Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.

In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.

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...

In this frames of reference worksheet, students solve 5 problems given the details of a journey an ant takes from the center of a CD ROM to its edge. Students draw a scaled sketch of the turntable showing the motion of the ant from...

For this ion rocket and orbits worksheet, students read about the spiral orbit the Dawn spacecraft took due to its ion rocket motor. Students solve 3 problems including finding the path taken by the spacecraft, determining the total path...

Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...

Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...

Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...

Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...

See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...

Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This assignment...

A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...

Rumours of illness, poisoning, and madness - a ship disappears without a trace! Read this interactive science story and use deductive reasoning skills to solve a mystery. This engaging resource gives science stars a chance to practice...

Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...

Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...

For this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.

This site explains the arc length. The site has links to related topics and examples.

Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...

Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.

Use the TI-89 to find the area between curves, find arc length, and solve first and second order differential equations. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the...

Good site with many of the elliptic functions given.