Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 7th - 9th
In this adding and subtracting rational expressions worksheet, learners solve 22 problems with complex denominators. Eight problems have common denominators, for the other 14, students must first multiply to find the common denominator.
Lesson Plan
Curated OER

Algebraic Fractions

For Teachers 9th
In this Algebra I worksheet, 9th graders find the product or quotient of algebraic fractions and reduce to simplest form.  The two page worksheet contains a combination of eleven multiple choice and free response questions. ...
Worksheet
Curated OER

Rational Equations 9-5

For Students 8th - 10th
Algebra learners practice solving various rational equations by finding the LCD and multiplying both sides of the equation. There are nine problems on this learning exercise geared towards algebra 1. 
Lesson Plan
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
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...
Lesson Plan
1
1
EngageNY

Equations Involving a Variable Expression in the Denominator

For Students 9th - 10th Standards
0/0 doesn't equal 0! Begin this lesson by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Worksheet
Curated OER

Algebra Worksheet: Number systems

For Students 10th - Higher Ed
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...
Lesson Plan
Curated OER

Algebra 1: Simplifying Radicals

For Teachers 8th - 9th Standards
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
Worksheet
Curated OER

Rational Exponents

For Students 9th - 11th Standards
In this Algebra learning exercise, students simplify expressions involving rational exponents.  The one page learning exercise contains explanation, examples and nine practice problems.  
Worksheet
Curated OER

Rational Expressions

For Students 11th
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. ...
Worksheet
Curated OER

The Meaning of an Algebraic Fraction

For Students 9th - 11th
In this Algebra I/Algebra II instructional activity, students determine the values for which an algebraic expression is undefined.  The one page instructional activity contains seven multiple choice questions.  Answers are...
Worksheet
Curated OER

Adding or Subtraction Algebraic Fractions

For Students 9th - 11th
In this Algebra I/Algebra II activity, students add and subtract algebraic fractions and reduce the answer to lowest terms.  The two page activity contains a combination of eleven multiple choice and free response questions. ...
Worksheet
Curated OER

Solving Equations Containing Algebraic Fractions

For Students 8th - 9th
In this algebraic fractions worksheet, students solve and complete 20 different problems that include solving equations that contain algebraic fractions. First, they determine the common denominator in each and use the product of all the...
Lesson Plan
Curated OER

Is Bigger Always Better?

For Teachers 6th - 8th
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...
Lesson Plan
Virginia Department of Education

Rational Equations

For Students 9th - 12th Standards
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they...
Assessment
Noyce Foundation

Toy Trains

For Teachers 6th - 7th Standards
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
Worksheet
Curated OER

Multiplying and Dividing Rational Expressions

For Students 8th - 11th
In this algebra learning exercise, students solve rational expression with multiplication and division. They factor and simplify. There are 6 questions with an answer key.
Worksheet
Curated OER

Rational Exponents

For Students 8th - 9th
Simplify algebraic expressions involving rational exponents using this one page interactive worksheet. It contains five multiple choice questions and is self checking.
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
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,...
Lesson Plan
Curated OER

Solving Algebraic Equations: Algebra/Geometry Institute

For Teachers 7th - 8th
Students solve problems using PEMDAS. In this algebraic equations instructional activity, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.
Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Lesson Plan
1
1
EngageNY

Adding and Subtracting Expressions with Radicals

For Students 9th - 10th Standards
I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of...
Lesson Plan
Curated OER

Asymptotes And Zeros of Rational Functions

For Teachers 9th - 12th Standards
Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...
Worksheet
Curated OER

Twelve Rational Expressions Math Regents Exam Problems

For Students 8th - 10th
In this rational exponents worksheet, students solve ten multiple choice and two free response math regents exam questions.  The solutions are provided.