Curated OER
Rational Exponents
Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
Illustrative Mathematics
Identifying Rational Numbers
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...
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,...
Curated OER
Rational Functions
Through a mini assessment, learners identify and list the vertical and horizontal asymptotes for the given rational functions and determine the type of asymptote of a given rational function. They also decide which form of a function...
Curated OER
Simplifying Rational Expressions
In this algebra worksheet, students simplify rational expressions using common denominators. There are 50 questions requiring factoring and grouping, with an answer key.
Curated OER
Topic 9.4 - Adding and Subtracting Rational Expressions
This worksheet contains a good selection of problems of adding and subtracting rational expressions. There are eight problems. None of the problems have common denominators. A few are mixed expressions and some require factoring....
Curated OER
Solving Rational Equations
In this algebra activity, students solve rational equations. They add and subtract rational equations and check for extraneous roots. There are 16 questions with an answer key.
Curated OER
Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions
Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.
Curated OER
Simplifying Rational Exponents
For this algebra worksheet, students simplify rational exponents using the property of exponents. There are 22 problems with an answer key.
Curated OER
Solving Rational Equations 1
For this Algebra I worksheet, students solve rational equations that may have extraneous solutions. The worksheet is two pages and contains twenty problems. Answer key is provided.
Curated OER
Applications Using Rational Equations
Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...
Curated OER
Solving Rational Equations
In this algebra worksheet, learners solve rational equations including two application problems. This worksheet contains explanations to aid in understanding.
Curated OER
Regents Exam: Solving Rationals 1
In this rational number worksheet, students add and subtract fractions containing variables. They find common denominators and solve for the unknown. This four-page worksheet contains eighteen problems. Answers are listed on the last...
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Curated OER
Extra Practice 10.4: Solving Rational Equations
In this rational equations worksheet, students solve 20 rational equations. Students find the zeros of rational functions and solve rational equations.
Curated OER
Hen and a Half, Variable: Rational Expressions
Looking for a fun warm-up problem while studying rational expressions? High schoolers write a rational expression to represent the number of eggs that a hen can lay. This is a multiple choice question complete with a worked out solution.
Flipped Math
Rational Equations
Take a rational look at solving equations. Learners watch a video presentation on solving simple rational equations that shows solving the equation along with finding excluded values. Viewers then practice the skill with the worksheets...
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
EngageNY
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question — great...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
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