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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 3

For Teachers 11th - 12th Standards
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third lesson on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous two lessons....
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Lesson Plan
EngageNY

The Hunt for Better Notation

For Teachers 11th - 12th Standards
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix multiplication...
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Lesson Plan
EngageNY

Linear Transformations Review

For Teachers 11th - 12th Standards
Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
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...
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Lesson Plan
1
1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Plane

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

Introduction to Networks

For Teachers 11th - 12th Standards
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.
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Lesson Plan
1
1
EngageNY

Solving General Systems of Linear Equations

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

Composition of Linear Transformations 1

For Teachers 11th - 12th Standards
Learners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices. 
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Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.
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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 transformations. 
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Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
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Lesson Plan
1
1
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 questions...
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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,...
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Lesson Plan
EngageNY

First-Person Computer Games

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

Projecting a 3-D Object onto a 2-D Plane

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

Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
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Lesson Plan
EngageNY

Vectors and Translation Maps

For Teachers 11th - 12th Standards
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
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Lesson Plan
EngageNY

Coordinates of Points in Space

For Teachers 11th - 12th Standards
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
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Workbook
Education Bureau of Hong Kong

Decision-Making

For Students 9th - 12th Standards
Making decisions about things like what to do after high school can be a challenge. So many factors are involved. The decision-making worksheet in this resource helps to simplify the process by asking individuals to fill in a matrix for...
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Lesson Plan
1
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Bonneville

Replacing Fossil Fuels?

For Teachers 10th - 12th Standards
Burn through a instructional activity on fossil fuels. Pupils start a unit by considering why it is difficult to phase out fossil fuels. Using provided data on the energy densities and efficiencies of different fuels, they calculate the...
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Lesson Plan
1
1
Angel Island Immigration Station Foundation

The Chinese Exclusion Act

For Teachers 6th - 12th Standards
As part of a study of Angel Island Immigration Station, young historians examine the Chinese Exclusion Act of 1882, the first restriction on the United States immigration based on race and nationality. They complete a matrix identifying...
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Lesson Plan
1
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Angel Island Immigration Station Foundation

Film Screening: Carved in Silence

For Teachers 6th - 12th
Director Felicia Lowe's film Carved in Silence splices together re-enactments, interviews, and actual film footage to tell Angel Island Immigration Station's story. Viewers use a film matrix to record new information they learned from...

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