Curated OER
Worksheet 13
In this math learning exercise, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
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Linear Systems: The Column Space
In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.
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Linear Systems: Applications of Eiginvalues
In this Eigenvalue and Eigenvector instructional activity, students examine the applications of matrix exponentiation. This four-page instructional activity provides explanations and examples, as well as three problems to complete.
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Linear Systems: Nullspace Matrix and Rank
In this nullspace matrix worksheet, learners observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...
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Linear Systems: LU Decomposition
In this LU decomposition worksheet, learners multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page worksheet contains approximately six problems.
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Linear Systems: Symmetric Matrices
For this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
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Linear Systems: Independence, Basis and Dimension
In this basis and dimension learning exercise, students explore vector spaces associated with rectangular matrices. The two-page learning exercise contains approximately 20 short answer questions.
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Linear Systems: Geometric Interpretation of Eigenvalues
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: Eigenvalues and Eigenvectors
For this "Eigenvalues and Eigenvectors" worksheet, students 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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Conductivity of salt Solutions
Students investigate the concentration level of solutions. In this math/science lesson, students identify three different ionic compounds. They predict the conductivity of each using their collected data.
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The Power of Algebra
First graders explore patterns. They look for patterns in number problems and use algebra as a means of solving general problems. Students devise a strategy to solve the number problem.
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Changing the Currency of Different Countries
Seventh graders explore changing currency. For this international math lesson, 7th graders will write and solve 2-step equations in order to convert currencies between nations. Students will research prices of items and currency...
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Linear Systems: Orthogonality of Vector Spaces of a Matrix
In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
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Linear Systems: Orthogonal Matrices
In this orthogonal matrices learning exercise, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page learning exercise contains...
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Linear Systems: Vector Spaces and Subspaces
In this vector space worksheet, students 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: Reduced Row Echelon Matrix
In this echelon matrix worksheet, learners find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.
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Linear Systems: Projections
In this projection instructional activity, students determine the projections of a given matrix. This four-page instructional activity contains explanations and examples and approximately ten problems to complete.
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Linear Systems: Definition of the Nullspace
In this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.
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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.
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Linear Systems: Nullspace Matrix
In this linear systems activity, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page activity contains explanations, examples and four problems to solve.
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Using Gauss Jordon to Solve Linear Systems by Elimination
For this math worksheet, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
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What Are The Chances
Learners calculate the probability of an event occurring. For this probability lesson, students differentiate between independent, dependent or compound events. They find the range of the data.
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Linear Systems: Matrix Operations
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.