Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...

Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...

This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...

There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...

Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...

Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...

Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...

Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...

What do a zoo, snow, and a moving particle have in common? The six free-response items from the 2010 AP® Calculus BC exam allow teachers and pupils see how items may show up in context. Three of the questions are from only the BC portion...

There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...

Peek behind the curtain. Using a helpful resource, teachers and pupils see the way concepts appear on the AP® Calculus exam. Scholars use the questions to prepare for their own exams, gaining quality practice before test day. Questions...

Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...

Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 

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®...

For this evaluating limits worksheet, students solve and complete 20 various types of problems. First, they determine the highest power of x in the function. Then, students divide both the numerator and the denominator by that power....

In this evaluating limits worksheet, students solve and complete 14 different types of problem. First, they determine the highest power of x in the function. Then, students divide both the numerator and the denominator by that power....

In this evaluating limits worksheet, students solve and complete 20 different types of problems. First, they determine the highest power of x in the function. Then, students divide both the numerator and the denominator by that power. In...

For this graphing functions worksheet, students solve and complete 25 various types of problems. First, they evaluate each of the limits presented. Then, students graph each given function, graphing both the equation and then the...

In this trig functions instructional activity, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They...

Students analyze data algebraically. In this calculus lesson, students determine the limit based on the 3 properties of limits. They identify the domain and range of each function.

In this senior analysis worksheet, students identify the solution set of given functions. They evaluate limits. create a table of values for a given function and plot the values. This two-page worksheet contains 12 multi-step problems....

In this graphing functions instructional activity, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.

In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...

In this inverse function activity, students determine the inverse function and identify the limits of given functions. This two-page activity contains four problems.