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EngageNY
Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
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...
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
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...
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 activity, 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
Graphing Rational Functions
Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...
Curated OER
Rationals
In this rational numbers instructional activity, 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...
Curated OER
Simplifying Rational Expressions
For this rational expression worksheet, students 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
Rational Functions
In 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, students multiply and divided rational expressions and simplify the answers. The two page worksheet contains sixty-two problems. Answers are provided.
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
Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions worksheet, students 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 worksheet, students 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 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
Addition and Subtraction of Rational Expressions
In this rational expressions learning exercise, 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...
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
In this rational numbers learning exercise, 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...
Curated OER
Multiply Rational Expressions
In this algebra worksheet, students solve rational expressions using multiplication. They cancel out common factors and simplify the expression. There are 28 questions with an answer key.
Curated OER
Dividing Rational Expressions
In this algebra lesson, 11th graders solve rational equations using division and its reciprocal. There are 22 questions with an answer key.
Curated OER
Solving Rational Equations
In this rational equations worksheet, students 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.
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