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Applications of Derivatives: General Rules for Optimization

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

For Students 12th - Higher Ed
In this geometric interpretation learning exercise, learners prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page learning exercise contains explanations, examples, theorems and two problems for students...
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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 worksheet, 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 two-page...
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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 instructional activity, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page instructional activity contains approximately ten problems.
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Numerical Analysis: Discrete Least Squares

For Students Higher Ed
For 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 worksheet, 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 worksheet contains...
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Complex Analysis: Linear Fractional Transformations

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

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

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

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

For Students Higher Ed
In this extrema and optimization activity, 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 activity 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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Rate Equation

For Students 12th - Higher Ed
In this rate equation activity, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page activity...
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Nuclear Chemistry

For Students 9th - 12th
For this nuclear chemistry worksheet, learners solve nine decay problems. They determine what forms in each problem given the radioactive element.
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Implementation of Cubic Splines

For Students 11th - Higher Ed
In this math activity, students explore the implementation of Cubic Splines. They define the natural and clamped splines. Students also, use the Matlab to find the splines.
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Model Penguin Project

For Teachers Pre-K - K
Students research and build model penguins. In this penguin instructional activity, students examine the anatomy of penguins by creating models and completing coloring pages.
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Introduction to Community Helpers

For Teachers Pre-K - K
Students examine different types of community helpers. In this introduction to community helpers lesson, students discuss stories and view a PowerPoint presentation of students working as community helpers and defining the jobs.

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