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Precalculus: Function Models for Real-Life Situations
Students use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
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Total Distance Versus Displacement
High schoolers investigate the total distance and displacement while examining traveling distances. They determine the displacement and total distance traveled in a variety of different problems. The lesson includes examples that can be...
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Polar And Cartesian Coordinates
Students engage in a lesson that is about the study of Cartesian and Polar Coordinates. They play a game of Battleship to create the context for the lesson. The examples in the lesson can be used as a guide for the students or the teacher.
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Domain of a Function
In this precalculus worksheet, students examine and determine the domain of the three functions provided and apply them to the three problems.
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Telescoping Sums Theorem
In this math worksheet, students read the information and examples that progressively prove the Telescoping Sums Theorem. They work the examples on their own.
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Worksheet 17 Practice Exam
In this math worksheet, students complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.
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Worksheet 35
In this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
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Worksheet 33
For this math worksheet, students find the solutions to the wave equations that are presented in a variety of situations. They also sketch a solution as directed.
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Worksheet 26
In this math worksheet, students take the time to consider the heat equation. Then they analyze the solution and apply it to a variety of other uses.
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Worksheet 17
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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Worksheet 10
In this math activity, students examine the concepts of upper division mathematics. They include linear operator, homogeneous, characteristic equation, fundamental solution set (solution basis), principle of superposition, Wronskian,...
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Worksheet 29 Spring 1999
In this math worksheet, students describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.
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Worksheet 25- Spring 1996
In this math worksheet, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
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Worksheet 28 - Spring 1996
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
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Worksheet 21 Spring 1996
In this math instructional activity, 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 15 - Spring 1996
In this math worksheet, learners solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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Worksheet 14 - Spring 1996
In this math activity, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
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Worksheet 18 - Spring 1996
In this math activity, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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Worksheet 12 - Spring 1996
In this math learning exercise, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
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Worksheet 20
In this math worksheet, students Investigate the structure and function of how the numbers of people infected with HIV changes over time. They answer the fact of it either increasing or decreasing.
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Worksheet 19
In this math worksheet, students try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.
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Worksheet 22
In this math activity, students apply the following: In physics, the equation W=Fd gives the amount W of energy expended in moving a distance d by applying a constant force F.
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Worksheet 23
For this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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