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.

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

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...

In this geometric interpretation learning exercise, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page learning exercise contains explanations, examples, theorems and two problems for students...

In this vector spaces learning exercise, 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...

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.

In this nullspace matrix activity, 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 activity contains...

For 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...

Students investigate shapes and patterns. In this algebra lesson, students move from concrete to abstract understanding of shapes and concepts. They use variable to identify the unknown.

In this column space instructional activity, students find the column spaces of given matrices. This two-page instructional activity contains examples of and explanations. One problem is provided for students to complete.

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

In this computing determinants activity, students 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.

For 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 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.

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...

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

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.

In this subspace instructional activity, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page instructional activity contains explanations, examples, and...

Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...

Young scholars compare and contrast the English and Metric system. In this chemistry lesson, students demonstrate how to convert English to metric and vise versa. They solve problems following the rules of significant figures.