{"results":"
\n\n
\n
\n
\n
\n\n8\nItems in Topic\n\n
\n
\n
\n\"Solve\n\n
\n
\n
\n
\nLesson Planet Curated\n
\n

\nSolve Systems of Equations Using Matrices: Common Core High School Algebra\n

\n
\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
\n
\n
\nThere's more than one way to solve a system by using matrices. These two standards address how to represent a system as a matrices and then to find the inverse if its exists. The collection includes lessons and practice for your students...\n
\n
\n
\n\nGet Free Access\n
\n
\n
\n
\n\n
\n\n
\n\n
\n
\n
\n
\n\n15\nItems in Topic\n\n
\n
\n
\n\"Essence\n\n
\n
\n
\n
\nLesson Planet Curated\n
\n

\nEssence of Linear Algebra\n

\n
\n\nFor Teachers\n\n11th - Higher Ed\n\nStandards\n
\n
\n
\nThe 15 videos in the Essence of Linear Algebra collection teach students how to understand the numerical operations of matrices as well as the geometric intuitions underlying them. The first video in the series details the rationale...\n
\n
\n
\n\nGet Free Access\n
\n
\n
\n
\n\n
\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Modeling\n\n
\n
\n
\n
\nEngageNY\n
\n

\nModeling Video Game Motion with Matrices 1\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nVideo game characters move straight with matrices. The first day of a two-day lesson plan introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Modeling\n\n
\n
\n
\n
\nEngageNY\n
\n

\nModeling Video Game Motion with Matrices 2\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nThe 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...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Getting\n\n
\n
\n
\n
\nEngageNY\n
\n

\nGetting a Handle on New Transformations 2\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nUse 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...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Instructional Video10:59
\n\n\n\n\n\n\n
1
\n\n\n\n\n\n\n\n1\n\n\n\n\n
\n
\n
\n\"Linear\n\n
\n
\n
\n
\n3Blue1Brown\n
\n

\nLinear Transformations and Matrices | Essence of Linear Algebra, Chapter 3\n

\n
\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
\n
\n
\nAre all transformations of the plane linear transformations? The video provides examples of transformations of the plane and provides the definition of linear transformations. The resource begins the discussion of using matrix...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"When\n\n
\n
\n
\n
\nEngageNY\n
\n

\nWhen Can We Reverse a Transformation? 1\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nWait, 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...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Matrix\n\n
\n
\n
\n
\nCurated OER\n
\n

\nMatrix Transformations\n

\n
\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
\n
\n
\nStudents perform reflections of polygons. In this algebra lesson plan, 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...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Matrix\n\n
\n
\n
\n
\nEngageNY\n
\n

\nMatrix Multiplication and Addition\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nTo commute or not to commute, that is the question. The 26th segment in a 32-segment lesson plan focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Instructional Video10:04
\n\n\n\n\n\n\n
1
\n\n\n\n\n\n\n\n1\n\n\n\n\n
\n
\n
\n\"Matrix\n\n
\n
\n
\n
\n3Blue1Brown\n
\n

\nMatrix Multiplication as Composition | Essence of Linear Algebra, Chapter 4\n

\n
\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
\n
\n
\nTake a different view at matrix multiplication. Based on vector transformations, the video presents matrix multiplication as the result of the composition of multiple linear transformations. The presentation explains the numerical...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Matrix\n\n
\n
\n
\n
\nEngageNY\n
\n

\nMatrix Multiplication Is Not Commutative\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nShould 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...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"When\n\n
\n
\n
\n
\nEngageNY\n
\n

\nWhen Can We Reverse a Transformation? 2\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nThe 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,...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Instructional Video4:46
\n\n\n\n\n\n\n
1
\n\n\n\n\n\n\n\n1\n\n\n\n\n
\n
\n
\n\"Three-dimensional\n\n
\n
\n
\n
\n3Blue1Brown\n
\n

\nThree-dimensional Linear Transformations | Essence of Linear Algebra, Footnote\n

\n
\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
\n
\n
\nBring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Matrix\n\n
\n
\n
\n
\nEngageNY\n
\n

\nMatrix Notation Encompasses New Transformations!\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nClass 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...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Getting\n\n
\n
\n
\n
\nEngageNY\n
\n

\nGetting a Handle on New Transformations 1\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nIn the first of a two-day lesson 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...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Instructional Video4:27
\n\n\n\n\n\n\n
1
\n\n\n\n\n\n\n\n1\n\n\n\n\n
\n
\n
\n\"Nonsquare\n\n
\n
\n
\n
\n3Blue1Brown\n
\n

\nNonsquare Matrices as Transformations Between Dimensions | Essence of Linear Algebra, Footnote\n

\n
\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
\n
\n
\nBut what happens if the matrix is not square? The ninth video in a series of 15 serves as a footnote to discuss non-square matrices. The resource presents them as transformations between two and three dimensions. The presentation...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Dilations\n\n
\n
\n
\n
\nCurated OER\n
\n

\nDilations with Matrices\n

\n
\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
\n
\n
\nExamine dilation with matrices with your class. Learners write a conjecture for how the scale factor determines the size of an image. They then use their conjecture to write a matrix multiplication problem for the illustrated...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Transformations\n\n
\n
\n
\n
\nCurated OER\n
\n

\nTransformations and Matrices\n

\n
\n\nFor Teachers\n\n9th - 11th\n
\n
\n
\nThere are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Matrix\n\n
\n
\n
\n
\nCurated OER\n
\n

\nMatrix Analysis of Networks\n

\n
\n\nFor Teachers\n\n9th - 11th\n
\n
\n
\n \nExplore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Matrix\n\n
\n
\n
\n
\nEngageNY\n
\n

\nMatrix Addition Is Commutative\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nExplore 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...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Instructional Video6:25
\n
\n
\n
\n\"How\n\n
\n
\n
\n
\nCurated OER\n
\n

\nHow Do You Use Matrices to Translate a Figure?\n

\n
\n\nFor Teachers\n\n10th - 12th\n
\n
\n
\nOne way to translate a geometric figure on a coordinate plane is through the use of matrices. This video shows how to write the original coordinates in a matrix, how to build a translation matrix, how to add them, and then how to plot...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Composition\n\n
\n
\n
\n
\nEngageNY\n
\n

\nComposition of Linear Transformations 1\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nLearners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices. \n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Composition\n\n
\n
\n
\n
\nEngageNY\n
\n

\nComposition of Linear Transformations 2\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nScholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Linear\n\n
\n
\n
\n
\nEngageNY\n
\n

\nLinear Transformations Review\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nTime for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n","pagination":"
\n
\n
\n"}