Lesson Plan
EngageNY

Graphing the Logarithmic Function

For Teachers 10th - 12th Standards
Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...
Worksheet
Curated OER

Relations and Functions

For Students 11th
In this relations and functions activity, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...
Worksheet
Curated OER

Rational Functions

For Students 9th - 11th
In this rational functions worksheet, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page worksheet contains 35...
Worksheet
Curated OER

Composition of Functions and the Chain Rule

For Students Higher Ed
In this function worksheet, 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 worksheet contains...
Lesson Plan
Virginia Department of Education

Functions 2

For Teachers 8th - 10th Standards
Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...
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.
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 activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between the...
Worksheet
Curated OER

Exponential Graph Functions

For Students 9th - 12th
In this exponential functions worksheet, high schoolers solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for...
Worksheet
Curated OER

Exponential Functions

For Students 7th - 8th
For this exponential functions worksheet, students solve and complete 20 various types of problems. First, they graph the function and state the domain and range. Then, students tell whether the graph represents exponential growth or...
Worksheet
Curated OER

Discussion Sheet 1: Domain & Range of a Function

For Students Higher Ed
In this domain and range worksheet, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page worksheet contains nine multi-step problems.
Worksheet
Curated OER

Final Exam Review: College Algebra

For Students 11th - Higher Ed
In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations.  They identify the slope of a line and write linear equations.  Students use Cramer's rule, graphing,...
Worksheet
Curated OER

Operations with Functions

For Students 11th - Higher Ed
This is a very strange but fairly amazing worksheet. You plug-in the number of problems, how you'd like them arranged, and if answers should be available and click retrieve. Like magic a worksheet to your specifications pops up. This...
Worksheet
Mt. San Antonio Collage

Exponential and Logarithmic Functions

For Students 9th - 12th Standards
High schoolers grow their skills exponentially after completing this thorough worksheet. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
Instructional Video18:18
2
2
Flipped Math

Piecewise Functions

For Students 9th - 10th Standards
Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...
Worksheet
Curated OER

Simplifying Functions

For Students 11th
In this simplifying functions worksheet, 11th graders solve and complete 11 different types of problems. First, they simplify each function as necessary. Then, students state the vertical asymptotes, holes, horizontal asymptotes, domain...
Worksheet
Curated OER

Chapter 10-Relations and Functions, Practice Test

For Students 8th - 10th
In this intermediate algebra instructional activity, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.
Worksheet
Curated OER

Linear Functions and Piecewise Linear Functions

For Students 12th - Higher Ed
An activity that could function as a review or as a quiz, this worksheet prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They identify the domain...
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
1
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Illustrative Mathematics

Points on a Graph

For Teachers 8th - 12th Standards
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
Performance
Radford University

“FUN-ctions” Find the Equation of a Scream

For Teachers 9th - 12th Standards
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...
Worksheet
Curated OER

Complex Analysis: Function

For Students Higher Ed
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
Lesson Plan
EngageNY

Restricting the Domain

For Teachers 11th - 12th Standards
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...
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. 
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,...