Lesson Plan
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Sitting on Nails-Boyle's Law

For Teachers 9th - 11th
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.
Lesson Plan
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Running with Momentum

For Teachers 11th - Higher Ed
Learners 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.
Lesson Plan
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Sailing Through Bernoulli

For Teachers 7th - 8th
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.
Lesson Plan
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Magnetic Field Activities

For Teachers 9th - 12th
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...
Lesson Plan
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How to be a Great Navigator!

For Teachers 6th - 8th
Students 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 their...
Worksheet
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Transformations

For Students 11th - 12th
In this algebra worksheet, students identify different transformations based on the x and y axis reflections. They use vectors to do their translations. There are 28 questions.
Interactive
PHET

Gravity And Orbits

For Teachers 6th - 12th Standards
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....
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Vectors

For Teachers 3rd - 12th
Students use both magnitude and direction to locate a place. They use locating techniques to make a temperature field of their classroom.
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How to be a Great Navigator!

For Teachers 6th - 8th
Students, through teacher lecture and class discussion, explore historical methods of navigation: dead reckoning and celestial navigation.
Lesson Plan
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Pendulum Motion Experiments

For Teachers 9th - 12th
Learners 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, learners observe the...
Worksheet
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Support Forces and Equilibrium Worksheet

For Students 9th - 12th
In this equilibrium learning exercise, students complete 10 multiple choice and fill in the blank questions about mechanical equilibrium and the support forces involved.
Worksheet
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Linear Systems: Independence, Basis and Dimension

For Students 12th - Higher Ed
In this basis and dimension instructional activity, students explore vector spaces associated with rectangular matrices. The two-page instructional activity contains approximately 20 short answer questions.
Lesson Plan
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Dimension and Rank

For Teachers 10th - 12th
Students determine the dimension of a subspace.  In this dimension and rank activity, students explore the dimension of a vector space.  They compare and explore the relationship in a matrix. 
Worksheet
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Linear Systems: Orthogonal Matrices

For Students 11th - Higher Ed
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...
Worksheet
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Multivariable Calculus: Bonus Quiz 6

For Students Higher Ed
For 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...
Lesson Plan
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Musical Plates

For Teachers 7th - 8th
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...
Worksheet
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Complex Analysis: Graphical Representations

For Students Higher Ed
For 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.
Worksheet
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Math 212: Path Integrals

For Students Higher Ed
In this integral worksheet, students identify a vector field and explore line integrals. Students use the Fundamental Theorem for path integrals to solve problems. This two-page worksheet contains three problems.
Worksheet
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Multivariable Calculus/ Bonus Quiz 11

For Students 11th - Higher Ed
In this math worksheet, students practice finding the solutions to the problems that focus upon the differential operators of vector fields.
Lesson Plan
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Prairie Dog Prognosis

For Teachers 6th - 12th
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.
Lesson Plan
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Momentum And Colliding Spheres

For Teachers 9th - 12th
Students explain that mass times velocity equals momentum. They investigate the impacts of collisions and their results and determine the vector of an incident.
Lesson Plan
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Momentum

For Teachers 9th - 12th
Students 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.
Lesson Plan
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Understanding Computer Images

For Teachers 9th
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.
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Cracking the Code - Cloning Paper Plasmid

For Teachers 10th - 11th
Students explore the "genetic code." They observe how genes may be manipulated for genetic research, gene cloning, and genetic engineering. In a lab setting, students examine the mechanics involved in cutting and ligating DNAs into a...

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