The split is 50-50. Released free-response questions from the 2016 AP Calculus BC show that half the questions are from the AB portion of the course and the others are from the BC portion. Teachers and pupils use the items to prepare and...

Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....

For this convergence worksheet, students compute improper integrals. They use the comparison test or the absolute convergence test to prove convergence. Students find the area of a region bounded by graphs. This one-page worksheet...

Test your students with this integrals quiz, which prompts students to evaluate five indefinite integrals. The final problem directs students to solve two ways: first, they evaluate using u-substitution, then, integration by parts.

In this divergence and convergence worksheet, students complete a comparison test for improper integrals. This four-page worksheet contains approximately ten problems.

In this convergence or divergence worksheet, students perform tests for convergence or divergence. They estimate the sum in a series and determine the value of the convergent series. This one-page worksheet contains three problems.

Students use the scientific method to conduct an experiment to test how a ball bounces. In this inquiry-based physical science and scientific method lesson plan, students drop a ball from specified heights and record the rebound, then...

In this algebra worksheet, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.

Looking for authentic hands-on nutritional experiments? High schoolers will perform experiments to test for the presence of vitamin C in several solutions as well as the effect of caffeine on Daphnia. They will also consider the...

The six instructional shifts in this workshop definitely move math and science teachers' understanding of instruction. The workshop, 13th out of a series of 15, asks participants to examine sample tests and to look at how the six...

Cell membranes and the factors that affect its integrity are studied, with Beet tissue used as the model. A poster to display findings of the permeability of the membranes would clarify understanding and also allow a layer of language...

Learners make predictions and draw conclusions from given information as they learn the meaning of probability in this vocabulary-rich, integrated activity that presents a variety of teaching strategies to motivate and reach...

Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...

Develop a deeper understanding of calculus. The released item and support materials allows teachers and pupils to dig deeper into calculus topics. Scholars use the commentary and descriptions of the items to gain a better understanding...

Given a set of questions, pupils realize the way the Calculus BC free-response exam asks questions. The items include both contextual and non-contextual questions. Both types are split into the calculator and non-calculator sections for...

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...

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...

From the trade of the colonial era to the Clean Water Act, water has shaped American history. Class members unpack how water affected the American story using primary sources that span events including the Lewis and Clark expedition to...

Geography has played a complex role in America history. The Atlantic Ocean has served as a buffer to protect the United States from European Wars, but its proximity to Cuba, however, left it vulnerable to nuclear war during the Cuban...

How are chemical bonds similar and how are they different? Provide your young chemists with the resources to more thoroughly understand the concepts of ionic and covalent bonds. Pupils research these topics, diagram examples of each...

It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...

While the United States is now one of the strongest countries in the world, at its founding, it was plagued by controversies over the ratification of the Constitution, the Louisiana Purchase, and the expansion of slavery. Using a...

Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...