Curated OER
Walking on Water
Students use this problem to help them to relate to force vectors: Suspend a meterstick horizontally between two tables. Place a 1kg mass in the middle of the meterstick. Notice the bend of the meterstick. Explain why the meterstick...
Curated OER
Science: Vectors
Students solve vector problems and identify the x and y coordinates. They determine if the coordinates are positive, negative, or zero. Students solve problems and convert the x and y coordinates to magnitude and direction.
Curated OER
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 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.
Curated OER
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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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 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 2
In this math worksheet, students plot the course for a ship traveling from one point to another using two Cartesian coordinates. Then they plot the vector of the course.
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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 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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Introduction to Linear Algebra 1.3
In this linear algebra worksheet, students write down the system that arises from the vector equation stated. Then they apply the Gaussian elimination method to solve their system. Finally, students explain their conclusion and answer...
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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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Convolution
In this circular convolutions worksheet, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then, students find...
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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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Least Squares
In this least squares worksheet, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
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Lengths and Dot Sequences
In this math worksheet, students examine the process of multiplying vectors to find their products. They practice finding the geometric and algebraic views for the solutions.
EngageNY
Sequencing Translations
Investigate the results of multiple translations on an image. Scholars use vectors to perform a sequence of translations in the seventh lesson of 18. They examine the results and determine the importance of using a sequence rather than a...
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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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Worksheet 12
In this math activity, learners explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.
Curated OER
Quaternions
In this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...
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Trigonometric Functions
In this trigonometric worksheet, students examine trig functions dealing with directions and decide whether the functions are linear or not. There are 13 matrices to be analyzed with an answer key.
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General Solution to Ax=b
In this math worksheet, learners practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
EZ Task
Forces
Investigate force, acceleration, Newtons, and vectors with this instructional activity packet that starts with an overview fact sheet for reference. Learners label images as either push or pull forces, indicating if the force causes a...
Curated OER
Worksheet 35
In this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the illustrations.
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