Curated OER
Integrals with odd powers of secant and tangent
Twelfth graders solve equations containing powers of sec and tan. In this caclculus lesson, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
Curated OER
Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the...
Curated OER
Calculus Practice Test: Velocity, Functions
In this calculus instructional activity, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance....
Statistics Education Web
It Creeps. It Crawls. Watch Out For The Blob!
How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...
Curated OER
Multivariable Calculus Quiz 9
In this math worksheet, students practice the calculus problems that involve integrals. Then they use the rules to complete the quiz by showing all the work for the two problems.
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Calculus Test
In this calculus worksheet, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
Curated OER
Evaluate Integrals
In this evaluating integrals worksheet, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...
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Basic Calculus II: Fundamental Theorem of Calculus
In this fundamental theorem worksheet, students find the antiderivative of a function. This two page worksheet contains five multi-step problems.
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Basic Calculus II: Quiz 7
In this improper integrals learning exercise, students explain the reasons each of three integrals may be considered improper. They evaluate each by determining if it converges to a number or diverges.
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Using Riemann Sums
In the Riemann sums instructional activity, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page instructional...
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NEXT GENERATION SPACECRAFT-Orion
Students investigate the volume of a solid. In this calculus lesson, students use integration to find the volume of a solid generated by a region, the Orion crew module.
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Worksheet Two
In this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
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
Basic Calculus II: Techniques of Integration
In this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...
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
Integration of Functions
In this calculus worksheet, students integrate given functions following the integration rules. They simplify their answers with trig. values. There are 8 questions with an answer key.
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Integration Review Part 1
For this college level calculus worksheet students apply various integrations techniques and use integration to determine the area bounded by curves. The three page worksheet contains eight problems Answers are not...
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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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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Timed Caluculus Exam
For this Calculus worksheet, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
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Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.