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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...
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day instructional 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...
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...
EngageNY
When Can We Reverse a Transformation? 3
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....
EngageNY
The Hunt for Better Notation
The matrix — it's not just a movie. The instructional activity 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...
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,...
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...
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
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
Khan Academy
Khan Academy: Determine Inverse Matrices
Given a pair of matrices, determine whether they are inverses of each other. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Determine Invertible Matrices
Given a 2x2 matrix, determine whether it has an inverse. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Determinant of a 2x2 Matrix
Find the determinant of a given 2x2 matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Represent Linear Systems With Matrices
Determine the matrix that represents a given system of linear equations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
McGraw Hill
Glencoe: Quiz on Determinants and Multiplicative Inverses of Matrices
Learners demonstrate comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on matrices. Topics include determinants and multiplicative inverses.
Khan Academy
Khan Academy: Represent Linear Systems With Matrix Equations
Represent systems of two linear equations with matrix equations by determining A and b in the matrix equation A*x=b. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Precalculus: Matrix Row Operations
Determine the matrix that is the result of performing a specific row operation on a given matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.