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...
Education Development Center
Rational Exponents
It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
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...
Education Development Center
Absolute Value Reasoning
Teach solving absolute value inequalities through inquiry. Groups use their knowledge of absolute value and solving inequalities to find a solution set to an absolute value inequality. Working collaboratively encourages discussion,...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Education Development Center
Word Problem with Rational Numbers—Balancing Bars of Soap
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
Curated OER
Summer Intern
Your young apprentices build a function describing the percent concentration of salt in a brine. The rational function is then related to the parent function, y= 1/x, and graphed. Finally, the apprentices predict the amount of fresh...
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Texas Instruments
Texas Instruments: Solving Rational Expressions
Students will solve rational equations for unknown variables, use given information to create rational equations, and determine the relationship between rational expressions.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Equations With Rational Expressions
Using this tutorial, you will learn to solve equations with rational expressions by following step-by-step examples, viewing video explanations, and completing practice questions.
Oswego City School District
Regents Exam Prep Center: Solving Fractional Equations
Use this site to learn how to eliminate the denominators to make solving these equations easier. Examples contain algebraic fractions with monomials and higher degree polynomials in the denominators.
Texas Instruments
Texas Instruments: Rational Functions and Their Asymptotes
In these questions, students identify asymptotes and removable discontinuities of rational functions, simplify rational expressions, and solve rational equations. Solutions and explanations are included.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Adding Algebraic Fractions
Here is a site that clearly and thoroughly explains adding algebraic fractions (rational expressions) both with common denominators and with different denominators. There are example problems solved, problems for the student to attempt,...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Multiplying & Dividing Algebraic Fractions
Here is a site that clearly and thoroughly explains multiplying and dividing algebraic fractions (rational expressions). There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Paul Dawkins
Paul's Online Notes: Algebra & Trig Review
The tutorial reviews algebra and trigonometric topics needed in Calculus. Topics examined are solving equations, rational expressions, absolute value, solving trigonometric functions, exponentials, and logarithms. Class notes,...
Interactive Mathematics
Interactive Mathematics: Solving Non Linear Inequalities
The steps for solving non-linear inequalities are presented along with examples to demonstrate the processes. Examples include equations that contain quadratics, cubics and rational expressions.
Interactive Mathematics
Interactive Mathematics: Equations Involving Fractions
The method of solving equations with rational expressions is demonstrated through the use of word problem. Exercises are provided for extra practice.
Help Algebra
Help algebra.com: Polynomial and Rational Inequalities
Learn to solve inequalities and how to graph their solutions on a number line. The examples contain quadratics and rational expressions.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Skill in Algebra: Algebraic Fractions
Explains how to find a common denominator between two rational expressions and how to reduce a fraction that involves factoring. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Lawrence Hall of Science
The Math Page: Skill in Algebra: Multiplying and Dividing Radicals
Here is a site that clearly and thoroughly explains multiplying and dividing radical expressions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Saddleback College
Algebra2 Go: Beginning Algebra
The resource consists of comprehensive notes, videos, and worksheets through which students can review algebra concepts.
Other
Math Mistakes: Common Algebra Mistakes
Learn from other student's mistakes by reviewing examples of the following Algebra topics: rational expressions, radical expressions, function notation, solving linear equations, solving linear inequalities, solving quadratic equations,...