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Lesson Plan
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Vertical and Horizontal Translations

For Teachers 11th - 12th
Students analyze function graphs.  In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
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Worksheet
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Trigonometry Worksheet for Test 5

For Students 11th - 12th
In this trigonometry activity, students look for the answers to the problems to many functions and define the terms found there.
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Lesson Plan
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Linear and Quadratic Approximations

For Teachers 11th - 12th
Students explore a linear, a parabolic, and a log function.  In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Students examine the three graphs as they compare and contrast...
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Worksheet
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Trigonometry: Worksheet for Test #4

For Students 10th - 11th
In this trigonometry worksheet, students determine whether given mappings are functions. They evaluate 5 functions for a given x value. Students graph 2 functions. They determine which ordered pairs are solutions to given functions....
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Worksheet
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Limits

For Students Higher Ed
In this limit worksheet, students evaluate functions and determine the limits of the function. This one-page worksheet contains 10 problems.
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Worksheet
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Complex Analysis: Complex Exponential

For Students Higher Ed
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
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Worksheet
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Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation instructional activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page instructional activity...
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Worksheet
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Review Questions for Midterm 2

For Students 12th - Higher Ed
For this review worksheet, students prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page worksheet contains seven problems.
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Worksheet
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Math 155 - Spring 2002 Worksheet: Limits

For Students 11th - 12th
In this limits worksheet, students solve 6 short answer problems.  Students find the limits of functions, points of discontinuity, and the derivatives of functions.
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Lesson Plan
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Exploring the Witch of Agnesi

For Teachers 9th - 12th
high schoolers construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
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Worksheet
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Worksheet 6.7 MT-A141 PreCalculus

For Students 10th - 11th
In this PreCalculus worksheet, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
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Worksheet
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Some Elementary Derivative Formulas and Rules

For Students Higher Ed
In this derivative formula worksheet, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page worksheet...
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Worksheet
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Math 155 Worksheet 1

For Students Higher Ed
In this college level Calculus worksheet, students review factoring, rationalization of a denominator, and functional notation to prepare for differentiation.  The two page worksheet contains six problems.  Answers are not included. 
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Worksheet
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Taylor's Theorem

For Students Higher Ed
In this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...
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Worksheet
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Understanding Limits

For Students Higher Ed
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page worksheet contains examples and explanations, as well as eleven problems.
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Worksheet
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PreCalculus: Final Examination

For Students 10th - 12th
For this final examination worksheet, students find the tangent function and sine function.  They graph problems on a polar coordinate.  Students describe trigonometric properties.  This twelve-page worksheet contains 80 problems.
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Worksheet
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Numerical Analysis: Introduction to Approximation Theory

For Students Higher Ed
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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Worksheet
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Finding Roots and Newton's Method

For Students Higher Ed
In this roots instructional activity, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page instructional activity...
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Worksheet
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Clarification and Extra Problems for Homework 10: Metric Space

For Students 12th - Higher Ed
In this metric space worksheet, students define a compact metric space, and explore continuous functions. They prove a function converges uniformly. This one-page worksheet contains six problems.
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Lesson Plan
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Match Me Plus

For Teachers 9th - 12th Standards
Have your class investigate Piecewise functions by matching a position versus time graph to the function that describe the walk.
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Lesson Plan
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The Unit Circle

For Teachers 9th - 11th
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
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Lesson Plan
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BC Series 1 - Derivatives

For Teachers 10th - 11th
In this function worksheet, young scholars find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
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Worksheet
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Reviewing the First Unit

For Students Higher Ed
In this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...
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Worksheet
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Roots and Zeros

For Students 11th
In this roots and zeros worksheet, 11th graders solve and complete 9 different problems. First, they state the number of positive real zeros, negative real zeros, and imaginary zeros for each function. Then, students find all the zeros...

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