K20 LEARN
Driving Rationally: Introduction To Rational Functions And Asymptotes
Calculating average speeds is not as simple as finding an average. The instructional activity introduces class members to rational functions by presenting a problem about finding an average speed for the rest of a trip. Pupils develop an...
Flipped Math
Dividing Polynomials
Divide and conquer factoring. Learners see how dividing polynomials is similar to long division of numbers. Pupils learn how to use long division of polynomials to help find factors of higher degree polynomials. They then use their...
EngageNY
End-of-Module 3 Assessment Task
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
EngageNY
Rational Functions
Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...
CK-12 Foundation
Decimals as Mixed Numbers
Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions.
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 answer and the...
Corbett Maths
Dividing Algebraic Fractions
Do the keep, change, flip dance. The resource shows that the division of algebraic fractions follows the same rules as dividing numerical fractions. Pupils understand that if they can multiply rational expressions, they can divide...
Corbett Maths
Multiplying Algebraic Fractions
Make the complicated look relatively simple. The video shows how multiplication of algebraic fractions is easier when they factor the numerators and denominators. Pupils see which factors will cancel, or divide out, easier when writing...
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...
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...
CK-12 Foundation
Multiplication of Rational Expressions
There's nothing irrational about this lesson. Explore the process of multiplying rational expressions through discovery. A well-designed lesson has learners factor and multiply rational expressions by dragging factors to the correct place.
CK-12 Foundation
Simplifying Rational Expressions: Sliding Solver
Build a strong understanding of simplified rational expression with your classes. An interactive lesson helps scholars discover the equality between the original expression and the simplified expression. Questions help individuals focus...
CK-12 Foundation
Division of Rational Expressions: Step by Step
Division just got a little trickier! An interactive lesson highlights the steps of dividing two rational expressions. Young scholars determine the order of the steps from a bank of possible work.
Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
Math Guy
Algebra 2 Practice Final
Work out to Algebra II with the 50-question worksheet that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
Mathed Up!
Algebraic Fractions
Learn ways to simplify algebraic fractions with a video that reviews how to simplify rational expressions by canceling common factors and how to add and subtract simple rational expressions. A worksheet tests pupils' understanding of the...
Curated OER
Simplifying Rational Expressions
This is a 10-problem worksheet on simplifying rational expressions. Most of the problems require factoring. It is assumed that the domain of variables do not include values for which any denominator is zero. Answers are included.
Curated OER
Subtracting Rational Expressions
This worksheet contains 10 problems on subtracting rational expressions. It starts out with like denominators and progresses to more complicated problems. Answers are included.
Curated OER
Rational Expressions/Equations Test
In this Algebra II worksheet, students are given a test of twenty-three problems regarding Rational Expressions and Rational Equations. Some of the questions are multiple choice, while others are word problems or problem solving problems.
Curated OER
Simplify Rational Expressions
For this simplifying rational expressions worksheet, students solve 18 rational expression problems. Students find common denominators and factor quadratics to simplify rational expressions.