Curated OER
Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
Curated OER
Exponents - Week 1
In this exponent worksheet, students add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.
Curated OER
Adding/Subtracting Rational Expressions
In this adding and subtracting rationals worksheet, students find common denominators and solve 26 computation problems. Denominators are polynomials and fractions.
EngageNY
The Structure of Rational Expressions
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...
West Contra Costa Unified School District
Comparing Rational Functions and Simplified Functions
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...
Del Mar College
Finding the Domain
Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...
West Contra Costa Unified School District
Fractional Exponents
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson plan introduces and thoroughly explains the Algebra II concept, and closes with a variety of example...
Mt. San Antonio Collage
Graphs of Rational Functions
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question.
Curated OER
Rational Expressions: Simplifying
This two-day instructional activity will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The instructional activity contains powerpoint presentations,...
Virginia Department of Education
Rational Expressions
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...
Virginia Department of Education
Exponents and Radicals
What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.
Curated OER
Rational Expressions
Students simplify rational expressions. In this algebra lesson, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
Curated OER
Lesson 19: Rational Functions and Long Division
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
Curated OER
Dividing Integer Powers
Work on the concept of using division with integer powers. The skills of using exponents and multiplying powers should be in place before attempting this lesson. The lesson provides examples for the teacher to use for direct instruction.
Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Curated OER
Asymptotes and Zeros
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes. Students approximate the solutions to rational equations and inequalities by graphing.
Curated OER
Indeterminate Forms and L'Hopital's Rule
In this limits worksheet, students use Taylor's Theorem to solve two short answer problems. They use L'Hopital's Rule to solve two short answer problems. Students read a two page lesson on limits.
Curated OER
Rational Functions and Their Graphs
In this Algebra II instructional activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes. The three page instructional activity contains...
Curated OER
Dividing Expressions
In this algebra worksheet, students divide expressions and utilize exponent rules. There are 7 questions with multiple parts.
Curated OER
Applications Of Rational Functions
Students engage in a lesson plan that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson plan for the purpose of practice during guided instruction....
Curated OER
Simplifying Rational Expressions.
In this algebra worksheet, student simplify rational expressions. They use properties of exponential functions to solve. There are 79 questions.
Curated OER
Rational Expressions
In this Algebra II worksheet, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors. The two page worksheet contains instruction, worked examples, and three practice problems. Answers are...
Curated OER
Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on exponential and...