Curated OER
Linear Systems: Fundamental Theorem
In this fundamental theorem instructional activity, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page...
Curated OER
Linear Systems: Introduction to Vector Space
In this vector space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples, theorems, explanations, and approximately three problems.
Curated OER
Linear Systems: Symmetric Matrices
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.
Curated OER
Linear Systems: Matrix Operations
This matrix operations worksheet covers topics such as matrix addition, multiplication and properties such as associative, commutative and distributive. Students give examples and counter examples of matrix addition and multiplication. ...
Curated OER
Linear Systems: Permutations and Transposes
For this permutation worksheet, students multiply matrices, explore symmetric matrices, permutation matrices, and properties of the transpose. This three-page worksheet contains explanations, examples and four problems.
Curated OER
Linear Systems: The Reduced Row Echelon Matrix
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.
Curated OER
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.
Curated OER
Linear Systems: Matrix Multiplication
In this matrix multiplication learning exercise, students multiply matrices and identify the rotation matrix of a given angle. This two-page learning exercise contains examples, explanations and two problems to solve.
Curated OER
Linear Systems; Permutations and Transposes
In this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.
Curated OER
Linear Systems: Eigenvalues and Eigenvectors
In this eigenvalues worksheet, students find the eigenvalues and eigenvectors of a given matrix. This two-page worksheet contains examples, explanations and two practice problems.
Curated OER
Linear Systems and Reviewing for Exam 2
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
Curated OER
Linear Systems: The Inverse Matrix
In this inverse matrix instructional activity, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page instructional activity contains explanations, examples and...
Curated OER
Linear Systems: Applications of Eigenvalues and Eigenvectors
In this Eigenvalue activity, students examine the applications of matrix exponentiation. This four-page activity contains examples, explanations and approximately three problems to complete.
Curated OER
Linear Systems: Properties of the Four Matrix Subspaces
In this four matrix subspaces worksheet, students identify statements which are always true for given matrices. Students are given five matrices and a list of ten statements.
Curated OER
Linear Systems: The Determinant
In this determinant worksheet, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page worksheet contains nine problems.
Curated OER
Linear Systems: Applications of Eigenvalues and Eigenvectors
In this eigenvalue and eigenvector worksheet, students find the eigenvalue and eigenvector of a given matrix. This two-page worksheet contains four problems.
Curated OER
Linear Systems: Column Space and Nullspace of a Matrix
In this matrix instructional activity, students find the column space and nullspace of a matrix. They give examples of vectors. This two-page instructional activity contains four problems.
Curated OER
Linear Systems: Geometric Interpretation of Eigenvalues and Eigenvectors
In this interpretation of eigenvalues and eigenvectors worksheet, students probe the given results of exponentiation of a matrix. They tell the implications of this result. Students prove that the eigenvectors of a symmetric matrix are...
Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
Curated OER
Graphing Inequalities in Two Variables
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
Curated OER
STRETCHING SPRING
Young scholars calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They create an equation of a line of best fit from a set of ordered...
Curated OER
Worksheet 1, Basic Calculus Pre-Course Review
In this calculus worksheet, students review topics they need to already understand in order to be successful in a basic calculus course. Topics include functions, linear equations, coordinate graphing, piece-wise formulation, exponents,...
Curated OER
Functions and the Vertical Line Test
Learners examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
Curated OER
Pigs, Goats and Sheep
Student are able to devise and use problem solving strategies to explore problems systematically and mathematically. They also form and solve various types of equations. This instructional activity requires some prior knowledge of...