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Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
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Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
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Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
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MA 439-Math of Image Processing
In this image processing worksheet, students use a matrix to solve ten problems. For the first six problems, kids are guided to the answer by carefully sequenced questions. The final four problems require students to make a series of...
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Solving Systems with Row Operations 1
Students solve systems of equations. In this algebra instructional activity, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
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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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Fun With Fractals
Students use fractals to analyze nature. In this geometry instructional activity, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.
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Introduction to Vector Spaces
In this vector spaces activity, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page activity contains 13 problems.
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Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
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Multivariable Calculus: Implicit Differentiation
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
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Cryptography on the TI-83 Graphing Calculator
Students explore the history of cryptography. They assess function notation and transformation, matrix operations, and the fundamentals of modular arithmetic. Using graphing calculators, students develop their own encryption schemes.
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Multivariable Calculus: Curvilinear Coordinates
For this curvilinear coordinate worksheet, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
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Promote Precalculus
Use projects, real-world activities, and games to bring precalculus to life for students.
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Linear Systems: Identifying Pivots and Multipliers
In this identifying pivots learning exercise, students use algebra to find equivalent systems of equations. This four-page learning exercise contains examples, explanations and approximately ten problems.
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Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
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The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...