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Calculus Cryptogram
In this calculus instructional activity, students solve an intriguing cryptogram addition puzzle comprised of calculus vocabulary words. There is 1 cryptogram and solution.
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Complex Numbers
In this algebra activity, students solve complex numbers using multiplication and division properties. There are 10 questions with an answer key.
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MA 371 Homework 1: Vectors
For this vectors worksheet, students solve 7 short answer problems. Students find vectors that are orthogonal. Students solve systems of equations by converting matrices into reduced row echelon form.
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Sciences Working Together
Young scholars research articles about science technology and society. In this science and technology instructional activity, students answer questions about an article they chose. They share what they learned with their peers.
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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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Linear Systems: Vector Spaces and Subspaces
In this vector space learning exercise, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page learning exercise contains approximately six multi-step...
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Multivariable calculus: Partial Derivatives
In this partial derivative instructional activity, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page instructional activity contains five problems.
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Linear Systems
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
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Intuitive Notion of Dilation
In this dilation worksheet, students identify pictures of a dilation. They determine the scale factor and length of missing sides. This one-page worksheet contains ten problems.
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Eigenvalues, Eigenvectors, and Diagonalization
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
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Linear Equations and Matrices
Young scholars solve systems of equations. In this precalculus lesson,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.
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Build a Block Model
Students construct a block model of the Space Station. They develop a description of their procedures, complete flow diagrams of their processes, develop a budget, and present their block model to the class.
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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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Worksheet 11
For this math worksheet, learners find the vector parametric equation and symmetric equations for the line using two coordinate points.
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Worksheet 31 - Spring 1996
In this math worksheet, students read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.
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Worksheet 21 Spring 1996
In this math activity, students 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 22
In this math worksheet, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.
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Numerical Analysis: Polynomials
In this polynomial worksheet, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page worksheet contains approximately six problems.
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Complex Analysis: Analyticity and Harmonic Functions
In this harmonic function learning exercise, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page learning exercise...
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Complex Analysis: Harmonic Functions
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
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Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
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Linear Systems: Independence, Basis and Dimension
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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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 and Linear Systems
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
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