# Trapezoidal Rule Teacher Resources

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

In this integral worksheet, students 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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#### 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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#### 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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#### 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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#### 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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#### Graphs and Data

Learners investigate poverty using graphs. In this algebra instructional activity, 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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#### 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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#### Numerical Methods of Integration

Learners 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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#### 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

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

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#### Integrals

In 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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#### 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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#### Estimating he Value of a Definite Integral

In 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 activity, 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

In this calculus worksheet, learners 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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#### AP Calculus Practice Exam BC Version: Part B

In this calculus worksheet, 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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#### Numerical Integration

In this math activity, 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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#### Seventeen Various Integral Problems

In this integrals worksheet, 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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#### 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.

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#### AP Calculus Practice Exam

In this Calculus worksheet, students 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 activity, students are provided with questions that are reflective of the content of their exam. Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. The one...

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#### AP Calculus Practice Exam

For 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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#### Seventeen Multiple Choice Calculator AP Calculus BC Practice Test

In this AP Calculus BC worksheet, students answer seventeen multiple choice questions with the use of a calculator. The questions are a fifty minutes times practice test for the AP exam.