What does the graph mean? Pupils view 10 graphs and determine whether they are possible based on their contexts. The contexts are distance versus time and profit versus time.

Students explore what happens when geometric figures are transformed on the coordinate plane. They work in pairs, moving geometric shapes in the plane, and formalize their rules as functions.

A reading of Mark Twain’s The Celebrated Jumping Frog of Calaveras County not only offers pupils an opportunity to practice their listening skills but also provides them with examples of dialectic speech. This is the gol’derndest lesson...

High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...

Students explore the concept of finding the area between two curves. In this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Students find functions to...

Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...

Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.

What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...

What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...

Pupils interact with six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.

Using the common errors and test taker responses, it's easy for teachers to see where to pinpoint instruction throughout the AP Calculus course. Pupils, using the released items, develop an understanding of how future exams assess the...

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....

Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...

Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and...

In this complex function worksheet, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page worksheet contains approximately seven equations.

Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...

Students engage in a lesson which addresses George Washington's leadership as President of the United States. They review a variety of letters written by Washington online, and prepare reports for the class.

In this area of regions worksheet, students determine the area of a region enclosed by a graph. They find the volume of a solid and write equations involving an integral expression for given conditions. This two-page worksheet contains...

Students discover that material and energy uses by a city come from outside the city boundaries. They realize that the pathway of these material is linear instead of cyclical as they are in natural ecosystems.

Tween find out what it means to give and get respect. After reviewing the Recipe for Relationships studied in a previous lesson, groups create a dramatization of two-minute scenario in which an individual behaves inappropriately in a...

In this sine and cosine worksheet, students find derivatives and integrals of 6 functions.  Students find derivatives, indefinite integrals and the area between two curves.

In this proofs worksheet, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.

Young scholars identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.

For this calculus worksheet, students use integration to calculate the solution of functions. They use the correct notation and formula to calculate where the derivative is constant. There are 10 questions.