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Discussion Sheet 4: Limits & Differentiation
In this limits and differentiation worksheet, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a...
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Discussion Sheet 5: Differentiate Functions
In this differentiate function worksheet, students differentiate functions, determine intervals, and derive the equation of a line tangent to a graph of a function. This two-page worksheet contains eleven problems.
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Finding Extrema Graphically and Symbolically
In this extrema worksheet, students use graphing calculators and the optimization method to identify the maximum and minimums of a given function. They compute the first and second derivative, and graph the functions. This eight-page...
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The Product and Quotient Rules
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
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New Functions From Old, Part 1
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
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Challenge Sheet 6: Fractions Decomposition
For this fractions decomposition worksheet, students set up partial fractions decomposition for rational functions. They use any method to integrate problems and derive recursion formulas for integrals. This one-page worksheet contains...
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Discussion Sheet 8: Area
In this area worksheet, students use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page worksheet...
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Discussion Sheet 9: Volume and Area
For this volume and area worksheet, students find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume. This...
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Continuous Functions
In this continuous function instructional activity, learners determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page...
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Worksheet 15: Velocity
In this velocity worksheet, students read story problems, write equations and determine distance, velocity and time. They derive an equation for the function. This two-page worksheet contains seven multi-step problems.
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Differential Equations
For this differential equation worksheet, students find the derivative of given equations and express their answers as Maclaurin series. This two-page worksheet contains examples and explanations. There are two problems in this worksheet.
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Probability and Standard Deviation
In this probability and standard deviation worksheet, students answer 5 questions derived from one scenario that involving finding percentages.
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Home Spelling Practice: Words From Names and Places
In this spelling activity, learners learn to spell 20 words in a list. All words are derived from names or places. Example: zeppelin, pasteurize, panic, mackinaw. Students write each word one time on the lines.
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The Corner Problem
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
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What Are You - Prime or Composite
Students explore the concept of prime factorization. In this prime factorization activity, students participate in an activity where they find the prime factorization and greatest common factor of a number derived from their name....
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Limits of Trigonometric Functions
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
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Test on Limits and Continuity
Students review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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Product Rule
Students define the product rule and use it to solve problems. In this calculus lesson, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by proving...
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Implicit Differentiation
Students define and use implicit differentiation to solve equations. In this calculus lesson, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
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Lesson #55 Test on Logarithms and Exponentials
Twelfth graders assess their knowledge of logarithmic and exponential functions. For this calculus lesson, 12th graders demonstrate their knowledge of all concepts of logarithmic and exponential functions. Students apply the...
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L'Hopital's Rule
Students solve limit problems. In this solving limit problems lesson, students use L'Hopital's Rule. Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is zero. Students...
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AP Calculus Exam
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
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The Logarithm Function, Part II
In this Calculus lesson, students determine the domain and find the derivative of logarithm functions. This one page interactive worksheet contains seven problems. Answers and solutions are provided.
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Integrations Applications
In this algebra worksheet, students solve functions using integration and the derivative to find the area and volume of a curve. There are 11 questions.
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