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Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and...
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The Effect of Rain on Morning Temperatures
Eighth graders study the effects of the water cycle. They create a graph of the air temperature versus solar radiation on a rainy and clear 24 hour period using data from a provided link. Afterward, they answer questions to determine the...
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Relative Humidity & Dew Point
Pupils use a 24-hour graph of air temperature, relative humidity, and dew point to describe at least one reason why the variables change (or don't change) during the day. They use given scenarios to identify and describe the problems...
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Working With DOS Applications
In this technology worksheet, students practice running the startup using systems that focus upon the DOS setup applications.
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Waves Velocity & Particle Velocity
In this physics learning exercise, students examine a single wave pulse which travels down a slinky. Then they sketch a single ring of the slinky as the wave goes by and determine whether the wave is constant or not.
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Interpreting Your Data
In this water quality sampling learning exercise, students organize and analyze their data from samples they have collected. After analyzing based on 9 guide questions, they complete 18 short answer questions about fish, benthic, and...
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Math 53 - Review for Midterm 1
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
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Worksheet 12
For this math worksheet, students explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.
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Worksheet 21 Spring 1996
In this math worksheet, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Worksheet 22 - Spring 1996
students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
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Worksheet 27
For this math worksheet, students examine the equations for the planets of Mercury and Saturn. Then they find the distance of Saturn’s closest and farthest approach to the sun.
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Worksheet 23
In this math worksheet, students define the sets of vectors. They also observe the concept of area for the parallelogram and how vectors are used.
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Numerical Analysis/ Examples of Round Off Errors
In this math worksheet, students practice computing the errors for rounding off and use the skill of analysis to find the true solutions.
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Implementing Algorithms Using Matlab
In this math worksheet, students practice implementing algorithms using the computer program of Matlab. They practice using the programs of scripts and functions.
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Perturbing Functions and Introduction to Matlab
In this math worksheet, students practice using the program of Matlab and apply them while using functions. They practice writing equations in truncated form.
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Numerical Analysis: Solving Systems Of Non-Linear Equations
In this numerical analysis learning exercise, students solve systems of non-linear equations. Examples and explanation are provided. This two-page learning exercise contains approximately three problems.
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Numerical Analysis: Discrete Least Squares
For 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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Numerical Analysis: Introduction to Approximation Theory
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
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Complex Analysis: Transformations
In this transformation worksheet, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page worksheet contains six...
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Math 224: Review of Linear Systems
In this linear systems worksheet, students find the intersection of two planes, and identify solutions for a linear equation. This two-page worksheet contains five problems.
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Thermodynamics
In this thermodynamics worksheet, students review enthalpy, state functions, bond energy, and heat capacity. This worksheet has 2 multiple choice, 6 matching, and 12 problems to solve.
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Matrices and Vectors
In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Vectors
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that passes...
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A Potpourri of Thermo Questions
In this thermodynamics worksheet, learners match terms to their definitions such as enthalpy, equilibrium, bond energy, and heat capacity. This worksheet has 20 words to match.
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