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Average and Instantaneous Velocity

For Students Higher Ed
In this velocity activity, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page activity...
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Sounds of the Wetlands

For Teachers 5th - 7th
Learners identify the sounds of different bird calls. In this biology lesson, students create a sound map. They explain how this method is important in tracking wildlife.
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Numerical Analysis

For Students Higher Ed
In this numerical analysis learning exercise, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page learning exercise contains eight problems.
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Numerical Analysis: Nonlinear Equations

For Students Higher Ed
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
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Complex Analysis: Harmonic Functions

For Students Higher Ed
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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Complex Analysis: Polynomial Equations

For Students Higher Ed
In this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
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Linear Systems: Matrix Inverse

For Students 11th - Higher Ed
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
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Linear Systems: Applications of Determinants

For Students 12th - Higher Ed
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: Vector Spaces and Subspaces

For Students 12th - Higher Ed
In this vector space worksheet, learners find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
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Linear Systems: General Solutions

For Students 11th - Higher Ed
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
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Linear Systems: Linear Equations

For Students 11th - Higher Ed
In this linear systems instructional activity, students use a matrix to represent linear systems. This four page instructional activity provides examples, explanations and approximately eight problems to complete.
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Linear Systems: Orthogonality of Subspaces

For Students Higher Ed
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
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Linear Systems; Permutations and Transposes

For Students Higher Ed
In this permutations activity, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page activity contains six problems.
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Linear Systems: Gauss-Jordan Elimination

For Students Higher Ed
In this Gauss-Jordan worksheet, students use the Gauss-Jordan method to find an identify matrix. This two-page worksheet provides examples, explanations and two practice problems.
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Linear Systems: The Inverse Matrix

For Students Higher Ed
In this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
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Errors in Riemann Sums

For Students Higher Ed
In this Riemann Sums activity, students use the Riemann Sums method to approximate the area under the curves. This two-page activity contains three problems.
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Numerical Integration

For Students 11th - Higher Ed
For this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
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Infinite Series

For Students 11th - Higher Ed
In this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Introduction to Substitution

For Students 11th - Higher Ed
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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Derivatives of Elementary Functions

For Students Higher Ed
In this derivatives activity, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
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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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Euler's Method

For Students Higher Ed
In this Euler's method instructional activity, students use Euler's method to determine one-second time intervals in a rate problem. They explore functions to estimate rate changes in small time intervals. This two-page instructional...
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Contractions

For Students 2nd - 4th
For this contractions worksheet, students print the contraction for 3 sets of 2 words and then print the 2 words that mean the same for 3 additional contractions. Students choose their answers from the 2 word banks provided.

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