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Math 155 - Fall 2005 Differentiation

For Students Higher Ed
In this differentiation instructional activity, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page instructional activity contains approximately 12 multi-step problems.
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Linear Systems: Applications of Eiginvalues

For Students 12th - Higher Ed
In this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.
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Related Rates

For Students Higher Ed
In this related rates worksheet, students are given various scenarios and determine the distance and rate of each situation. This two-page worksheet contains eight problems.
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Proper Nouns

For Students 3rd - 5th
In this classifying proper nouns worksheet, students read 12 sentences, identify the proper noun in each one, and then classify it as a person, place, or thing.
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A Birthday Basket for Tia

For Teachers Pre-K
Students practice reading and math skills using technology.  In this main idea lesson plan, students retell the important events of A Birthday for Tia in sequence using Kid Pix.  Students create a bar graph using The Graph...
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Applications of Derivatives: General Rules for Optimization

For Students Higher Ed
In this minima and maxima learning exercise, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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Numeral Analysis: Rate of Convergence

For Students 11th - 12th
In this rate of convergence worksheet, students use three different methods to compute an order of convergence of a function. This four-page worksheet contains approximately 10 problems, with examples.
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Linear Systems: Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this "Eigenvalues and Eigenvectors" worksheet, learners find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page worksheet contains two multi-step problems.
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Linear Systems: Geometric Interpretation of Eigenvalues

For Students 12th - Higher Ed
In this geometric interpretation worksheet, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page worksheet contains explanations, examples, theorems and two problems for students to solve.
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Linear Systems: Linear Equations, Vectors and Matrices

For Students Higher Ed
In this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...
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Examples of Integral Exchange Using Substitution

For Students 11th - Higher Ed
In this math worksheet, students find the solutions to the problems using the operation of substitution. Then they pay attention to relating this while further evaluating integrals.
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Analyzing Solutions Computed Using Euler's Method

For Students Higher Ed
In this analyzing solutions learning exercise, students use Euler's Method to estimate the value of given functions. They estimate solutions using the piecewise-linear function model and sketch the information onto a graph. This...
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Proper and Common Nouns

For Students 3rd
In this grammar worksheet, 3rd graders complete 12 multiple choice questions in which they find the noun in each group of three words. They write the common or proper noun on the blank line.
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Geometry Practice: G.G. 28 #2: Triangle Congruence

For Students 10th - 12th
In this triangle congruence worksheet, students use SSS, ASA, AAS and HL to determine the congruence of triangles.  They identify the theorem that proves congruence.  This three-page worksheet contains 4 multi-step...
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Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods

For Students Higher Ed
In this root-finding worksheet, students rank numbers in asymptotic order. They identify and discuss the roots of the original function. This four-page worksheet contains approximately 10 problems.
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Numerical Analysis: Introduction to Root Finding

For Students Higher Ed
In this introduction to root finding worksheet, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page worksheet contains approximately ten problems.
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Numerical Analysis: Discrete Least Squares

For Students Higher Ed
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
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Numerical Analysis: Successive Over-Relaxation for Linear Systems

For Students Higher Ed
In this successive linear systems activity, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page activity contains approximately...
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Complex Analysis: Linear Fractional Transformations

For Students Higher Ed
In this transformation instructional activity, students explore linear transformations and mappings. They map equations on a coordinate plane. This two-page instructional activity contains approximately three problems.
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
For this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
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Multivariable Calculus: Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
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Linear Systems: Fundamental Theorem of Linear Algebra

For Students 11th - Higher Ed
In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Basic Calculus: Extrema, and Optimization: Putting it all Together

For Students Higher Ed
For this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...
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Epidemic or False Alert?

For Students Higher Ed
In this rate worksheet, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page worksheet contains...

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