University of Adeaide
Basic Trigonometry and Radians
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
Curated OER
Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on exponential and...
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Partial Fraction Review Problems
In this college Calculus activity, students determine the value of the integrals using partial fractions. The one page activity contains six problems. Answers are not included.
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Worksheet 2 - Spring 1996
In this math worksheet, students state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
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Worksheet 2
In this math worksheet, 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
Young scholars integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Young scholars...
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Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. For this calculus lesson, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
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Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus instructional activity, 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 learning exercise, 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...
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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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An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus instructional activity, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the instructional activity, students investigate...
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Worksheet 3
In this math worksheet, students 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 learning exercise, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page learning exercise contains twenty-eight multiple choice questions. Answers...
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Lesson #139 A.P. Exam Review
Students 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 learning exercise, students 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
Learners investigate Riemann Sums. In this calculus instructional activity, students solve problems involving Riemann sums and Right Riemann Sums.
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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