{"results":"
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Lesson Plan
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\n\"MA\n\n
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\nCurated OER\n
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\nMA 371 - Reduced Row Echelon Form\n

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\n\nFor Teachers\n\n12th - Higher Ed\n
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\nIn this reduced row echelon form worksheet, young scholars solve 2 short answer problems. Students find the reduced row echelon form of a matrix using row operations.\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Systems with Row Operations 1\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents solve systems of equations. In this algebra lesson plan, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"MA\n\n
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\nCurated OER\n
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\nMA 371 - Linear Equations 1\n

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\n\nFor Teachers\n\n12th - Higher Ed\n
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\nIn this linear equations worksheet, young scholars solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Young scholars express their answers using an augmented matrix in...\n
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Lesson Plan
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Systems with Row Operations 2\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHave your class solve equations using matrices by teaching them how to factor systems of equation to identify the point of intersection. They create their matrices on the Ti and perform row operations to simplify.\n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"Exercises\n\n
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\nCurated OER\n
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\nExercises for Section 5.3: Matrices\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFor this matrices worksheet, students solve 26 systems of equations using matrices. Students solve each system using matrices. Students determine the rank and solutions of each matrix using row echelon form of each system.\n
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Lesson Plan
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\n\"MA\n\n
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\nCurated OER\n
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\nMA 371 Homework 1: Vectors\n

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\n\nFor Teachers\n\n12th - Higher Ed\n
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\nIn this vectors worksheet, students solve 7 short answer problems. Students find vectors that are orthogonal. Students solve systems of equations by converting matrices into reduced row echelon form.\n
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Lesson Plan
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\n\"MA\n\n
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\nCurated OER\n
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\nMA 371 Homework 2: Matrices\n

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\n\nFor Teachers\n\n12th - Higher Ed\n
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\nIn this matrices worksheet, students solve 10 short answer problems. Students perform row operations on matrices to find compliments, inverted matrices, orthogonal matrices, etc.\n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"Row-Echelon\n\n
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\nCurated OER\n
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\nRow-Echelon Matrices\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this algebra worksheet, students rewrite linear equations using matrices and solve using row-echelon form. There are 30 problems ranging from one equation to system of equations.\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Matrices\n\n
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\nCurated OER\n
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\nMatrices\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nStudents explore matrices. Given a particular situation, they discover the make-up and design of a matrix. Students identify examples of rectangular arrays used in real world situations. They solve oral problems in class.\n
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Lesson Plan
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Systems and Echelon Forms\n

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\n\nFor Teachers\n\n11th\n
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\nEleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms instructional activity, 11th graders solve a linear system using elementary row operations. Students also...\n
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Activity
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\n\"Gas\n\n
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\nPBL Pathways\n
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\nGas Prices\n

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\n\nFor Teachers\n\n10th - Higher Ed\n\nStandards\n
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\nHow 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...\n
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Lesson Plan
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Equations and Matrices\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nStudents solve systems of equations. In this precalculus lesson,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.\n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Systems: Reduced Row Echelon Matrix\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this echelon matrix worksheet, learners find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.\n
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Lesson Plan
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\n\"Comparing\n\n
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\nCurated OER\n
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\nComparing Fairy Tales\n

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\n\nFor Teachers\n\n2nd - 3rd\n
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\nStudents read and review common fairy tales and come up with a list of characteristics from them. The Teacher models filling out either a compare & contrast graphic organizer comparing two fairy tales.\n
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Lesson Plan
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\n\"Eigenvalues,\n\n
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\nCurated OER\n
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\nEigenvalues, Eigenvectors, and Diagonalization\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nStudents determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Linear Algebra: Reduced Row Echelon Form 3\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo shows another example of using matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables. Explains how to determine how many solutions the system will have by looking at the reduced row echelon form....\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Linear Algebra: Reduced Row Echelon Form 1\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables. Shows how the system relates to vectors to help visualize what the solution represents. This video also appears in the...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Linear Algebra: Reduced Row Echelon Form 2\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo shows example of using matrices and reduced row echelon form to solve a system of 3 equations in 3 variables. This video also appears in the strand Algebra: Matrices. [7:37]\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Linear Algebra: Reduced Row Echelon Form 2\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo shows example of using matrices and reduced row echelon form to solve a system of 3 equations in 3 variables. This video also appears in the strand Algebra: Matrices. [7:37]\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Matrices: Reduced Row Echelon Form 2\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis video shows an example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Solving Systems by Elimination: Reduced Row Echelon Form 1\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables.\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Varsity\n\n
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\nVarsity Tutors \n
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\nVarsity Tutors: Hotmath: Algebra Review: Matrix Row Operations\n

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\n\nFor Students\n\n9th - 10th\n
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\nFind a quick, concise explanation of the three basic matrix row operations. Examples are given and clearly explained for each of the operations: switching rows, multiplying a row by a number and adding rows/multiples of rows.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Linear Algebra: Determinant After Row Operations\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nA video lesson proving that the determinant of a matrix does not change even after performing row operations on the matrix. [10:25]\n
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Unknown Type
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Precalculus: Matrix Row Operations\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nDetermine 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.\n
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\n\nGet Free Access\n\nSee Review\n
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