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Practice Test: Vectors
In this vector worksheet, students find symmetric equations and the equation of a plane for given situations. They identify unit vectors and determine the distance between midpoints. This two-page worksheet contains 6 multi-step problems.
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Forces
In this forces worksheet, young scholars read about what affects the force on an object. Students identify push forces and pull forces in 5 diagrams. They answer 13 questions about the forces in two diagrams and they draw vector diagrams...
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Momentum
In this momentum worksheet, students answer 17 questions about momentum of objects. They calculate momentum given mass and distance traveled in a given amount of time and they use graphs of position vs. time to find momentum.
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Particle Models
In this particle model worksheet, students solve and complete 14 various types of problems. First, they find the magnitude of the side or the angle indicated with a question mark for each triangle illustrated. Then, students find the x...
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Genetic Technology
In this genetic worksheet, students will match 6 terms associated with gene engineering to their correct definition. Then students will complete a table indicating if the vector is mechanical or biological. Finally, students will...
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Vectors
Young scholars are introduced to the bridge building challenge. They perform two labs and work in small groups to finish the vector worksheet. Students review vector additions. They then move onto the Forces on an Inclined Plane Lab. ...
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Motion
Starting off with a definition of motion and some examples, this slide show goes on to describe different categories of movement. Terminology connected to this general physics topic is explained on subsequent slides. It is a good summary...
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First-Order Differential Equations and Vector-Matrix Systems
In this differential equation worksheet, students answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.
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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.Â
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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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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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Matrices and Vectors
In this matrices and vectors worksheet, students 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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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: Parametric Equations of Lines and Planes
In this parametric equation worksheet, students find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page worksheet contains examples, explanations and...
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Linear Systems: Orthogonality of Vector Spaces of a Matrix
In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
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Linear Systems: Projections
In this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Linear Systems: Linear Equations
In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.