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...

There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.

Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...

Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...

This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...

It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...

Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...

One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....

In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph.  The four page worksheet contains seventy-two problems. ...

Learners sketch the graph of 4 functions and define the domain and range of each.

It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...

Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...

Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.

After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...

Don't think this lesson is for Mom and Dad; parent functions are all for your high schoolers. Flip through a presentation with a focus slide on each type of graph and its characteristics. Some examples are included but the...

In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page worksheet contains forty problems.  Answers are provided. 

Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs. 

Give classes a sneak peek at an upcoming test. Scholars work released items from the AP Calculus AB test to prepare for their own exams. The resource consists of six items, two graphing calculator items, and four non-calculator items....

Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...

From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...

Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...

Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.

Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...

Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.