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Worksheet
Curated OER

Exploration 4: Definite Integrals by Trapezoidal Rule

For Students 10th - 12th
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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Worksheet
Curated OER

Trapezoid Rule, Simpson's Rule, Midpoint Rule

For Students 11th - Higher Ed
In this math activity, students practice using the rules of Trapezoid, Simpson, and Midpoint. Then they practice using the rules and justify the solutions.
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Activity
Houston Area Calculus Teachers

Collecting Driving Data

For Students 11th - Higher Ed
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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Worksheet
Curated OER

Basic Calculus II: Numerical Integration

For Students Higher Ed
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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Lesson Plan
Curated OER

Graphs and Data

For Teachers 7th - 10th
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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Lesson Plan
Curated OER

Trapezoid and Midpoint Rule

For Teachers 9th - 11th
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
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Lesson Plan
Curated OER

Area Under A Curve

For Teachers 9th - 11th
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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Lesson Plan
Curated OER

Numerical Methods of Integration

For Teachers 11th - 12th
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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Worksheet
Curated OER

Estimating he Value of a Definite Integral

For Students Higher Ed
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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Lesson Plan
Curated OER

Review for Test on sections 6.2-6.3

For Teachers 12th
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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Lesson Plan
Curated OER

Test on Chapter 8

For Teachers 12th
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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Worksheet
Curated OER

Integrals

For Students 11th - 12th
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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Activity
North Carolina State University

Shapes

For Teachers K - 2nd
Expose youngsters to 3-D objects in a hands-on learning activity involving marshmallows and toothpicks. Engage your young mathematicians by introducing them to 3-D shapes by means of a story book. Explore 3-D shapes by manipulating...
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Worksheet
Curated OER

Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
In this calculus learning exercise, 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. ...
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Worksheet
Curated OER

Sherlock Holmes' Real Train Adventure

For Students 11th - 12th
In this calculus worksheet, learners use the trapezoid and Simpson's rule to calculate the midpoint sum. They use a specific interval to perform their integration. There are 12 questions.
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Lesson Plan
Virginia Department of Education

Translation and Reflection

For Teachers 7th Standards
Bring about the change you want to see in the world  or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to develop...
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Unit Plan
PBS

Accessible Shapes

For Teachers 6th - 8th Standards
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
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Worksheet
Curated OER

Seventeen Various Integral Problems

For Students 11th - Higher Ed
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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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 12th - Higher Ed
In this calculus instructional activity, 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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Worksheet
Curated OER

AP Calculus Practice Exam BC Version: Part B

For Students 11th - 12th
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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Worksheet
Curated OER

Numerical Integration

For Students 11th - Higher Ed
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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Worksheet
Curated OER

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

For Students 11th - Higher Ed
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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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
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. ...