Worksheet
Curated OER

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.
Worksheet
Curated OER

Linear Systems Quiz 6

For Students 11th - Higher Ed
In this math worksheet, students practice finding the solutions for the linear systems in the form of a quiz. They focus upon finding the eigenvalues and eigenvectors of a matrix.
Worksheet
Curated OER

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...
Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
Lesson Plan
Curated OER

Basic Matrix Algebra

For Teachers 9th - 11th
Students perform basic matrices operations. In this algebra instructional activity, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
Worksheet
Curated OER

Linear Systems: Identifying Pivots and Multipliers

For Students Higher Ed
In this pivot learning exercise, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page learning exercise contains examples, explanations, and...
Worksheet
Curated OER

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...
Worksheet
Curated OER

Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
For 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.
Worksheet
Curated OER

Linear Systems: The Reduced Row Echelon Matrix

For Students Higher Ed
In this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page learning exercise contains explanations, examples and six problems.
Lesson Plan
Curated OER

Solving Systems with Row Operations 2

For Teachers 9th - 12th Standards
Have your class solve equations using matrices by teaching them how to factor systems of equation to identify the point of intersection. They create their matrices on the Ti and perform row operations to simplify.
Lesson Plan
Curated OER

Cramer's Rule ID: 8793

For Teachers 9th - 12th Standards
Mathematicians are introduced to Cramer’s Rule and use it to solve three systems that have one solution, no solutions, and an infinite number of solutions.  Students use TI-Nspire to graph the systems to verify their answers and...
Worksheet
Curated OER

Algebra 2 Test

For Students 10th - 11th
In this algebra 2 worksheet, students solve 13 systems of equations where they must identify and solve problems using matrices. This would be a great review worksheet.
Worksheet
Curated OER

Interpolating Function

For Students 12th - Higher Ed
In this interpolating function worksheet, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
Worksheet
Curated OER

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...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
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...
Lesson Plan
Curated OER

Linear Systems and Echelon Forms

For Teachers 11th
Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms lesson plan, 11th graders solve a linear system using elementary row operations. Students also describe the set...
Worksheet
Curated OER

Linear Systems: The Matrix Inverse

For Students Higher Ed
In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...
Worksheet
Curated OER

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.
Worksheet
Curated OER

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.
Worksheet
Curated OER

Linear Systems: Rectangular Matrices

For Students Higher Ed
In this rectangular matrices activity, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page activity contains examples, explanations and approximately...
Worksheet
Curated OER

Linear Systems: Properties of the Four Matrix Subspaces

For Students Higher Ed
In this four matrix subspaces activity, students identify statements which are always true for given matrices. Students are given five matrices and a list of ten statements.
Lesson Plan
EngageNY

Designing Your Own Game

For Teachers 11th - 12th Standards
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
Lesson Plan
Kenan Fellows

Solutions

For Teachers 9th - 12th Standards
Scientists require specific chemical solutions for their experiments. In the seventh and final installment in a series that integrates chemistry and algebra II, scholars learn to set up a system of equations to solve the volume of a...
Lesson Plan
Kenan Fellows

Isotopic Pennies

For Teachers 9th - 12th Standards
Many people confuse atomic mass and atomic numbers. The sixth of seven lessons in a unit requires scholars to find the weight of different groups of pennies. Then, they must solve how many of each type of penny exists in a closed system...

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