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Video on Integration and Quiz on Induction
Students investigate proofs through practice and example. In this calculus lesson, students watch a video on integration, discuss induction and take a quiz. They prove their understanding of a proof by induction.
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Integrals by Partial Fractions
Students solve integrals using partial fractions. In this calculus lesson, students solve equations using the Heaviside Method if all the number in the denominators are not repeating. They complete an assignment in the text book also.
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Numerical Methods of Integration
Students calculate the area under a curve. In this calculus instructional activity, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
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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.
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Integrals involving Trig Substitution
Twelfth graders solve derivatives using trig substitution. In this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
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Fun Times with Integrals
Learners study techniques used for solving integrals. Using tangrams and hands-on activities, students perform basic integration techniques. They use artistic skills and real-world applications to discover more complex methods of...
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Introduction to Integration
Students discuss the importance of Integrals as it relates to calculus. In this calculus lesson, students define Integrals and practice taking the integrals of polynomials. They work problems to enhance their understanding of how...
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Integration Formulas
Twelfth graders review differential formulas and find their corresponding integration formula. In this calculus lesson, 12th graders review differential and integral formulas as it pertaining to solving calculus problems. They develop...
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Review of Techniques of Integration
Twelfth graders review techniques of integration. In this calculus activity, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle...
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Summary of Techniques of Integration
Learners define and review techniques for integration by parts. In this calculus lesson, students solve rational expression using integration and apply the partial fraction rule. They practice solving problems online.
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NEXT GENERATION SPACECRAFT-Orion
Students investigate the volume of a solid. In this calculus instructional activity, students use integration to find the volume of a solid generated by a region, the Orion crew module.
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MVT for Integrals
Students identify the meaning of the Mean Value Theorem. In this calculus instructional activity, 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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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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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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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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Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Students 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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Evaluating Definite Integrals With Substitution
Students investigate how to evaluate the definite integral with using substitution. They evaluate expressions when using the substitution method to find the definite integral. The instructional activity includes example problems for the...
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Disc/Washer Method
Students calculate the volume of solids. In this calculus instructional activity, 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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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 created by the...
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What is an Antiderivative? Slope Fields
Students take the derivative of a function. For this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
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Roller Coaster Robot
Students calculate the area under a curve. In this calculus lesson, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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