# Trapezoidal Rule Teacher Resources

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#### Exploration 4: Definite Integrals by Trapezoidal Rule

In this integral worksheet, learners geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...

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#### Numerical Methods of Integration

Students review Riemann Sums with rectangles, used to approximate the area under a curve. They listen as the teacher introduces the Trapezoidal Rule to approximate the area under a curve. Students use Simpson's Rule to find the area...

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#### Investigating Area Under a Curve

Taking a lesson straight from the calculus classroom and making it algebra appropriate is the task of the day. Learners go step by step through calculating different area approximations underlines and curves, reviewing many key geometry...

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#### The Great Calculus Caper

Motivate your classes with a unique approach to presenting problems. With this "caper," pupils must solve AP Calculus problems to eliminate suspects and determine the perpetrator. Topics range from velocity to trapezoid rule to volume of...

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#### Graphs and Data

Students investigate poverty using graphs. In this algebra lesson, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.

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#### Trapezoid Rule, Simpson's Rule, Midpoint Rule

In this math worksheet, students practice using the rules of Trapezoid, Simpson, and Midpoint. Then they practice using the rules and justify the solutions.

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#### Basic Calculus II: Numerical Integration

In this numerical integration worksheet, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.

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#### Calculus Practice Test: Velocity, Functions

In this calculus worksheet, 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. This...

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#### Collecting Driving Data

Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...

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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 Trapezoidal rules...

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#### Review for Test on sections 6.2-6.3

Twelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....

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#### Test on Chapter 8

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#### Integrals

For this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations. The two page worksheet contains sixteen problems. Answers are...

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#### Estimating he Value of a Definite Integral

For this definite integral worksheet, students solve three integrals for a defined value. They use the midpoint, trapezoidal, and Simpson's rules each one time to estimate the value of a definite integral.

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#### Average Roller Coaster

Students explore the concept of average value of a function. In this average value of a function lesson, students use their Ti-Nspire to determine the average value of a quadratic function. Students take the integrals of velocity...

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#### AP Calculus Practice Exam

In this practice exam learning exercise, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.

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#### AP Calculus Practice Exam BC Version: Part B

In this calculus learning exercise, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.

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#### Seventeen Various Integral Problems

In this integrals activity, students solve seventeen integral problems. One problem covers completing the square, one curve length, one partial fraction decomposition, one Simpson's rule, and several are trigonometric integrals.

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#### AP Calculus Practice Exam

In this Calculus worksheet, learners are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. ...

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#### AP Calculus Practice Exam

In this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. The four...

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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.

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#### AP Calculus Practice Exam

For this calculus worksheet, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.

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#### Numerical Integration

In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.

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#### A.P. Calculus Practice Exam AB Version- Section I- Part B

In this A. P. Calculus AB worksheet, students solve seventeen multiple-choice problems with a graphing calculator. This worksheet is designed as a practice test for the A.P. Exam and should be timed.