Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...

It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.

Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...

All's fair in math and war. Scholars examine the Battle of Trafalgar using calculus. They set up and solve a system of differential equations to determine the number of ships remaining in each fleet over time.

Don't get lost trying to memorize all those derivative rules. Scholars review the different methods at their disposal to determine derivatives from Units 2 and 3. They fill out a graphic organizer and then complete a set of practice...

A solution to a lack of resources on related rates awaits. Viewers of an educational video learn how to solve related rates problems. They build on their prior experience of related rates to write equations for contextual situations,...

It's important to spice up your lessons. An online article discusses teaching strategies for AP® Calculus. In-class activities include matching games, placemats, multiple choice questions, scripted discussion, involuntary discussion,...

Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...

It's called a removable discontinuity for a reason. After reviewing the conditions for a removable discontinuity to exist, scholars watch an informative video to learn how to remove the discontinuity. They look at several examples...

Learning about continuity is a continuous process. An educational video first shows individuals the definition of continuity at a point. They see several examples on the topic and then investigate how to identify the types of...

Here's the antidote to ignorance on antiderivatives. Pupils try a set of problems that require finding the antiderivative. They choose from different techniques they already know to determine the indefinite integral or the definite...

In this calculus practice exam, students select the best answer to 28 multiple choice questions. Questions cover information from the entire year of calculus. A suggested time limit of 55 minutes is included.

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...

Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...

In this A. P. Calculus AB instructional activity, students solve seventeen multiple-choice problems with a graphing calculator.  This instructional activity is designed as a practice test for the A.P. Exam and should be timed.

Take a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...

Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...

An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...

Learners investigate the volume of a solid.  In this calculus lesson, students use integration to find the volume of a solid generated by a region, the Orion crew module. 

Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...

Learners calculate the maxima and minima of quadratic equations. In this calculus instructional activity, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the...

Learners investigate an article on local linearity. In this calculus lesson, students read about the application of math in the real world. They gain insight from the teachers view of how to teach and relate the topic to the real world.

Students identify and interpret how the Free Response questions are graded on an AP Exam. They also discuss coloring the included map, placing several examples on the board to determine the number of colors necessary to color each....

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...