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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...
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...
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...
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
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...
Lesson Plan
Curated OER

Worksheet 36-Spring 1996

For Teachers Higher Ed
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
Lesson Plan
Curated OER

Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math

For Teachers 9th - 12th
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...
Lesson Plan
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Curated OER

Matrix Inverses

For Teachers 9th - 12th Standards
Students solve problems with matrices. In this algebra lesson, students find the inverse of a matrix. They calculate the determinant and solve for the identity.
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...
Worksheet
Curated OER

Matrix Multiplication

For Students 11th - 12th
In this algebra worksheet, learners multiply matrices using the rules for multiplication. If a matrix cannot me multiplied, they write "undefined". There are 16 questions with an answer key.
Worksheet
Curated OER

Linear Systems: The Reduced Row Echelon Matrix

For Students Higher Ed
In this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page learning exercise contains explanations, examples and six problems.
Worksheet
Curated OER

Topic 4.7 - Using Augmented Matrices

For Students 7th - 9th
In this algebra worksheet, students solve each of the systems of equations using an augmented matrix. There are 8 problems to solve.
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,...
Worksheet
Curated OER

Linear Systems: Matrix Operations

For Students Higher Ed
For this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
Worksheet
Curated OER

Linear Systems: Using Matrix Operations

For Students 12th - Higher Ed
In this linear systems worksheet, learners use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
Worksheet
Curated OER

Linear Systems: Reduced Row Echelon Matrix

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

Linear Systems: Nullspace Matrix and Rank

For Students 11th - Higher Ed
In this nullspace matrix worksheet, 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 worksheet contains...
Lesson Plan
IMSA

Geometric Transformations with Matrices

For Teachers 10th - 12th Standards
In this math worksheet, learners find the values associated with the geometric transformations. They read the instruction sheet for completing matrices with translations, rotations, reflections, and scaling by adding and multiplying...
Worksheet
Curated OER

Matrix Multiplication

For Students 10th - 11th
In this matrix multiplication worksheet, students multiply matrices containing two to ten terms. Explanations and examples are provided prior to the exercise. This five-page worksheet contains ten problems.
Worksheet
Curated OER

Matrix Addition

For Students 9th - 10th
For this matrix worksheet, students add matrices containing four to nine numbers. Explanations and examples are provided. This two-page worksheet contains ten problems.
Worksheet
Curated OER

Linear Systems: Linear Equations, Vectors and Matrices

For Students Higher Ed
In this matrices instructional activity, students write matrix notation to represent linear systems. This four-page instructional activity contains approximately 15 problems.

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