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Taylor's Theorem
In this Taylor's Theorem instructional activity, 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. ...
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Implicit Differentiation
For this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
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The Derivative
In this derivative learning exercise, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page learning exercise contains definitions, examples and...
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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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Physics Lab Rockets
Young scholars construct and test balloon rockets and a model rocket. In this rocket science lesson, students use an inquiry-based method to master balloon rockets and have a shoot-off with the goal of attaining the highest altitude....
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Properties of Curves
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. Answers are...
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Ten Multiple-Choice Circle Problems
In this circle worksheet, students solve ten multiple-choice questions concerned with the area, radius, diameter, and circumference of a circle. The solutions are provided by clicking on the "show answers" button on the bottom of the page.
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Tree Identification
Students list four ways to identify trees. In this tree identification instructional activity, students use tree identification techniques such as leafs, bark, wood grain, soil type, and climate to create tables and graphs.
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The Right Angle
In this algebra worksheet, students rewrite word problems using an algebraic equation to find the answer. There are 14 questions with an answer key.
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Pike's Peak Problem
In this algebra worksheet, students answer a word problem about a distance-rate multiplied by times problem. They discuss slope and altitude. There is an answer key with this problem.
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Implicit Differentiation
Students implicitly differentiate functions . In this implicitly differentiating functions activity, students take the derivative of functions that cannot be solved for a variable. Students find the derivative of an equation for a...
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Twelve Facts About e
In this e worksheet, students are presented with several facts about e and Euler. Students are also given a technique to help them remember the numerical approximation for e.
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Seven Sets of Area Problems
In this area worksheet, students solve for the area of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, circles, and surface area. The worksheets is divided into seven different sets of problems.
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Higher Order Differentiation and Implicit Differentiation
In this differentiation instructional activity, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.
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Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam
In this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator. This worksheet should be completed in fifty-five minutes.
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AP Calculus Practice Exam
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam. Problems include limits, derivatives, and integrals. The four page worksheet contains twenty-eight problems. Answers are not...
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Sixteen Multiple Choice AP Calculus BC Exam Preparation Questions
In this review for Calculus BC exam worksheet, students solve sixteen various multiple choice problems. These problems are designed as review and preparation for the AP Calculus Exam.
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Converging Series
In this functions worksheet, students calculate the average value, continuity, and the radius of convergence. There are 17 multiple choice questions.
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A.P. Calculus Exam Prep
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
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Math 155 Worksheet 7
In this college level Calculus worksheet, students use implicit differentiation to find dx/dy or the rate of change. The two page worksheet contains six problems. Answers are not included.
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Limits
In this college level calculus worksheet, students evaluate limit and indicate any limit rules they apply. If the limit does not exist they explain why. The two page worksheet contains seven problems. Answers are not provided.
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What are the Ages of Three Daughters Given the Product and Sum of Their Ages
In this problem solving instructional activity, students identify the age of a man's three daughters. The students are given the product and sum of the daughter's ages as well as the fact that the oldest daughter like vanilla yogurt. ...
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Inverse Trig Functions: Chain Rule
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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Using Trigonometric Ratios
Students solve problems using sine and cosine. In this trigonometry lesson, students apply the properties of sine and cosine to solve triangular problems. They identify when to use law of sines using angle-side relationships.
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