Corbett Maths
Simplifying Algebraic Fractions
Simplification is about factoring. While working with rational expressions, pupils must know how to factor. The video shows how the process of finding common factors in algebraic fractions is similar to finding common factors in...
Curated OER
Adding and Subtracting Rational Expressions 9-4
In this addition and subtraction worksheet, students solve 15 problems in which they add or subtract with monomial denominators, binomial denominators, and complex fractions.
Curated OER
Rational Numbers in Lowest Terms
In this rational numbers worksheet, students write equivalent forms of rational numbers, divide rational numbers, and express them in their lowest terms. This two-page worksheet contains five problems.
Curated OER
Rational Exponents
Simplify algebraic expressions involving rational exponents using this one page interactive learning exercise. It contains five multiple choice questions and is self checking.
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...
Education Development Center
Sum of Rational and Irrational is Irrational
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
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
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...
Mathematics Assessment Project
Seeing Structure in Expressions
Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions.
Corbett Maths
Adding Algebraic Fractions
The process requires the combination of several concepts. A video shows how individuals need several concepts to add rational expressions. Pupils must remember they need to find common denominators, combine like terms, and use the...
Curated OER
Asymptotes And Zeros of Rational Functions
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...
Curated OER
Rational Expressions
In this rational expressions worksheet, 9th graders solve 10 different problems that include adding and subtracting various fractional expressions. First, they determine the least common denominator for each one. Then, students add the...
Curated OER
Simplifying Rational-Fractional Expression
In this rational and fractional expressions worksheet, 9th graders solve 10 different problems that include simplifying various types of expressions. They simplify into simplest form each of the listed equations, including both rational...
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.
Concord Consortium
Sloppy Student II
Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the...
EngageNY
Investments—Performing Operations with Rational Numbers
Partners fill out a register to record transactions on a college investment account. They use the amounts listed to calculate the running and current balance of the account, providing experience in adding and subtracting rational numbers.
EngageNY
Collecting Rational Number Like Terms
Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...
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...
EngageNY
Applying the Properties of Operations to Multiply and Divide Rational Numbers
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving multiplication...
CK-12 Foundation
Simplification of Radical Expressions: Irrational Garden Plot
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
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...
Curated OER
Rationals
For this algebra worksheet, students divide rational expressions. They find the Least common denominator to simplify the rational expression. There are 8 problems.
Curated OER
Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions activity, students answer 18 multiple choice problems about rational functions. Students determine values for a which a function is undefined given the equation of the function.
Curated OER
Rational Expressions
For this algebra worksheet, students solve expressions containing fractions. They solve using cancellations and factoring. There are 26 problems with an answer key.