Interactive
CK-12 Foundation

Properties of Definite Integrals

For Students 11th - Higher Ed
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....
Interactive
Curated OER

The Method of Integration by Parts

For Students 11th - 12th
In this calculus instructional activity, students 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.
Interactive
Curated OER

The Method of Integration by Partial Fractions

For Students 9th - 10th
In this calculus worksheet, students 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.
Interactive
Curated OER

The Limit Definition of a Definite Integral

For Students 11th - 12th
In this calculus activity, 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.
Interactive
Curated OER

Passive Integrator and Differentiator Circuits

For Students 10th - Higher Ed
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.
Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
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...
Interactive
Curated OER

Categorize Twelve Integrals

For Students 11th - Higher Ed
In this integral worksheet, students categorize the given twelve integrals to determine which of the four basic integral functions provided each follows.
Interactive
CK-12 Foundation

Work and Force: Lifting a Bucket

For Students 11th - Higher Ed
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...
Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
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....
Interactive
CK-12 Foundation

Method of Cylindrical Shells

For Students 11th - Higher Ed
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...
Interactive
Curated OER

The Method of U-Substitution

For Students 9th - 10th
In this calculus worksheet, students solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.
Interactive
Curated OER

Word Problems

For Students 10th - 11th
In this calculus worksheet, learners 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.
Interactive
Curated OER

Review of Calculus

For Students 12th
In this calculus worksheet, 12th graders solve problems that cover a variety of topics, including limits, derivatives, integrals, and problem solving.  The one page interactive worksheet contains forty-eight questions and is self...
Interactive
Curated OER

Review of Calculus BC II

For Students 11th - 12th
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page...
Interactive
CK-12 Foundation

Differential Equations Representing Growth and Decay: Rice Legend

For Students 11th - Higher Ed
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...
Interactive
CK-12 Foundation

Trapezoidal and Midpoint Approximations: Area of a Skirt

For Students 11th - Higher Ed
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...
Interactive
CK-12 Foundation

Length of a Plane Curve

For Students 11th - Higher Ed
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...
Interactive
Curated OER

Linear Computational Circuitry

For Students 11th - Higher Ed
In this electrical worksheet, students draw a schematic design circuit board to grasp the understanding amplification in linear circuitry before answering a series of 35 open-ended questions pertaining to a variety of linear circuitry....
Interactive
Curated OER

Inductance

For Students 10th - Higher Ed
In this inductance worksheet, students answer 20 questions about magnetic fields as they relate to inductors, inertia, transistors, and the flow of current through circuits.
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Interactive
Interactive Mathematics

Interactive Mathematics: Millionaire Calculus Game

For Students 9th - 10th
This interactive game imitates the famous "Millionaire" game show and allows students to test there calculus knowledge. It requires that you really know your calculus and is a fun way to test yourself.
Interactive
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Numerical Integration Utility

For Students 9th - 10th
The integration tool integrates and graphs functions that student enter into the tool. The tool uses the trapezoidal rule, Riemann sums, and Simpson rule to integrate the function.

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