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Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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Integrals with odd powers of secant and tangent
Twelfth graders solve equations containing powers of sec and tan. For this caclculus lesson, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
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...
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NEXT GENERATION SPACECRAFT-Orion
Students investigate the volume of a solid. For 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...
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Area Under A Curve
Calculus learners 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...
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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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MVT for Integrals
Learners identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
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The Calculus Whiz Who Loved Candy
Students develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
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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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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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Filling The Urn
Students calculate the area under a curve. In this calculus lesson,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
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Getting a Little "Lift"out of Calculus
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
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Shortest Path
High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...
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Seeing Mathematics in the Forces of Nature
Learners study waves and their characteristics. In this wave lesson plan students calculate the speed of waves, wavelength and the period.
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Video On Integration And Quiz On Induction
Learners engage in a lesson that is concerned with the concepts of integration and induction. They view a video about integration and take a quiz on induction. Students use the resource links to view information added to the lesson to...
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Attributes of Renewable Energy: From Nanopossibilities to Solar Power
Young scholars explore solar energy, why we use it and how we use it. In this renewable energy lesson students compare active and solar techniques.
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Disc/Washer Method
Students calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create...
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Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Learners explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
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Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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Little Red Corvette
Students investigate the acceleration of a car. In this acceleration of a car lesson, students make a scatter plot of corvette acceleration data. Students find a model to fit the data by taking the integral of the curve...
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Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
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Finding Areas of Plane Figures
Students compute areas of squares, rectangles, and so on and summarize the formulas for computing areas and explain how the formulas are derived and understand the reasoning behind them.
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Roller Coaster Robot
Students calculate the area under a curve. In this calculus instructional activity, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.