Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
Curated OER
Rational, Irrational and Square Roots
Learners identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills learners...
EngageNY
Rational and Irrational Numbers
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
PBL Pathways
Cell Phones
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Curated OER
Solving Rational Equations
In this algebra activity, 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
Adding and Subtracting forty-Four Rational Expressions with Unlike Denominators
In this adding and subtracting rational expressions worksheet, young scholars perform the indicated operations and simplify forty-four expressions. These problems involve unlike denominators.
Curated OER
Rational Expressions: Add and Subtract
In this rational expression worksheet, students add or subtract rational expressions by finding common denominators. There are 11 multiple choice questions.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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...
Lane Community College
Review Sheets: Beginning Algebra
This jumbo activity contains everything you need to get through Pre-Algebra. Begin with simple expressions, and end with linear functions and polygons. There are multiple problems for each topic to make sure those skills are set.
Curated OER
Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
Curated OER
Rational Expressions
In this Algebra II instructional activity, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors. The two page instructional activity contains instruction, worked examples, and three...
Curated OER
Worksheet 9: Trig Functions
For this math worksheet, students are given 7 problems in which they write expressions for trig functions, compute limits and graph functions.
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a scatter...
Curated OER
The Method of Integration by Partial Fractions
In this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.
Virginia Department of Education
Balanced
Bring balance to your lesson plans with an activity that asks individuals to solve one-step linear equations with inverse operations. Balance scales help learners understand the concept of isolating the variable.
Texas Instruments
Texas Instruments: Rational Addition, Subtraction
This StudyCard stack covers adding (or subtracting) numerators with simple to complex denominators. The set ends with sums or differences of rational functions with different denominators.
Free Math Help
Free Math Help: Adding and Subtracting Rational Functions
Students learn how to add and subtract rational functions. The lesson consists of definitions, examples, and additional resources.
Khan Academy
Khan Academy: Intro to Adding & Subtracting Rational Expressions
Learn how to add or subtract two rational expressions into a single expression.
CK-12 Foundation
Ck 12: Algebra: Adding and Subtracting Rational Expressions
[Free Registration/Login may be required to access all resource tools.] This lesson covers adding and subtracting rational expressions when one of the denominators is the LCD. Students can look at guided notes and attempt practice problems.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...