Curated OER
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.
Curated OER
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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Linear Systems: Orthogonal Matrices
In this orthogonal matrices activity, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page activity contains approximately six...
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Using Linear Algebra to Solve Systems of ODE's
In this math worksheet, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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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: Vector Spaces
In this vector spaces instructional activity, 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. ...
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Linear Systems: Independence, Basis and Dimension
For this basis and dimension worksheet, learners explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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Linear Systems: Fundamental Theorem
In this fundamental theorem learning exercise, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page learning exercise contains examples, explanations and three problems.
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Systems-Angle Problems
In this geometry learning exercise, 10th graders use systems of linear equations to solve word problems which involve supplementary and complementary angles. The one page learning exercise contains ten problems. Answers are...
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Linear Systems: Fundamental Theorem
For this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
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Linear Systems: Elimination
In this elimination learning exercise, students use the elimination process to transform a system into an equivalent form. This three-page learning exercise contains three practice problems as well as examples and explanations.
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...
Noyce Foundation
Digging Dinosaurs
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
Curated OER
Solving Systems of Equations by graphing for Algebra One
Learners 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...
Curated OER
Linear Systems: Rectangular Matrices
In this rectangular matrices learning exercise, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page learning exercise contains examples, explanations and...
101 Questions
Coin Counting
Cash in on a great resource. After watching a video of a coin counter, pupils estimate the number of coins and the amount of money they see. They then use additional given information and systems of equations to find the actual values.
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Border Patrol
Young scholars investigate systems of linear inequalities as they apply to an area of land. They practice graphing systems and determine if a point lies in the solution.
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Solving Systems vis Elimination
Learners solve systems of equation using elimination. In this algebra lesson, students identify the type of solutions produces by systems of equations. They discuss the type of lines formed given a linear pair.
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Systems of Equations
In this algebra worksheet, students solve systems of equation through graphing, linear combination and substitution. There are 3 questions.
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The Number of Solutions for a System of Equations.
Students define lines as dependent, independent and no solution. In this algebra lesson, students identify the type of solutions produces by systems of equations. They discuss the type of lines formed given a linear pair.
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Graphing System of Equations
Students solve system of equation. In this algebra instructional activity, students graph, substitute and eliminate to solve system of equation. They identify the point of intersection and how many solution each system will have.
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Graphing Solution of a Quadratic and Linear System
In this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
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Systems of Equations
Students solve problems using systems of equations. In this algebra lesson, students find the point of intersection of two lines. They use the TI Calculator to graph and see the point of intersection.
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What is a Solution to a System?
Pupils define the solution to a system of equation. In this algebra lesson, students graph two line on the TI calculator and identify the point of intersection if there is any. They find one, zero or infinitely many solution and explain...
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