Curated OER
Rational Exponents
Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
Curated OER
Rational Expressions: Simplifying
This two-day instructional activity will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The instructional activity contains powerpoint presentations,...
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...
University of Utah
Rational and Irrational Numbers
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question — great...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
K20 LEARN
Driving Rationally: Introduction To Rational Functions And Asymptotes
Calculating average speeds is not as simple as finding an average. The lesson introduces class members to rational functions by presenting a problem about finding an average speed for the rest of a trip. Pupils develop an equation to...
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.
Texas Instruments
Graphs of Rational Functions
Take your kids on a tour of graphing rational functions. Using this TI lesson, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions of...
Curated OER
Finding Equivalent Forms For Positive Rational Numbers
Learners discuss the relationship between and the equivalent forms of rational numbers. They will convert numbers from decimals to fractions, understanding they are equivalent, but just different forms.
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...
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.
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, 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...
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...
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...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
CK-12 Foundation
Addition and Subtraction of Rational Expressions: Strawberry Sherbet Punch
Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.
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
Oblique Asymptotes: Rational Functions and Asymptotes
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
CK-12 Foundation
Horizontal and Vertical Asymptotes: Rational Functions
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
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...
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