Lesson Plan
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EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...
Assessment
EngageNY

End-of-Module Assessment Task — Precalculus (Module 1)

For Teachers 11th - 12th Standards
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,...
Lesson Plan
EngageNY

Composition of Linear Transformations 2

For Teachers 11th - 12th Standards
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of...
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
Curated OER

Systems of Equations and Real Life

For Teachers 9th - 12th
What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your learners reside. The class relates properties of equations to solving for species...
Activity
PBL Pathways

Gas Prices

For Teachers 10th - Higher Ed Standards
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
Lesson Plan
Curated OER

Matrix Transformations

For Teachers 9th - 12th Standards
Students perform reflections of polygons. In this algebra lesson, students use matrices to calculate the reflection across the x and y axis. They also calculate rotation representing 90 and 180 degrees around the origin of the coordinate...
Lesson Plan
Curated OER

Matrices In Encryption And Decryption Of Codes

For Teachers 10th - 12th
Students relate Cryptography to the solving of simultaneous linear equations in matrix notation. They explore various methods of encrypting and decrypting codes. Pupils discuss and solve simultaneous linear equations.
Interactive
CK-12 Foundation

Cramer's Rule

For Students 10th - 12th Standards
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
Worksheet
Curated OER

Data Analysis

For Students 8th - 11th
In this data analysis worksheet, learners solve and complete 6 different problems that include using various types of data analysis. First, they create a stem-and-leaf plot of the ratios shown at the top and determine the mean, median,...
Lesson Plan
Curated OER

Linear Equations

For Teachers 11th - 12th
Students solve systems of linear equations by using inverse matrices lead by a class discussion. They write the identities of the matrices given, review, and grade as a class. Students also write the matrix as the product of the...
Worksheet
Curated OER

Linear Systems: The Determinant

For Students Higher Ed
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...
Worksheet
Curated OER

Linear Systems: Other Methods of Computing Determinants

For Students 12th - Higher Ed
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...
Worksheet
Curated OER

Topic 4.4 - Matrices and Determinants

For Students 7th - 9th
For this determinant worksheet, students find the determinants of each matrix. They use diagonals and the expansion by minors method to help. There are 10 problems on this worksheet.
Worksheet
Curated OER

Topic 4.5 - Identity and Inverse Matrices

For Students 7th - 9th
In this inverse matrix worksheet, students find the inverse of 9 matrices. If the inverse does not exist, they explain why. Students then determine whether each of 4 inverse statements is true or false.
Worksheet
Curated OER

Linear Systems: Applications of Determinants

For Students 12th - Higher Ed
In this determinant worksheet, students explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
Lesson Plan
Curated OER

Determining Center of Gravity

For Teachers 11th - 12th
Students complete calculations involving the structure and properties of matter. They engage in a variety of problem solving activities to help them determine the center of gravity.
Lesson Plan
Curated OER

Determining Center of Gravity

For Teachers 11th - 12th
Students complete calculus calculations involving the structure and properties of matter and determining the center of gravity.
Worksheet
Curated OER

Linear Systems: The Determinant

For Students Higher Ed
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.
Worksheet
Curated OER

Math 214: Quiz 9 - Dimensions of Subspaces

For Students Higher Ed
For this subspace worksheet, students determine the dimension of a nullspace and column space of a given matrix. This two-page worksheet contains three problems.
Lesson Plan
Curated OER

Matrix Multiplication

For Teachers 11th - 12th
Learners identify, analyze, and multiply matrices. They determine if various indicated operations are possible through classroom discussion and practice. Finally, students determine matrix product dimensions through problem-solving...
Worksheet
Curated OER

Determinants: 2x2 and 3x3 Matrices

For Students 11th
In this Algebra II worksheet, 11th graders find the determinant of 2x2 or 3x3 matrix and use the determinant to find the inverse of the matrix.  The two page worksheet contains explanation of topic, a worked example, and three...
Worksheet
Curated OER

MA 439-Math of Image Processing

For Students Higher Ed
In this image processing worksheet, students use a matrix to solve ten problems. For the first six problems, kids are guided to the answer by carefully sequenced questions. The final four problems require students to make a series of...
Worksheet
Curated OER

Matrices and Vectors

For Students 12th - Higher Ed
In this matrices and vectors worksheet, learners solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...