Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....

In this divergence and surface integrals worksheet, students explore given vector fields and calculate the divergence and surface integrals of given functions. This one-page worksheet contains 5 multi-step problems.

For this trigonometry worksheet, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.

For this integral worksheet, students solve ten integrals to discover the clues helping them identify the secret numbers.  Students should have knowledge of trigonometric integrals in-order to complete this worksheet. ...

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.

In this calculus worksheet, learners perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.

In this calculus worksheet, learners solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.

In this calculus learning exercise, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.

Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...

In this integral worksheet, students categorize the given twelve integrals to determine which of the four basic integral functions provided each follows.

In this circuits worksheet, students answer 25 questions about passive integrator circuits and passive differentiator circuits given schematics showing voltage. Students use calculus to solve the problems.

How much work does it take to lift a bucket? An interactive presents a problem of lifting a bucket from the ground to the top of a building. Using their knowledge about work and integrals, pupils calculate the amount of work required to...

Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....

Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...

In this calculus worksheet, students solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.

The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...

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...

Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...

For this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.

Scientists know wind is a renewable resource, but is it an efficient one? Scholars adjust the propeller diameter on a wind turbine, the wind speed, and the conversion efficiency within range to learn about the efficiency of these...

Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...

Caesar ciphers hide secret missives. A simple interactive lets users encode and decode hidden messages. The cipher method here is the Caesar shift.

Let coordinate pairs show you the way home. Scholars plot houses on a coordinate plane with given coordinates using an interactive app. Alternatively, they can identify the coordinates of houses already plotted on a coordinate plane.

Avoid the mines and win the game! Young scholars direct a robot through a minefield by plotting points. Their goal is to reach the target in as few moves as possible.