What do you get when you cross piecewise functions with transformations?  An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...

Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...

Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase...

What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...

Seven activities make up a collection of supplemental materials to reinforce graphing on a coordinate plane. Worksheet objectives include plotting coordinates within single and four quadrants, measuring straight and...

Use the Schoolhouse Rock episode, "Rufus Xavier Sarsaparilla," to introduce a study of pronouns. Learners consider antecedents, cases (nominative, objective and possessive), as well as types of pronouns, and then craft sentences using...

Few aspects of life make better fodder for a comedic play than politics. A study guide introduces George Bernard's Shaw comedy Arms and the Man. Along with summaries of each scene and brief biographies of the main characters, two lesson...

Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson plan emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse...

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...

Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...

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. 

Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...

Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging lesson plan helps learners make a connection between factors, zeros, and solutions. Pupils explore the relationship between...

This worksheet manages to provide both fun and serious work solving exponential and logarithmic application problems in engaging story lines and real-life situations. A strong emphasis on science applications and numbers pulled...

How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...

Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...

As part of a study of immigration and the U.S. economy, class members assume the role of newspaper editors to determine which submitted letters to print on their paper's editorial page to present a balanced view of the debate.

How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...

Get those kids to solve and graph 10 different problems that include various types of functions and their relations. They determine if each graph represented is the relation of a function then determine which value of the variable will...

Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty...

High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.

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.

Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...

Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...