Worksheet
Curated OER

Inverse Trig Functions: Domain and Range

For Students 9th - Higher Ed
In this trigonometric functions worksheet, learners calculate the domain and range of the three basic trig functions. There are 6 equations.
PPT
University of North Texas

Graphing Piecewise Functions

For Students 9th - 12th Standards
Piecewise functions are the hodge-podge of algebra. Here, pupils watch as each graph is created and then pieced together to make a function. The first example creates a graph step-by-step, while the second problem posts a graph...
Lesson Plan
1
1
Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging lesson plan asks scholars to explore the behavior of different rational functions. Groups discover a connection between the...
Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
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...
Interactive
CK-12 Foundation

Analyzing the Graphs of Functions: Analyzing a Rational Function

For Students 11th - Higher Ed
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Young scholars explore the concept of piecewise functions. In this piecewise functions instructional activity, students graph piecewise functions by hand and find the domain and range. Young scholars make tables of values given a...
Lesson Plan
Virginia Department of Education

Functions 1

For Teachers 8th - 10th Standards
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
Worksheet
Mt. San Antonio Collage

Exponential and Logarithmic Functions

For Students 9th - 12th Standards
High schoolers grow their skills exponentially after completing this thorough activity. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
Lesson Plan
Virginia Department of Education

Composition of Functions

For Students 10th - 12th Standards
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Worksheet
Mt. San Antonio Collage

Test 1: Functions and Their Graphs

For Students 9th - 12th Standards
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...
Lesson Plan
Curated OER

Exercise Set 1.5: Inverse Functions

For Teachers 11th - Higher Ed
In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
Lesson Plan
Curated OER

Functions - Intro and Inverses

For Teachers 9th - 11th
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Lesson Plan
Curated OER

Algebra I: Linear Functions

For Teachers 8th - 10th
Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This lesson plan allows for the discussion of independent and dependent variables,...
Lesson Plan
Illustrative Mathematics

Function Rules

For Teachers 7th - 9th Standards
Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...
Handout
2
2
Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
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...
PPT
University of North Texas

Library of Functions

For Students 9th - 12th Standards
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class...
Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive activity emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 9th - 12th Standards
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,...
Activity
Curated OER

Tale of the Tape

For Teachers 9th - 12th Standards
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Lesson Plan
EngageNY

Inverse Functions

For Teachers 11th - 12th Standards
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
Lesson Plan
Curated OER

Piecewise-Defined Functions 2

For Teachers 10th
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
Lesson Plan
Willow Tree

Functions

For Students 8th - 11th Standards
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it. 
Unit Plan
Mathematics Vision Project

Features of Functions

For Teachers 9th - 10th Standards
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...