Carryout the lesson to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They...

Falling off a bridge might not sound like your idea of a good math problem, but incorporating the final scene of Les Misérables is sure to spark interest. The goal is to use the time Javert fell off the bridge to determine how...

Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...

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...

Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...

How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...

Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge?  Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player...

Help learners determine the rate of change for the temperature of sand. They will collect data on the temperature of wet and dry sand over time with a heat lamp overhead. Then make a scatter plot of the data and find a linear model to...

Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...

Students calculate the rate of change. In this algebra lesson, students identify the slope and discuss the different properties of lines as they relate to rate. A discuss doubling time, zero slope and being in two places at once.

In this derivatives worksheet, learners identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page worksheet contains 6 multi-step problems.

In this Newton's Law of Cooling worksheet, students complete an essay format write up of a convection model. They write the purpose and assumptions of their lab. Students complete three rate of change problems. They describe a model in...

For this rates worksheet, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.

In this activity, students' will use a motion detector to record distance and velocity versus time information for a walker. They find the area under the velocity versus time graph and compare it to the actual distance traveled by the...