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Matricies: Meadows or Malls?

For Teachers All
Students explore the use of matrices and graphing calculators to solve a complex linear programming problem. They test their solutions to determine the best division of land use for the city.
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Eliminate What?

For Teachers 8th - 12th
Students are introduced to the elimination method in Algebra. As a class, they solve two linear equations with two unknowns using this new method. They discuss the positive and negative aspects of using this method to solve problems. ...
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Graphs

For Students 9th - 11th
In this algebra worksheet, students solve linear equations through graphing and quadratic equations through factoring. There are 4 questions dealing with systems of equations.
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How Many Solutions 2

For Teachers 9th - 12th Standards
High schoolers solve systems of equations. In this algebra lesson, students graph lines and identify the point of intersection. They identify the function to see if it is a function.
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Activity One Teacher Page: Vehicles In Motion

For Teachers 10th - 12th
Students identify variables that affect the system, and specify which variables are independent and which are dependent.
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Dream Catchers

For Teachers 4th
Fourth graders, after researching legends and the origin of Native American beliefs and thoughts about the use and importance of dream catchers in Native American cultures, create a Native American dream catcher. They use similar...
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Building A Nation

For Teachers 7th - 10th
Students build their own nation in groups where they create a name, flag, declaration of independence, form of government, mathematical layout, and more. In this nation lesson plan, students also provide a scale drawing of their nation...
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Augmented Matrices

For Teachers 9th - 12th Standards
Pupils write systems of equations in an augmented matrix and enter it into their calculator. They use the reduced row echelon function on the calculator to solve the system of equations.
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Maximizing Your Efforts

For Teachers 9th - 12th Standards
Students graph systems of equation. In this algebra lesson plan, students find where the lines cross and identify the type of solution. They analyze a graph and write the equation of the line.
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Slope of Line

For Teachers 9th - 10th
In this algebra worksheet, students calculate the slope of a line. They graph a linear equation given the slope and y-intercept and identify the slope and y-intercept given a linear graph. There are 15 questions.
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What's My Pattern?

For Teachers 7th - 8th
Students recognize, describe and extend patterns in three activities. They organize data, find patterns and describe the rule for the pattern as well as use the graphing calculator to graph the data to make and test predictions. In the...
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THE PHYSICS OF MOVING THINGS (AND NOT A MOMENTUM TOO SOON!)

For Teachers 7th - 9th
Students list three examples of momentum found in their local environment; describe the importance of mass and velocity on momentum; and determine what is necessary to produce the greatest amount of momentum within a particular system.
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Alice Computer Programming

For Teachers 6th - 8th
Young scholars explore multimedia components. For this science inquiry lesson, students read "Invitation to the Game" by Monica Hughes and they use the Alice Computer Programming System to better understand population dynamics.
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Analyzing Graphs of Two Equations

For Teachers 9th - 10th
Students analyze graphs of two equations. For this algebra lesson, students rewrite word problems as linear equations. They graph their solution and compare and contrast the two items being represented.
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Causal Patterns in Air Pressure Phenomena Section 3

For Teachers 6th - 11th
Learners investigate the effects of differences in air pressure on a system. They answer the question, "What makes a liquid go up a straw when you suck on it?".
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New York Exam

For Students 9th - 11th
In this algebra learning exercise, students review the basic concepts of algebra and linear equations. They solve polygons and shapes for their area and perimeter. There are 27 questions.
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Linear Systems: Vector Spaces of a Matrix

For Students 11th - Higher Ed
In this vector space matrix worksheet, learners decompose given vectors into two orthogonal pieces--one from the nullspace and another from the row space. this two-page worksheet contains examples and approximately five problems.
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Linear Systems: Projections

For Students 11th - Higher Ed
In this projection worksheet, students determine the projections if a given matrix. They take a vector and project it onto a line and subspace. This four-page worksheet contains examples and approximately seven problems.
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Linear Systems: Applications of Eigenvalues and Eigenvectors

For Students Higher Ed
In this Eigenvalue activity, students examine the applications of matrix exponentiation. This four-page activity contains examples, explanations and approximately three problems to complete.
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Linear Systems: Geometric Interpretation of Eigenvalues and Eigenvectors

For Students Higher Ed
In this interpretation of eigenvalues and eigenvectors instructional activity, students probe the given results of exponentiation of a matrix. They tell the implications of this result. Students prove that the eigenvectors of a symmetric...
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Linear Systems: Introduction to Vector Space

For Students 12th - Higher Ed
For this vector space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples, theorems, explanations, and approximately three problems.
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Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices worksheet, students find the eigenvalues of a matrix and discover that symmetric matrices are diagonalizable. This two-page worksheet contains examples, explanations and two problems.
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Linear Systems: Differential Equations

For Students Higher Ed
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 Systems: Vector Spaces and Subspaces

For Students Higher Ed
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...

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