101 Questions
Basketball Shots
Shoot for greater understanding of systems. Pupils watch a short video of a man attempting basketball shots, both one-point free throws and two-point field goals. Given the total number of shots and total number of points made, viewers...
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Solving Systems of Equations by graphing for Algebra One
Students watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
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Graphing To Solve Systems of Equations
Students explore graping linear equations and their relevance to real life situations. After a teacher led demonstration, students work at their desks and on the board to plot points and determine the slope of a line. Students then...
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Linear Systems: Applications of Linear Algebra to Differential Equations
In this differential equations instructional activity, learners solve systems of simultaneous differential equations using linear algebra. This six-page instructional activity contains approximately six problems, with explanations and...
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Solving Systems by Substitution
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
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Math 214 Quiz 10 - Linear Systems
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
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Solving Linear Systems by Graphing
In this linear systems worksheet, 9th graders solve and complete 4 different problems by graphing. First, they graph the first equation shown. Then, students graph the second equation on the same coordinate system as the first. They also...
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Solving Linear Systems by Substitution #1
In this problem solving activity, 6th graders work out and solve 4 mathematical equations involving linear systems by substitution #1.
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Solving Linear Systems By Graphing
In this graphing worksheet, students solve 2 linear systems by graphing the equations on the given x/y axis. They record their answers in the graph.
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Linear Systems Review Problems
For this linear systems worksheet, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...
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Multivariable Calculus: Linear Systems
In this linear systems learning exercise, students perform matrix multiplication. This two-page learning exercise contains examples, explanations, definitions, and four problems.
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Linear Systems Quiz 4
In this math worksheet, learners review the concepts needed for quiz 4. Then they practice finding the answers to the linear systems using elimination.
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Linear Systems Review for Exam 1
In this math instructional activity, learners practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.
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Linear Systems Quiz 6
In this math activity, students practice finding the solutions for the linear systems in the form of a quiz. They focus upon finding the eigenvalues and eigenvectors of a matrix.
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Linear Systems/ LU Decomposition
In this math worksheet, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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Linear Systems: Reduced Row Echelon Matrix and Rank
Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...
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Introduction to Parametric Equations
Students write and solve parametric equations. In this algebra lesson, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.
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Linear Systems: Differential Equations
In this differential equations learning exercise, students solve collections of simultaneous differential equations. This six-page learning exercise contains examples, explanations, and approximately six problems.
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Linear Equations
In this algebra worksheet, students solve linear equations and graph their answer. They add and subtract integers and compare them using a number line. There are 15 questions with an answer key.
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Solving Equations Using Two Operations
Need more detail in showing your class how to solve two-step equations and proportions? This lesson plan outlines the steps young mathematicians need to solve simple equations and check their results.
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Graphing Linear Equations
In this math learning exercise, students practice solving systems of linear equations using the elimination and substitution methods. They also graph the solutions.
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Linear Systems: Nullspace
For this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
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Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the...
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Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...