CPM
Tables, Equations, and Graphs
Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...
Curated OER
Graphs of Functions
In this graphs of functions worksheet, students identify the domain and range of a function. They determine the vertical horizontal asymptote and find the y and x intercepts. Students sketch a graph of the function. This one-page...
Curated OER
The Energy of Empty Space
In this energy in empty space worksheet, learners use an equation for Cosmic Inflation to solve eight problems. They find the domain and range of the function of the equation, they determinethe axis of symmetry, they find the critical...
Curated OER
Topic 2.1 - Relations and Functions
In this function worksheet, students state the domain and range of 2 functions. They then determine whether 7 relations are functions or not. Finally, students solve 6 problems in which they find the value of a specific function.
Curated OER
Composition of Functions and the Chain Rule
In this function learning exercise, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page learning...
EngageNY
Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Mt. San Antonio Collage
Test 1: Functions and Their Graphs
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
Curated OER
Calculus Worksheet: Limits of Functions (1)
Students sketch the graph of 4 functions and define the domain and range of each.
Radford University
“FUN-ctions” Find the Equation of a Scream
Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...
EngageNY
Restricting the Domain
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
Illustrative Mathematics
Invertible or Not?
Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...
Weekly Story Book
Folk Tales and Fables
Pages and pages of engaging activities, worksheets, and writing projects on teaching folktales and fables await you! You don't want to miss this incredible resource that not only includes a wide range of topics and graphic...
Charanga
Sing!
Whether new to the Kodály Method of music instruction or an experienced veteran, you'll find much to make your heart sing in a teacher guide that was designed for a music appreciation project.
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
Curated OER
Parabolic Equations
In this parabolic instructional activity, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This...
University of North Texas
Math Exam 1 Review
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...
Curated OER
Investigating Domains
For this algebra worksheet, students graph polynomials and find the domain and range by examining the graphs. There are 6 problems with graphs drawn.
Curated OER
Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra lesson, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Curated OER
Dog Days or Dog Years?
In need of some algebraic fun with real world implications?Learners use ordered pairs, a table of values and a scatter plot to evaluate the validity of several real world data sets. The class focuses on dog ages in human...
Mathematics Assessment Project
Statistics and Probability
Quickly assess basic understandings of statistics and probability. The resource contains five quick tasks from the probability and statistics domain. The questions range from finding simple conditional probabilities to measures of...
Curated OER
Worksheet 11
In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.