EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
CK-12 Foundation
Solving a Matrix Equation: Mystery Matrix
Solve a matrix in code—color code. Pupils use the interactive resource to set up the matrix equation and its solution path. Scholars use the created solution path to determine the entries of the 2 X 2 solution.
Mathematics Vision Project
Module 10: Matrices Revisited
A matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...
EngageNY
Matrix Arithmetic in Its Own Right
Matrix multiplication can seem random to pupils. Here's a instructional activity that uses a real-life example situation to reinforce the purpose of matrix multiplication. Learners discover how to multiply matrices and relate the process...
EngageNY
Matrix Multiplication and Addition
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day instructional activity introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine...
EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...
CK-12 Foundation
Matrix Multiplication: Vectors
Visualize matrix multiplication on the coordinate plane. Pupils use the interactive to create a matrix multiplication problem using vectors. The scholars see the resulting product of the matrices as a vector.
CK-12 Foundation
Multiplying Matrices by a Scalar: Column Vectors
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
CK-12 Foundation
Adding and Subtracting Matrices: The Matrix Calculator
Discover the procedure to add and subtract matrices. Pupils use the interactive and discover the pattern in adding and subtracting matrices. Scholars adjust the entries in the addends and see the resulting changes in the sum. They also...
CK-12 Foundation
Matrices to Represent Data: Houndstooth
Apply matrices to fashion. Here your classes use a matrix to create a popular clothing design. As they construct the pattern, they review the dimensions of a matrix by considering the rows and columns.
CK-12 Foundation
Matrix Algebra: Matrix Match
What size is the product of two matrices? Individuals determine that two matrices that can be multiplied and their resulting matrix by connecting them in the interactive resource. They make a generalization about the sizes of matrices...
EngageNY
Using Matrix Operations for Encryption
Data encryption is an important security measure for sensitive data stored on computers. Pupils learn how to utilize matrices for creating code. They also get a great review of matrix multiplication, inverse matrices, and the identity...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
EngageNY
Matrix Multiplication Is Distributive and Associative
Learn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson in the series, pupils now test the associative and distributive properties. The...
EngageNY
Networks and Matrix Arithmetic
Doubling a network or combining two networks is quick and easy when utilizing matrices. Learners continue the network example in the second lesson of this series. They practice adding, subtracting, and multiplying matrices by a scalar...
EngageNY
Linear Transformations as Matrices
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
CK-12 Foundation
Multiplying Matrices by a Scalar: Making Matrix Patterns
Scalar multiplication equations can be a drag. Scholars determine missing matrices to make correct scalar matrix multiplication equations. They place the correct matrix into the equations within the interactive resource and analyze the...
CK-12 Foundation
Multiplying Matrices by a Scalar
The rule is add before multiplying, even with matrices. Pupils use a slider to change the scalar multiplying the sum of two matrices. The interactive displays the resulting solution matrix, and requires scholars answer five questions...
EngageNY
Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given point. The...
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day activity on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding the...
EngageNY
When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses, then...
EngageNY
When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
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