+
Interactive
GeoGebra

GeoGebra Graphing Calculator

For Students 9th - Higher Ed Standards
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.
+
Lesson Plan
Virginia Department of Education

Rational Equations

For Students 9th - 12th Standards
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...
+
Worksheet
Curated OER

Math Regents Exam Questions: Graphing Rational Functions

For Students 9th - 12th
In this graphing rational functions instructional 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.
+
Worksheet
Curated OER

Lesson 19: Rational Functions and Long Division

For Students 10th - 12th
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...
+
Worksheet
Mt. San Antonio Collage

Graphs of Rational Functions

For Students 9th - 12th Standards
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. 
+
Lesson Plan
K20 LEARN

Driving Rationally: Introduction To Rational Functions And Asymptotes

For Teachers 11th Standards
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...
+
Assessment
Inside Mathematics

Graphs (2004)

For Teachers 9th - 12th Standards
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...
+
Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
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....
+
Assessment
Inside Mathematics

Graphs (2006)

For Teachers 9th - 12th Standards
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
+
Worksheet
Curated OER

Senior Analysis: Graphing Rational Functions

For Students 10th - 12th
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page instructional activity contains 23 problems.
+
Assessment
Mt. San Antonio Collage

Test 2: Rationals, Exponentials, and Logarithms

For Students 9th - 12th Standards
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. 
+
Lesson Plan
1
1
EngageNY

Comparing Rational Expressions

For Students 10th - 12th Standards
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result. 
+
Lesson Plan
Texas Instruments

Graphs of Rational Functions

For Teachers 9th - 12th Standards
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...
+
Interactive
Curated OER

Simultaneous Equations for Circuit Analysis

For Students 8th - 12th
In this worksheet, 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 worksheet is printable and the answers are...
+
Unit Plan
Mathematics Vision Project

Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
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...
+
Worksheet
1
1
Curated OER

Rational Functions

For Students Higher Ed
In this college level Pre-Calculus instructional activity students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page instructional activity contains forty problems.  Answers...
+
Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
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...
+
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
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,...
+
Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
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...
+
Assessment
Mt. San Antonio Collage

Test 1: Graphing Functions

For Students 9th - 12th Standards
Graph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
+
Lesson Plan
Virginia Department of Education

Radical Equations

For Students 9th - 12th Standards
Provide students 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...
+
Interactive
CK-12 Foundation

Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
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.
+
Worksheet
3
3
Flipped Math

Unit 2 Review: Create and Solve Equations and Inequalities

For Students 9th - 10th Standards
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...
+
Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
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...