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Vectors
In this Pre-Calculus worksheet, students determine if a set of vectors is linearly dependent or linearly dependent and if it is linearly dependent, express one of the vectors as a linear combination of the others. The one page worksheet...
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Sled Kites and Trigonometry
Pupils study the history of kites and their fundamental properties. In this kites lesson students divide into teams and build and fly kites.
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Introduction to Vector Spaces
In this vector spaces learning exercise, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page learning exercise contains 13 problems.
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Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and...
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Writing Vectors
For this vectors worksheet, students draw 15 vectors using a given key with direction and measurement. Students are given a specific distance and direction for each vector to draw.
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Adding Vectors
In this vector worksheet, students solve 6 problems. They are given two drawn lines labeled vector 1 and vector 2. Students draw the resultant vector.
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Adding Vectors
For this vector worksheet, students solve ten problems given vector directions in kilometers for two distances. They use a given key that 1 cm=1km.
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Adding Vectors
In this vectors worksheet, students solve 8 problems given each vector in kilometers and their degree. Students indicate the magnitude and direction of the resultant vector.
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Adding Vectors
In this vector worksheet. students solve six vector problems. In four of the problems kids add three vectors together to get the resultant vector and in two of the problems students add four vectors together to get the resultant vector.
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Convolution
For this convolution worksheet, students solve 8 different problems related to convolution. First, they determine the formulas for eight samples of f and g. Then, students write out the matrix found. In addition, they define the...
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More on Least Squares
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
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The Haar Wavelet Filter Bank
In this Haar Wavelet learning exercise, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second...
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Circular Convolution
In this circular convolution worksheet, students solve and complete 6 different problems related to determining the circular convolution. First, they plot a point and describe its effect of convolution with high and low frequencies....
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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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Matrices and Vectors
In this matrices and vectors worksheet, learners solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Working with Wavelets
In this working with wavelets instructional activity, students solve 7 various problems that include working with different wavelets in each. They compute the synthesis given two segments and y, describing what they observe. Then,...
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Matrix Operations
In this matrix operations worksheet, students solve 3 different sets of problems that include matrix operations. They solve each matrices and explain the relation between the computed matrices in each problem. Then, students prove or...
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Alignment of a Solar Panel: Dot and Cross Products
In this dot and cross product learning exercise, students identify vector points under given conditions determine vertical support and determine angles of an object. This two-page learning exercise contains two problems.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page worksheet contains...
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Linear Systems: Review of Vectors
For this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
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Multivariable Calculus: The Gradient
For this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...
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Math 224 Spring 2004: Vectors
In this vector learning exercise, students find the coordinates of a midpoint and compute the vector equation of a line. This two-page learning exercise contains four problems.
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Multivariable Calculus: Dot Product
In this dot product learning exercise, students identify the properties of the dot product. They sketch vectors and obtain expressions for diagonals. This two-page learning exercise contains examples and explanations with two problems.
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Multivariable Calculus: Introduction to Vectors
In this vector worksheet, students find the length of vectors and the distance between two points. This two-page worksheet contains examples, definitions, and explanations, as well as two problems.