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Math 212: Planes
In this planes worksheet, students consider the position of given vectors and find the vector equation of a plane. They identify the points that lie on a plane and determine the equation of a line through given points. This two-page...
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Complex Analysis: Polar Form
In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...
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Worksheet 30
In this math worksheet, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
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Worksheet 31
In this math worksheet, students investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.
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Worksheet 21
In this math worksheet, students draw two vectors u and v based at the same point. The vectors are considered neither parallel nor orthogonal.
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Worksheet 23
In this math worksheet, students define the sets of vectors. They also observe the concept of area for the parallelogram and how vectors are used.
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Worksheet 20
In this math activity, students investigate the given vectors. Then they apply the knowledge to prove the formula for the triangle formed by them.
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Worksheet 23 Spring 1996
In this math worksheet, students fill in the missing boxes while investigating the concept of vectors. They determine if two vectors are orthogonal or parallel.
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Worksheet 37
In this math worksheet, students examine the similarities between three-dimensional geometric vectors and Fourier series. Then they write proofs for some of the equations.
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Worksheet 21 Spring 1996
In this math learning exercise, learners consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Worksheet 25- Spring 1996
In this math instructional activity, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
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Newton's Third Law
Students describe an everyday situation which demonstrates Newton's Third Law. They state Newton's Third Law;"Every action has an equal and opposite re-action, or every force has an equal and opposite force" in their own words. ...
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Running With Momentum
High schoolers discuss the conservation of momentum in a collision between two bumper cars. They are given the equation for momentum. Students then solve problems using the equation for momentum.
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Hang Time
Students simulate the motion of a fly ball with different winds. They use a partner to provide the simulated wind. Students draw a baseball diamond and the field on a piece of paper. They drag the pen across the paper to show the path of...
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Navigation Across the Seas
Students examine nautical navigation and discover the differences between nautical charts and other types of maps or charts. Students practice setting a course, taking a bearing, and dead reckoning. This gives students an example of...
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Support Forces and Equilibrium Worksheet
In this equilibrium activity, students complete 10 multiple choice and fill in the blank questions about mechanical equilibrium and the support forces involved.
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One Matrix and Two Vector Problems
In this matrix and vector worksheet, young scholars find elementary matrices in one problems and show whether vectors and linearly independent or dependent in two problems.
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Vectors
Young scholars differentiate distance and displacement. In this physics lesson, students use formulas to calculate for displacement. They draw vectors using the grid.
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Linear Independence, Bases and Coordinate Systems
Students define vocabulary related to vectors and investigate vector problems. In this math lesson, students define basis and explore plotting vectors in correlation to their basis. Plotting polynomials facilitates student understanding.
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Vectors!
Students engage in a lesson that is concerned with the vectors found in various types of situations. They practice solving problems in a variety of situations that are set in real life contexts. Then students follow the experiment that...
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Vectors
Students describe motion by the use of adding vectors. They identify the difference between the x and y components of vector quantities. Students are given the Paper Bridge Building handout and the instructions as to where to perform...
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Sailing Through Bernoulli
Pupils 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.
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Running with Momentum
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.
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Pendulum Motion Experiments
High schoolers 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, high schoolers...