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Lesson Plan
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\n\"Classifying\n\n
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\nMathematics Assessment Project\n
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\nClassifying Solutions to Systems of Equations\n

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\n\nFor Teachers\n\n8th\n\nStandards\n
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\nDouble the fun of solving a linear equation with an activity that asks learners to first compete an assessment task graphing two linear equations to find the common solution. They then complete a card activity solving systems of...\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 Using Matrices\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nExplore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...\n
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Lesson Plan
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\n\"Solution\n\n
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\nEngageNY\n
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\nSolution Sets to Simultaneous Equations (part 2)\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nDo you want your budding mathematicians to be able to explain 'why' and not just 'do'? This lesson encourages an understanding of the process of elimination. Pupils are expected to understand how and why the elimination method is a valid...\n
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Activity
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\n\"Dimes\n\n
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\nIllustrative Mathematics\n
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\nDimes and Quarters\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nHere is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...\n
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Lesson Plan
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\n\"Graphing\n\n
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\nWest Contra Costa Unified School District\n
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\nGraphing Systems\n

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\n\nFor Teachers\n\n7th - 9th\n\nStandards\n
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\nGet hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity...\n
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Instructional Video6:47
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\n\"Solving\n\n
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\nMathispower4u\n
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\nSolving Systems of Linear Equations by Graphing - Part 2\n

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\n\nFor Students\n\n8th - 10th\n\nStandards\n
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\nNot all systems have a single solution. To begin the video, the narrator reviews the different number of solutions possible with a system of linear equations. He continues with examples of solving systems of equations by graphing. Unlike...\n
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Lesson Plan
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\n\"Solution\n\n
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\nEngageNY\n
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\nSolution Sets to Simultaneous Equations (part 1)\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nHow are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...\n
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Lesson Plan
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\n\"Geometric\n\n
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\nEngageNY\n
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\nGeometric Interpretations of the Solutions of a Linear System\n

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\n\nFor Teachers\n\n8th\n\nStandards\n
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\nAn intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...\n
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Worksheet
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\n\"Math\n\n
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\nCurated OER\n
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\nMath Sheet #5 Systems Of Equations\n

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\n\nFor Students\n\n8th - 10th\n
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\nSolve systems of equations using the substitution or elimination method. Kids can practice by solving each of the five problems on this one-page worksheet.\n
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Interactive
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\n\"Cramer's\n\n
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\nCK-12 Foundation\n
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\nCramer's Rule\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nUse matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.\n
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Assessment
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\n\"Smarter\n\n
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\nCCSS Math Activities \n
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\nSmarter Balanced Sample Items: High School Math – Target J\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nGood graphs make solving systems simpler. Pupils answer 18 questions shown in a PowerPoint presentation as part of the Claim 1 Item Slide Show series. By considering these questions, they review the concepts of graphing equations and...\n
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Worksheet
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this algebra worksheet, students solve systems of equations using matrices. There are 24 questions to be solved.\n
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Lesson Plan
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\n\"Watch\n\n
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\nFredonia State University of New York\n
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\nWatch Your Step…You May Collide!\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nCan two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...\n
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Instructional Video15:18
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\n\"Substitution\n\n
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\nFlipped Math\n
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\nSubstitution Method\n

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\n\nFor Students\n\n9th - 10th\n
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\nThere's no substitute for practice. Pupils learn to set up a system of equations given a real-world situation by watching a video. They watch as the narrator works through several examples of solving systems of equations using...\n
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Lesson Plan
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\n\"Getting\n\n
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\nEngageNY\n
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\nGetting a Handle on New Transformations 2\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nUse 2x2 matrices to move along a line. The second day of a two-day instructional activity is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation...\n
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Instructional Video12:01
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\n\"Systems\n\n
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\nKhan Academy\n
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\nSystems of Equations with Elimination (and Manipulation), High School Math\n

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\n\nFor Students\n\n8th - 10th\n
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\nSal begins this video by \"massaging the equations slightly to prepare them for elimination.\" The equations won't be the only relaxed part of this lesson, which introduces the concept of multiplication to systems of equations. Viewers...\n
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Lesson Plan
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\n\"Systems\n\n
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\nAlabama Learning Exchange\n
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\nSystems on a Mission\n

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\n\nFor Teachers\n\n6th - 8th\n\nStandards\n
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\nSolve systems of equation problems using four different methods: elimination by addition or subtraction, graphing, elimination by multiplication, and substitution. Middle schoolers are then given a series of \"missions\" to complete.\n
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Worksheet
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\n\"Quadratic-Linear\n\n
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\nCurated OER\n
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\nQuadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...\n
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Interactive
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving System of Equations by Addition\n

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\n\nFor Students\n\n9th - 11th\n
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\nFor this Algebra I/Algebra II worksheet, students solve systems of linear equations by addition.  The one page interactive worksheet contains ten questions.  Answers and hints are provided.\n
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Worksheet
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\n\"Topic\n\n
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\nCurated OER\n
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\nTopic 4.6 - Using Matrices to Solve Systems of Equations\n

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\n\nFor Students\n\n7th - 9th\n
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\nIn this matrix equation instructional activity, students write a matrix equation for each of 3 systems. They then solve 6 matrix equations.\n
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Worksheet
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\nCurated OER\n
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\nTopic 3.2 - Solving Systems of Equations Algebraically\n

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\n\nFor Students\n\n8th - 10th\n
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\nIn this algebraic equation worksheet, learners solve 6 systems of equations using substitution. They then solve 6 more in which they use elimination.\n
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Lesson Plan
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\n\"Left\n\n
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\nCurated OER\n
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\nLeft Hand, Right Hand - Solving Systems of Equations\n

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\n\nFor Teachers\n\n8th - 12th\n
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\nStudents compare the speed at which they write with their left hand to the speed at which they write with their right hand. The experiment serves as a vehicle to help students develop a conceptual understanding of the three different...\n
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Instructional Video0:07
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Solve a Word Problem Using the Elimination by Subtraction Method?\n

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\n\nFor Teachers\n\n6th - 12th\n
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\nUse word problems to teach systems of equations! The instructor in this video demonstrates how to solve a word problem using a system of equations and the elimination by subtraction method. She goes through each step, carefully...\n
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Worksheet
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\n\"Equation\n\n
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\nMath Worksheets 4 Kids\n
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\nEquation in Matrix Form\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nThis simple, neat, worksheet, gives learners some systems of linear equations to translate into matrix form. An answer key is included. The matrix of rows and columns are then ready for students to take the next step of solving the...\n
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