In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...

Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...

Students calculate the determinant. In this algebra activity, students find the determinant and use to calculate the area of a triangle. They calculate the area of a quadrilateral in a plane.

Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...

Students examine characteristics of a matrix. After identifying the determinant of a matrix, students explore the properties of matrix multiplication. They review the properties of matrix multiplication and identify determinants in a...

Animal reproduction in sheep and cattle is explored with the help of Punnet squares. Scholars employ tools using probability to conclude the color of wool a sheep's offspring will have. Acting as animal geneticists, pupils then take...

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...

Data encryption is an important security measure for sensitive data stored on computers. Pupils learn how to utilize matrices for creating code. They also get a great review of matrix multiplication, inverse matrices, and the identity...

A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...

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...

Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...

In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...

In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...

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...

Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.

In this Algebra II worksheet, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page worksheet contains explanation of topic, worked examples, and five practice...

Students observe and solve examples of betweenness, ruler postulate, and segment addition postulate. They complete the Finding the Measure of Segments worksheet using the distance formula.

In this geometry learning exercise, students create words making a right angles each time. There are 50 questions to be solved with an answer key.

Students solve systems of equations. In this precalculus lesson plan,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.

In this New Testament puzzle worksheet, students read clues and determine the book of the Bible for each clue listed.  They write the letters for the book in a matrix.  This two-page worksheet contains 20 problems.  A link...

In this right angle puzzle, students identify the names of states  by their nickname.  They write the names of the states on a puzzle.  This three-page worksheet contains 50 clues.  Instructions are on the first page,...

Students determine the dimension of a subspace.  In this dimension and rank lesson, students explore the dimension of a vector space.  They compare and explore the relationship in a matrix. 

In this QR algorithm worksheet, students use the QR algorithm to solve an over-determined system of equations. This two-page worksheet contains 11 problems.

In this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.