GeoGebra
GeoGebra Graphing Calculator
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
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...
Curated OER
Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions worksheet, 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
Lesson 19: Rational Functions and Long Division
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
Mt. San Antonio Collage
Graphs of Rational Functions
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question.
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...
Inside Mathematics
Graphs (2004)
Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...
Desmos
Desmos Graphing Calculator
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a instructional activity that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Curated OER
Senior Analysis: Graphing Rational Functions
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.
Mt. San Antonio Collage
Test 2: Rationals, Exponentials, and Logarithms
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range.
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.
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
Simultaneous Equations for Circuit Analysis
In this activity, students use Algebra to plot different solutions to equations and analyze schematics in order to answer a series of 25 open-ended questions about electrical circuits. This activity is printable and the answers are...
Curated OER
Rational Functions
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts. The three page worksheet contains forty problems. Answers are provided.
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...
West Contra Costa Unified School District
Comparing Rational Functions and Simplified Functions
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to...
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,...
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...
Mt. San Antonio Collage
Test 1: Graphing Functions
Graph the night away with all the different types of functions provided in the learning exercise. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
Virginia Department of Education
Radical Equations
Provide learners with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve using...
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.
Flipped Math
Unit 2 Review: Create and Solve Equations and Inequalities
Start with the basics. Pupils work through a review of the unit on equations and inequalities. Learners begin with solving equations and inequalities with no context, move on to problems that involve a context, and finish with a...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...