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Least Squares

For Students 12th - Higher Ed
In this least squares instructional activity, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate...
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Vectors: Follow That Arrow

For Teachers 9th - 12th
Vectors and their connection to motion. A video will be presented to provide information for the class to use methods of solving vectors with and without grids. Real-world physical concepts will be explored in reference to vectors.
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Be Independent / Life Management Skills

For Teachers 9th - 12th
Living independently is about more than managing money. Learn how to manage time, balance responsibilities, and calculate overtime and income with a set of activities about life management skills.
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Matrix Math

For Teachers 10th
Tenth graders practice adding, subtracting, and multiplying matrices. After completing and reviewing bell ringer problems they review homework from night before and discuss any questions. Students are introduced to new matrix...
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Linear Systems: Orthogonal Matrices

For Students 11th - Higher Ed
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
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Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In 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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Triangle in the Matrix

For Teachers 9th - 12th Standards
Young mathematicians represent a triangle with a matrix and use the determinant to find the area of three given triangles. Learners also verify the formula for area of a triangle. 
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Linear Systems: The Reduced Row Echelon Matrix

For Students Higher Ed
For this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page worksheet contains explanations, examples and six problems.
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Linear Systems Review Problems

For Students Higher Ed
In this linear systems worksheet, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...
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Topic 4.7 - Using Augmented Matrices

For Students 7th - 9th
In this algebra worksheet, students solve each of the systems of equations using an augmented matrix. There are 8 problems to solve.
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Linear Systems: Orthogonality of Vector Spaces of a Matrix

For Students 12th - Higher Ed
In this vector spaces of a matrix instructional activity, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page instructional activity contains...
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Linear Systems: Nullspace

For Students Higher Ed
For this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
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Chapter 8, 9 Worksheet. Math 210: Probability

For Teachers Higher Ed
In this probability worksheet, students determine the probability of given events, they solve story problems using a transition matrix. This one-page worksheet contains approximately four multi-step problems.
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Using Gauss Jordon to Solve Linear Systems by Elimination

For Students 11th - Higher Ed
In 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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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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Other Methods of Computing Determinants

For Students 11th - Higher Ed
In this math worksheet, learners find the answers to the problems related to computing determinants. They read the examples and progress from one step to the next.
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Math 214 Quiz 10 - Linear Systems

For Students Higher Ed
For this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
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Solving Linear Systems Using Matrices

For Students 9th - 12th Standards
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Coded Messages

For Teachers 9th - 12th Standards
Students solve matrices by multiplication. In this algebra lesson, students create coded messages and relate it to solving matrices. They multiply and find the inverse of matrices.
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Statistics

For Students 9th
In this statistics worksheet, 9th graders solve and complete 10 various types of problems that include using different types of graphs to illustrate data. First, they determine the median score for each stem-and-leaf plot. Then, students...
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Academic Algebra II Test Chapter 4

For Students 9th - 10th
In this algebra worksheet, students solve systems of equations.  They evaluate matrix problems and identify the determinant.  This two-page worksheet contains 13 problems.
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Linear Systems: Column Space and Nullspace of a Matrix

For Students Higher Ed
In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.
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Academic Algebra II Test Chapter 4, Part 2

For Students 9th - 12th
In this test of knowledge activity, students answer 2 story problems, they solve 6 systems of equations. Students multiply 2 maxrix sets. They determine the inverse of two matrices. Students determine the linear regression line for two...
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Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices worksheet, students find the eigenvalues of a matrix and discover that symmetric matrices are diagonalizable. This two-page worksheet contains examples, explanations and two problems.

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