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Linear Systems: Fundamental Theorem of Linear Algebra
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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Word Search- Numbers 1 to 10
In this numbers word search learning exercise, students search for the numbers 1-10, written in words in the search. Answers are included on page 2.
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Linear Systems: Orthogonality of Subspaces
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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Geometric Interpretations of Eigenvalues and Eigenvectors
In this math learning exercise, students practice finding the Eigenvalues and Eigenvectors. They find the special factors of the given matrices.
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Linear Systems/ LU Decomposition
In this math worksheet, students 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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The Fundamental Theorem and IVP's
In this math learning exercise, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
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Integration By Parts
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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The Product and Quotient Rules
In this produce and quotient rule activity, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page activity contains explanations,...
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Binary Operations
In this binary operations worksheet, 9th graders solve 12 different problems related to various binary operations. First, they determine whether the operation is commutative. Then, students name the identity element and explain why none...
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The Nullspace of a Matrix
In this math instructional activity, students read the definition for the nullspace of a matrix. The definition is used to find the solutions to new problems.
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Elimination: Using Matrix Operations
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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Riemann Sums and Error Stacks
In this Riemann sums worksheet, students use accumulation to find the estimate for the area of a given shape. Students use Riemann sums to estimate the area under the curves and error stacks to bound the error of their approximation....
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Analyzing the S-I-R Model
In this SIR model instructional activity, students analyze a real life problem using the SIR method. They explore given facts and determine the threshold value for an epidemic, the sequence for the recovery period, and the effect on the...
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Properties of the Definite Integrals
In this math instructional activity, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Division Match
In this division worksheet, students solve division problems with decimals and match the problem to the answers. Students match 15 problems and solve a secret message in the end.
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Complex Analysis: Rectangular Form
In this rectangular form worksheet, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page worksheet contains approximately 12 multi-step problems.
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Complex Analysis: Linear Fractional Transformations
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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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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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: Linear Equations, Vectors and Matrices
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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Discussion Sheet 2
In this math worksheet, students consider a two dimensional graph and then create two equations for revolving it around the axes.
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Area, Riemann Sums and Summation Notation
In this math instructional activity, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations...
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Solutions of Initial Value Problems
For this initial value worksheet, students explore the best methods to solve rate problems. Students differentiate functions to check the initial value of problems. This two-page worksheet contains approximately ten multi-step problems.
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Limits at Infinity and Horizontal Asymptotes
In this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...