Curated OER
Worksheet 2
In this math instructional activity, students state the definition of a definite integral. Then they describe the Fundamental Theorem of Calculus.
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Sherlock Holmes' Real Train Adventure
In this calculus worksheet, students use the trapezoid and Simpson's rule to calculate the midpoint sum. They use a specific interval to perform their integration. There are 12 questions.
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The Exact Differential
Pupils integrate functions using u substitution. In this integrating functions using u substitution lesson plan, students integrate functions by setting part of the function equal to u and the other part equal to du. Pupils...
Curated OER
Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson plan, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
Curated OER
Trapezoid and Midpoint Rule
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
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Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus lesson, students solve areas rotated and bounded by two functions. They solve using the washer method.
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Exploring the FTC using the TI
Students use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
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Worksheet 38
In this math activity, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...
Curated OER
Worksheet 36 - Fall 1995
In this math worksheet, students examine the formula for creating a chemical compound. Then they seek to compute the use of an integration.
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Worksheet 3
In this math worksheet, learners calculate the indefinite integrals. They also find the differential functions. Finally social diffusion is used to describe how information is passed through a sample population.
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AP Calculus Practice Exam
In this calculus worksheet, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page worksheet contains twenty-eight multiple choice questions. Answers are...
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Lesson #139 A.P. Exam Review
Learners study for the A.P. Calculus exam. In this integrals lesson students complete a worksheet titled, "Stupid Integrals Sheet (a link to the answer key is included).
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The Substitution Rule
In this college level Calculus worksheet, students use the Substitution Rule to evaluate the given integrals. The one page worksheet contains nineteen problems. Answers are not provided.
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Discussion Sheet 6
In this math worksheet, learners discuss the use of triple integrals and explore the volumes. Then they determine the volume of the donut.
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Differential Equations
In this differential equations worksheet, students solve and complete 3 sets of various problems. First, they solve each of the differential equations. Then, students use the given information to evaluate the constant of integration....
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Integration Unit: Riemann Sum
Students investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...
CK-12 Foundation
Differential Equations Representing Growth and Decay: Rice Legend
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...
CK-12 Foundation
Trapezoidal and Midpoint Approximations: Area of a Skirt
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Curated OER
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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Worksheet 3
in this math worksheet, learners define the meaning of a differential equation. Then they examine the method of solving a separable equation.
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Numerical Analysis: Dimensional Vectors
In this dimensional vector instructional activity, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page instructional activity contains approximately...
Curated OER
Worksheet 13
For this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.