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
Equations Involving a Variable Expression in the Denominator
0/0 doesn't equal 0! Begin this instructional activity 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...
Rice University
Algebra and Trigonometry
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...
Curated OER
Algebra Worksheet: Number systems
This instructional activity 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,...
Curated OER
Algebra 1: Simplifying Radicals
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...
Curated OER
Rational Exponents
In this Algebra instructional activity, students simplify expressions involving rational exponents. The one page instructional activity contains explanation, examples and nine practice problems.
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
The Meaning of an Algebraic Fraction
In this Algebra I/Algebra II worksheet, students determine the values for which an algebraic expression is undefined. The one page worksheet contains seven multiple choice questions. Answers are provided.
Curated OER
Adding or Subtraction Algebraic Fractions
In this Algebra I/Algebra II worksheet, students add and subtract algebraic fractions and reduce the answer to lowest terms. The two page worksheet contains a combination of eleven multiple choice and free response questions. Answers...
Curated OER
Solving Equations Containing Algebraic Fractions
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...
Curated OER
Is Bigger Always Better?
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...
Virginia Department of Education
Rational Equations
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 study steps to...
Noyce Foundation
Toy Trains
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 by developing an algebraic...
Curated OER
Multiplying and Dividing Rational Expressions
In this algebra worksheet, students solve rational expression with multiplication and division. They factor and simplify. There are 6 questions with an answer key.
Curated OER
Rational Exponents
Simplify algebraic expressions involving rational exponents using this one page interactive worksheet. It contains five multiple choice questions and is self checking.
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
Solving Algebraic Equations: Algebra/Geometry Institute
Learners solve problems using PEMDAS. In this algebraic equations lesson, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
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...
EngageNY
Adding and Subtracting Expressions with Radicals
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 polygons.
Curated OER
Twelve Rational Expressions Math Regents Exam Problems
In this rational exponents worksheet, students solve ten multiple choice and two free response math regents exam questions. The solutions are provided.
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 1)
This first of twelve algebra 2 resources provides a broad review of many algebra 1 concepts through a number of separable lessons and labs. Starting with the real number system and its subsystems, the sections quickly but thoroughly move...
Del Mar College
Algebra Assessment Review
Jam packed with problems, this advanced Algebra worksheet focuses on topics such as domain, solving quadratics, solving rationals, and function notation.
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...
Curated OER
Rational and Irrational Numbers
Here is a rational and irrational numbers worksheet in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.