When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...

Imagine being stranded all alone on an island for 18 years. How would you survive? Class members are challenged to makes necessities out of natural materials that would likely be found on an island.

In this math activity, students practice reading the examples of integrating special functions. The examples have the formulas included.

In this integration worksheet, students evaluate the divergence or convergence of improper integrals. They explain limits of functions. In this one-page worksheet, students solve six multi-step problems.

Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...

Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...

Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.

U is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals.

Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...

After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...

Sketch graphs with the Graph Sketcher. Scholars graph functions on a coordinate plane. An interactive makes it as easy as inputting the function and clicking a button.

Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written instructional activity. Learners decide the type of graph represented based on the differences in the function...

Was it overreach or wise executive functioning? Scholars have long debated Franklin Roosevelt's court-packing scheme when he attempted to stack the court with justices friendlier to his New Deal measures. Now, learners pick up the...

Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...

In this definite integrals worksheet, students find the definite integrals of 16 functions.  Students find definite integrals for a given interval in order to find the name of Maxwell Smart's partner.

In this integration learning exercise, students integrate 16 functions. Students take the integral of functions using partial fractions and uv substitution.

For this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.

Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...

Balancing money and first-time roommates can feel like a daunting prospect. Support your class members in understanding how financial agreements between roommates function, as well as the underlying importance of how to communicate about...

Connect the points to create a function. Using points given by the applet, pupils try to connect them to create a line that would pass the vertical line test. The resource keeps track of the number of sets the learner is able to identify...

In this integral test worksheet, students use the integral test to determine the upper and lower bounds for a given function. They identify the convergence of a series. This one-page worksheet contains four multi-step problems.

In this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.

Although this legislative process instructional activity is designed to accompany a specific text, it is valuable independently. Young learners participate in a picture walk (worksheet included) through My Senator and Me:...

Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.