In this least squares approximation instructional activity, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This...

In this "Eigenvalues and Eigenvectors" activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page activity contains two multi-step problems.

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.

In this body systems worksheet, students complete a word equation for respiration. Kids draw and label the human respiratory system. Students draw a diagram of the movement of oxygen and carbon dioxide in the air sacs.

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.

In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...

In this nullspace matrix worksheet, students 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...

In this geometry worksheet, 10th graders determine the property of the real number system that justifies each given statement and complete a two column proof in which they justifying the steps for solving an equation.  The one page...

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.

For this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.

In this computing determinants activity, learners explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This two-page...

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.

In this echelon matrix worksheet, students find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.

In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.

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...

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...

In this review of vectors worksheet, learners explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.

In this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.

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.

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.

In this real life chemistry worksheet, students are given 4 conversion factors and they solve 7 problems using the given conversion factors. They find the number of "widgets" and "watzits" needed to complete a "system". They find their...

In this reaction rates worksheet, students solve eight multiple choice problems about chemical reactions and their rates. They determine what species would slow reactions, they apply concepts of activation energy to reactions, they...

In this magnetic circuits worksheet, students answer 16 questions about magnetic flux, resistance, voltage, current, and reluctance.

Using the number of days they have been in school, learners practice fining sums by adding ten, subtracting ten, and determining even and odd numbers. They write equations and build numbers with the fewest number of base ten blocks.