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2 X 2 Linear Systems
Pupils solve 2 X 2 systems graphically and algebraically. They investigate parallel systems. They solve application problems using 2 X 2 systems.
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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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Linear Systems
In this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
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Dimensions of Subspaces
For this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
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Integrated Algebra Final Exam
For this integrated algebra worksheet, students solve problems involving system of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
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Prius Problem #1
In this problem solving worksheet, students find the average mile per gallon for each of two cars. Students need knowledge of systems of equations in order to complete this problem.
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Linear Systems: Orthogonal Matrices
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
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Linear Systems: Identifying Pivots and Multipliers
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page worksheet contains...
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Left Hand, Right Hand - Solving Systems of Equations
Students 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...
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Linear Systems: Identifying Pivots and Multipliers
In this identifying pivots worksheet, students use algebra to find equivalent systems of equations. This four-page worksheet contains examples, explanations and approximately ten problems.
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Solving Equations By Systematic Trial
Studentss solve equations using guess and check. In this algebra lesson, students solve linear equation using the systematic trial. They isolate and identify the missing variable using non tranditonal methods.
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Systems of Inequalities
In this Algebra I/Algebra II worksheet, students determine the solution to a system of inequalities by graphing. The two page worksheet contains explanation, instruction, and four worked problems.
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Demonstrate the Law of Conservation of Linear Momentum
Students observe a demonstration of linear momentum. In this linear momentum instructional activity, students observe a series of demonstrations of linear momentum and qualitative observations.
PBL Pathways
Arsenic and Selenium Removal From Drinking Water at a Minimal Cost
Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
Curated OER
Border Patrol ID: 11603
Incorporate technology in your classroom by teaching your students how to graph systems of linear inequalities as they apply to an area of land. The lesson provides an extension in which students are challenged to write a system of...
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Introductory Module
Third graders examine the non-standard method of measurement and compare it to the metric system of measurement. In this introductory module lesson, 3rd graders discover the scientific observation. Students also develop communication...
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Linear Systems: Independence, Basis and Dimension
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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Linear Systems: Vector Spaces
In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...
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Conic Sections and Nonlinear Systems of Equations
For this conic sections and nonlinear equations worksheet, students solve 25 multiple choice problems. The worksheet is a review of the conic sections and nonlinear systems chapter of an intermediate algebra course, so the topics vary...
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How Do They Relate? Linear Relationship
Students collect information and use a line to represent it. In this algebra lesson, students investigate real world data to see if it makes a line. They graph the line comparing the relationship of the x axis with that of the...
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Linear Systems: Nullspace Matrix
In this linear systems worksheet, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page worksheet contains explanations, examples and four problems to solve.
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Linear Systems: Least Square Regression
In this least square regression worksheet, students find solutions to given linear systems. They draw pictures, draw a vector and prove the solution. This two-page worksheet contains eleven problems, with some examples and explanations.
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