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Vocabulary Building Activity
In this vocabulary worksheet, students write words their teacher says, unscramble words, and match words to the word given to them that is spelling correctly. Students complete 5 words for each activity.
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Linear Systems: Applications of Determinants
In this determinant worksheet, students explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems learning exercise, 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...
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors activity, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page activity contains...
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Linear Systems: The Inverse Matrix
In this inverse matrix instructional activity, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page instructional activity contains explanations, examples and...
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Applications of Derivatives: Finding Maxima and Minima
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
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Numerical Analysis/ Floating Point Numbers and Round-O Error
In this math learning exercise, students examine the examples using the concepts of floating point numbers and round off error. Then they compute the data for the given functions.
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Numerical Analysis: Systems of Linear Equations
In this linear equation worksheet, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page worksheet contains approximately three problems.
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Numerical Analysis: Solving Linear Equations
In this linear equation worksheet, students compare methods to solve linear equations. This four-page worksheet contains approximately five questions.
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Numerical Analysis: Rates of Convergence
In this rates of convergence worksheet, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page worksheet contains examples and six...
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Numerical Analysis: Machine Representation of Numbers
In this machine representation of a number worksheet, high schoolers explore definitions such as floating-point, round-off error, binary representation of a number, mantissa, and sign bit. They identify significant digits and determine...
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Complex Analysis: Harmonic Functions
In this harmonic function learning exercise, students explore harmonic functions and construct a harmonic conjugate. This three-page learning exercise contains three problems, with explanations and examples.
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Linear Systems: LU Decomposition
In this LU decomposition worksheet, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page worksheet contains approximately six problems.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors learning exercise, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page learning...
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The Column Space of a Matrix
For this math worksheet, students find the answers to the problems that are related to using a matrix. They group the numerical values with the matrix.
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The Nullspace of a Matrix
In this math learning exercise, learners read the definition for the nullspace of a matrix. The definition is used to find the solutions to new problems.
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Linear Systems: The Nullspace Matrix and Rank
In this nullspace worksheet, students identify the rank and nullspace in a matrix. They compare the nullspace and column space of given matrices. This two-page worksheet contains examples, explanations and five problems.
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Projections of a Vector Onto a Subspace
In this math instructional activity, students practice reading the examples of a vector onto a subspace. They also examine the projection matrix.
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General Solution to Ax=b
In this math worksheet, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
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Linear Systems: Orthogonality of Subspaces
In this subspace instructional activity, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page instructional activity contains explanations, examples, and...
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Linear Systems: Eigenvalues and Eigenvectors
In this eigenvalues activity, students find the eigenvalues and eigenvectors of a given matrix. This two-page activity contains examples, explanations and two practice problems.
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Basic Calculus II: Fundamental Theorem of Calculus
In this fundamental theorem learning exercise, students find the antiderivative of a function. This two page learning exercise contains five multi-step problems.
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Introduction to Substitution
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Accumulation Functions and Definite Integrals
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...