PBL Pathways
Cell Phones
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Curated OER
Rational Functions and Their Graphs
In this Algebra II worksheet, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes. The three page worksheet contains explanation of topic, several...
Curated OER
Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
Curated OER
Rational Expressions Test with a Calculator
In this rational expression activity, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This activity is designed as a test to be completed with a calculator.
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
Exponential and Logarithmic Functions
High schoolers grow their skills exponentially after completing this thorough instructional activity. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying,...
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...
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.
Curated OER
Parent Functions Review Sheet
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
Curated OER
Graphing Rational Functions
In this algebra activity, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.
Curated OER
Hyperbola
In this hyperbola worksheet, students solve and complete 33 different problems that include identifying various hyperbolas. First, they graph each hyperbola, stating the center, vertices, co-vertices, foci, asymptotes, and latus rectum....
Curated OER
Graphs and Equations of Conic Sections Practice Test
In this conic section worksheet, students complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems. The solutions are provided.
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
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...
CK-12 Foundation
Infinite Limit Type: Evaluating Limits of Rational Functions
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
Curated OER
Graphs of Functions
In this algebra learning exercise, 11th graders graph functions and identify properties of each functions. They find the domain and range, along with the asymptote. There are 4 questions on this learning exercise.
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
Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
Curated OER
Rational Function Graphs
Students use algebraic methods to represent and solve problems. Using a graphing calculator, students solve rational and inequality problems. They visually demonstrate solutions of functions through graphing. Students answer questions...
Shodor Education Foundation
Data Flyer
Fit functions to data by using an interactive app. Individuals plot a scatter plot and then fit lines of best fit and regression curves to the data. The use of an app gives learners the opportunity to try out different functions to see...
Mt. San Antonio Collage
Quiz 2: Types of Functions
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials.
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...
Curated OER
Rational Functions
In this college level Pre-Calculus activity students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts. The three page activity contains forty problems. Answers are provided.
Curated OER
The Reciprocal Function Family
In this Algebra II worksheet, 11th graders examine the reciprocal function family in the form y = a/(x – h) + k, identifying the vertical and horizontal asymptotes. The two page worksheet contains explanation, examples, and two practice...