In this interpolating function worksheet, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...

Students experience pressure as a force per unit area in this experiment with a board of nails. In this physics lesson, students discover Boyle's law as they perform experiments with pressure.

Students discuss the conservation of momentum in a collision between two bumper cars and an explosion between a bullet and the rifle's kickback, as well as collisions occurring in 2 dimensions and how they are all expressed mathematically.

Students participate in a class discussion about Bernoulli's principle while looking at cross-sections of an airplane wing, and discussing the sail on a sailboat and the spoiler on a race car.

Students explore the idea of magnetic field through investigations of magnetic fields as produced by various common magnetic materials and direct currents. They study the vector nature of fields, the ubiquity of field sources in the...

Middle schoolers examine historical methods of navigation. They discuss the techniques of "Dead Reckoning," "Heaving the Log," and "Chip Log," pretend to sail from Europe to North America using vectors and determine the location of...

In this algebra activity, students identify different transformations based on the x and y axis reflections. They use vectors to do their translations. There are 28 questions.

Have you ever wanted to turn off gravity? This simulation allows learners to do just that in addition to altering other variables. Scholars can move the sun, Earth, moon, and space station to see how distance affects gravitational pull....

Students use both magnitude and direction to locate a place. They use locating techniques to make a temperature field of their classroom.

Middle schoolers, through teacher lecture and class discussion, explore historical methods of navigation: dead reckoning and celestial navigation.

Students experiment with simple pendulums to determine the validity of an equation for all angles. Students discover the usefulnes and limitations of approximations in science. Using spreadhseets and a java applet, students observe the...

In this equilibrium worksheet, learners complete 10 multiple choice and fill in the blank questions about mechanical equilibrium and the support forces involved.

In this basis and dimension activity, students explore vector spaces associated with rectangular matrices. The two-page activity contains approximately 20 short answer questions.

Young scholars determine the dimension of a subspace.  In this dimension and rank lesson, students explore the dimension of a vector space.  They compare and explore the relationship in a matrix. 

In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...

In this gradient operator and gradient fields worksheet, students determine if two vectors are gradient fields. They solve for the appropriate scalar functions of a vector variable. Students show that the gravitation al force exerted on...

Students receive current data on the movement of plates on the earth's crust. These plates shift and the magnitude of their shift over time can be tracked. They track this velocity vector on a global map and determine the speed of the...

In this graphical representation worksheet, students draw an Argand diagram depicting complex numbers. They draw in vectors that represent complex numbers. This three-page worksheet contains approximately ten problems.

In this integral activity, students identify a vector field and explore line integrals. Students use the Fundamental Theorem for path integrals to solve problems. This two-page activity contains three problems.

In this math instructional activity, students practice finding the solutions to the problems that focus upon the differential operators of vector fields.

Students discuss the transmission of diseases from exotic pets to humans. They research different aspects of particular zoonotic diseases from the perspectives of the animal vector, the parasite, the infected human, and the carrier human.

Students explain that mass times velocity equals momentum. They investigate the impacts of collisions and their results and determine the vector of an incident.

Learners learn the concepts of momentum and its conservation, using the recoil of a cannon as an example. They examine how momentum is a vector, allowing its conservation to be applied to problems in 2 and 3 dimensions.

Ninth graders explain differences between bitmapped images and vector images. They calculate pixels and transpose the raw file size to bits, bytes, and kilobytes. They compare formats for displaying images on a Web page.