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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...
Curated OER
Systems of Equations and Real Life
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...
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
Worksheet 36-Spring 1996
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....
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 Inverses
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.
Curated OER
Matrix Transformations
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...
Curated OER
Matrix Multiplication
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.
Curated OER
Linear Systems: The Reduced Row Echelon Matrix
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.
Curated OER
Topic 4.7 - Using Augmented Matrices
In this algebra worksheet, students solve each of the systems of equations using an augmented matrix. There are 8 problems to solve.
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
Data Analysis
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,...
Curated OER
Linear Systems: Matrix Operations
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.
Curated OER
Linear Systems: Using Matrix Operations
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...
Curated OER
Linear Systems: Reduced Row Echelon Matrix
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.
Curated OER
Linear Systems: Nullspace Matrix and Rank
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...
IMSA
Geometric Transformations with Matrices
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...
Curated OER
Matrix Multiplication
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.
Curated OER
Matrix Addition
For this matrix worksheet, students add matrices containing four to nine numbers. Explanations and examples are provided. This two-page worksheet contains ten problems.
Curated OER
Linear Systems: Linear Equations, Vectors and Matrices
In this matrices instructional activity, students write matrix notation to represent linear systems. This four-page instructional activity contains approximately 15 problems.