide to simplify each result. Then, students factor the...
Curated OER
Addition and Subtraction of Rational Expressions
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...
Curated OER
Solving Rational Equations
In this rational equations worksheet, learners solve rational equations. They find the least common multiple for given complex fractions. This two-page worksheet contains 18 problems. An example is provided at the beginning of the...
Curated OER
Solving Rational Equations
In this rational equations worksheet, students identify the least common multiple and solve rational equations. This two-page worksheet contains 18 problems.
Curated OER
Addition and Subtraction of Rational Expressions
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....
Curated OER
Rational Numbers
In this rational numbers worksheet, 9th graders solve and complete 16 different problems that include adding and subtracting various rational numbers. First, they determine the sum or difference for each equation. Then, students evaluate...
Curated OER
Rational Numbers
For this rational numbers worksheet, students solve and complete 25 different problems that include identifying numerous types of rational numbers. First, they place a greater than, less than or equal to symbol between the fractions to...
Curated OER
Multiply Rational Expressions
In this algebra learning exercise, learners solve rational expressions using multiplication. They cancel out common factors and simplify the expression. There are 28 questions with an answer key.
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