Lesson Plan
EngageNY

Matrix Notation Encompasses New Transformations!

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

Modeling Video Game Motion with Matrices 1

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

Getting a Handle on New Transformations 1

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

Getting a Handle on New Transformations 2

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

The Hunt for Better Notation

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

When Can We Reverse a Transformation? 2

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

When Can We Reverse a Transformation? 1

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

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
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...
Unknown Type
Khan Academy

Khan Academy: Determine Inverse Matrices

For Students 9th - 10th Standards
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.
Unknown Type
Khan Academy

Khan Academy: Determine Invertible Matrices

For Students 9th - 10th Standards
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.
Unknown Type
Khan Academy

Khan Academy: Determinant of a 2x2 Matrix

For Students 9th - 10th Standards
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.
Unknown Type
Khan Academy

Khan Academy: Represent Linear Systems With Matrices

For Students 9th - 10th Standards
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.
Unknown Type
McGraw Hill

Glencoe: Quiz on Determinants and Multiplicative Inverses of Matrices

For Students 9th - 10th Standards
Learners demonstrate comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on matrices. Topics include determinants and multiplicative inverses.
Unknown Type
Khan Academy

Khan Academy: Represent Linear Systems With Matrix Equations

For Students 9th - 10th Standards
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.
Unknown Type
Khan Academy

Khan Academy: Precalculus: Matrix Row Operations

For Students 9th - 10th Standards
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.