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EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
EngageNY
Introduction to Networks
Watch as matrices break networks down into rows and columns! Individuals learn how a network can be represented as a matrix. They also identify the notation of matrices.
EngageNY
Composition of Linear Transformations 1
Learners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices.
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
EngageNY
End-of-Module Assessment Task — Precalculus (Module 1)
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,...
EngageNY
Composition of Linear Transformations 2
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...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Space
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...
EngageNY
Complex Numbers and Transformations
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...
EngageNY
First-Person Computer Games
How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...
EngageNY
Designing Your Own Game
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...
PBL Pathways
Gas Prices
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...
EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
Curated OER
Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math
Solve a real-world problem of discovering how many doctors and nurses can be hired within budget and building constraints. Using different colored pencils to shade each graph, they then find the intersection points and use these to solve...
Curated OER
Matrix Multiplication
In this algebra learning exercise, students multiply matrices using the rules for multiplication. If a matrix cannot me multiplied, they write "undefined". There are 16 questions with an answer key.
Curated OER
Linear Systems: Matrix Inverse
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
Curated OER
Topic 4.6 - Using Matrices to Solve Systems of Equations
In this matrix equation worksheet, students write a matrix equation for each of 3 systems. They then solve 6 matrix equations.
CK-12 Foundation
Cramer's Rule
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.
Curated OER
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
Curated OER
Solving Systems with Row Operations 2
Have your class solve equations using matrices by teaching them how to factor systems of equation to identify the point of intersection. They create their matrices on the Ti and perform row operations to simplify.
Curated OER
Algebra 2 Test
In this algebra 2 worksheet, students solve 13 systems of equations where they must identify and solve problems using matrices. This would be a great review worksheet.
Curated OER
Interpolating Function
In this interpolating function worksheet, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
Curated OER
Topic 4.5 - Identity and Inverse Matrices
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.
Curated OER
Linear Systems: The Matrix Inverse
In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...
Curated OER
Inverse Matrices
In this algebra worksheet, students solve matrices using the inverse property. They solve the matrices using multiplications. There are 18 questions with an answer key.