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Linear Systems: Graphical Interpretation of Vectors

For Students Higher Ed
In this graphical interpretation of vectors instructional activity, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page...
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Linear Systems: Elimination

For Students Higher Ed
In this elimination worksheet, students use the elimination process to transform a system into an equivalent form. This three-page worksheet contains three practice problems as well as examples and explanations.
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Lengths and Dot Sequences

For Students 11th - Higher Ed
In this math learning exercise, students examine the process of multiplying vectors to find their products. They practice finding the geometric and algebraic views for the solutions.
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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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Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math instructional activity, learners find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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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 Review for Exam 1

For Students 11th - Higher Ed
In this math instructional activity, students practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.
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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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Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
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Elimination: Using Matrix Operations

For Students 11th - Higher Ed
In this math worksheet, students practice using a matrix with the method of elimination to find the solutions. They practice using matrix multiplication.
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Introduction to Taylor Series

For Students Higher Ed
In this Taylor series worksheet, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page worksheet contains seven problems.
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Applications of Taylor Polynomials

For Students 11th - Higher Ed
For this math worksheet, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.
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Errors in Riemann Sums

For Students Higher Ed
In this Riemann Sums worksheet, students use the Riemann Sums method to approximate the area under the curves. This two-page worksheet contains three problems.
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Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page worksheet contains ten problems.
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Properties of the Definite Integral

For Students Higher Ed
In this definite integral worksheet, students explore the relationship between integrals and examine the properties of the definite integral. This two-page worksheet contains six problems.
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Accumulation Functions as Antiderivatives

For Students Higher Ed
In this accumulation functions worksheet, students describe the graph of an accumulation function for a constant function. Students describe the link between the slope of the graph of the accumulation function and the value of the function.
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Graphing Accumulation Functions

For Students Higher Ed
In this accumulation function worksheet, students find the graphical relationship between two functions. They describe the relationships between the graphs of a function when accumulation begins at 0 and at 2.
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Connecting Riemann Sums to the Definite Integrals

For Students 11th - Higher Ed
For this math worksheet, students examine the relationships between Riemann sums and definite integrals. They define the Riemann sums and find area using them.
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More Antiderivatives and the Indefinite Integral

For Students 11th - Higher Ed
For this math worksheet, students investigate the concepts of antiderivatives and the indefinite integral. They also check to find the elementary functions.
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Part 3 of the Fundamental Theorem of Calculus

For Students Higher Ed
In this Fundamental Theorem of Calculus worksheet, students find the solution of given functions. This one-page worksheet contains five problems.
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Understanding the Fundamental Theorem of Calculus

For Students Higher Ed
In this Fundamental Theorem of Calculus worksheet, students demonstrate their understanding of the theorem by identifying the derivative and anti-derivative of given functions. This two-page worksheet contains ten problems.
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Practicing Integration by Substitution

For Students Higher Ed
In this integration worksheet, students evaluate integrals using integration by substitution. This two-page worksheet contains explanations, examples and six problems to solve.
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Integral Exchange: Applying Integration By Substitution

For Students 11th - Higher Ed
For this math worksheet, students practice using the method of substitution with the integrals. They read the examples and then work in groups to apply the method.
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Introduction to Integration by Substitution

For Students 11th - Higher Ed
For this math worksheet, students read the definition for the Chain Rule. Then they examine the functions and calculate the derivatives.

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