Curated OER
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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Sitting on Nails-Boyle's Law
Students experience pressure as a force per unit area in this experiment with a board of nails. In this physics instructional activity, students discover Boyle's law as they perform experiments with pressure.
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Space Ship Pilot
Students visualize the relation between acceleration and velocity in 2 dimensions. They are introduced to Newton's first law,and Newton's second law. Students work on an exploration activity where they condsider an example of a...
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Linear Systems
In this linear systems activity, 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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Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra instructional activity, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page instructional activity contains examples, explanations, and approximately...
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Momentum
High schoolers learn the concepts of momentum and its conservation, using the recoil of a cannon as an example. They examine how momentum is a vector, allowing its conservation to be applied to problems in 2 and 3 dimensions.
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Understanding Computer Images
Ninth graders explain differences between bitmapped images and vector images. They calculate pixels and transpose the raw file size to bits, bytes, and kilobytes. They compare formats for displaying images on a Web page.
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Linear Systems: Nullspace Matrix and Rank
In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...
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Worksheet 27 - Spring 1996
In this math worksheet, students examine the position of an object and then use the formulas to determine its path over time. Then they apply the information in order to determine the traveling path of an asteroid in space.
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Linear Systems: Orthogonality of Subspaces
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
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MT-A315 Introduction to Linear Algebra: Worksheet 1.5
In this linear algebra instructional activity, students examine a matrix, determine the vectors, list the parameters, and identify the null space. Students explain the parameters in the description of the null space There are four...
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MT-A315 Introduction to Linear Algebra
In this algebra activity, students figure out the equation of the general vector, they find the orthogonal basis and apply the formula to solve the problems.
Teach Engineering
Drawing Magnetic Fields
Class members use a compass and several points to map out the magnetic field of a magnet. Pairs trace the magnetic field lines produced by a permanent magnet by positioning the compass in numerous spots around the magnet to view the...
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Linear Systems: Definition of the Nullspace
In this nullspace instructional activity, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page instructional activity contains...
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Linear Systems: General Solutions
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
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Gravity and Circular Motion
Go around and around in your physics class with this presentation on circular motion. Diagrams bring the definition to life. Formulas for angular acceleration, centripetal force, gravitation, and potential in a radial field are given....
Teach Engineering
Magnetic Fields
Introduce your class to magnetic fields with an activity that demonstrates that a compass is affected by the magnetic field of the earth, unless a closer, stronger magnetic field is present. Pupils can use this fact in the associated...
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Automobile-Accident Reconstruction
Students investigate an accident and relate it to math. In this trigonometry lesson, students measure the accident scene, the friction produced, and the speed from the skid marks. They create a poster of their findings.
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Sciences Working Together
Young scholars research articles about science technology and society. In this science and technology instructional activity, students answer questions about an article they chose. They share what they learned with their peers.
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MT-A315 Introduction to Linear Algebra
In this algebra learning exercise, students practice using number sets and principles of algebra to solve each complex problem using number sense.
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Coordinate Plane
Tenth graders plot points on a coordinate plane. In this geometry instructional activity, 10th graders identify the different quadrants, plots points on a number line and coordinate plane and solve for the midpoint of line segments.
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Science: Electric Fields from Point Charges
Students examine electric fields using viewers to discover the direction of positive charges and the location of the field's strength. They experiment with positive, negative, like and opposite charges. Students also describe how...
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Worksheet 14 Spring 1996
In this math worksheet, students answer the questions in the context of either being true or false. The topics covered include derivatives and differential equations.
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Worksheet 36
In this math learning exercise, students apply the rules of Calculus to determine if each statement is true or false. If it is false they rewrite the mathematical proof to make it true.