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Worksheet
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Worksheet 28 - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..
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Lesson Plan
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What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Young scholars take the derivative of a function. In 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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Lesson Plan
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Roller Coaster Robot

For Teachers 10th - 12th
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.
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Worksheet
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Math 155 Review Worksheet 10

For Students Higher Ed
In this college level Calculus learning exercise, students evaluate indefinite and definite integrals.  The two page learning exercise contains eight problems.  Answers are not included. 
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Worksheet
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Math 155-Worksheet 10

For Students Higher Ed
In this college calculus worksheet, students evaluate the given indefinite integrals.  The two page worksheet contains eight problems.  Answers are not included. 
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Worksheet
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Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math instructional activity, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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Worksheet
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The Pink Panther

For Students 11th - 12th
In this calculus worksheet, learners use tangrams to create different shapes and patterns. They relate each segments to a trigonometric identity with its integral.
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Lesson Plan
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Wind, Pressure, Force, Calculus and Engineering Connections

For Teachers 12th
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus activity, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real...
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Lesson Plan
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Worksheet Two

For Teachers Higher Ed
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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Worksheet
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Challenge Sheet 2: Evaluate Functions

For Students Higher Ed
In this function activity, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page activity contains seven problems.
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Worksheet
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AP Calculus Practice Exam

For Students 11th - 12th
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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Worksheet
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Discussion Sheet 3

For Students 11th - Higher Ed
In this math worksheet, students determine the maximum and minimum values for the functions. Then they evaluate the double integrals.
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Worksheet
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Simpson's Rule

For Students Higher Ed
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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Lesson Plan
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Engineering in a Calculus Classroom

For Teachers 11th - 12th
Learners solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Lesson Plan
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Quiz On Basic Integration Formulas

For Teachers 9th - 12th
Young scholars participate in a formal assessment of knowledge concerning the basic Integration Formulas. They apply the review practices given in the resource links to problems found in the assessment. The teacher should use these as...
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Interactive
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Review of Calculus

For Students 12th
For this calculus worksheet, 12th graders solve problems that cover a variety of topics, including limits, derivatives, integrals, and problem solving.  The one page interactive worksheet contains forty-eight questions and is self...
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Interactive
Curated OER

Review of Calculus BC II

For Students 11th - 12th
In this Calculus learning exercise, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page...
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Lesson Plan
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Video On Integration And Quiz On Induction

For Teachers 10th - 12th
Students 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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Worksheet
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Multivariable Calculus

For Students Higher Ed
In this multiple integration worksheet, students set up and evaluate double and triple integrals. Students compute the volume of a tetrahedron bounded by defined planes.
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Lesson Plan
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Riemann Rectangle Errors

For Teachers 9th - 12th Standards
Students calculate the area under a curve. In this calculus lesson plan, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
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Lesson Plan
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Riemann Sums

For Teachers 10th - 12th Standards
Students calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
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Lesson Plan
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Solids of Revolution - Disks

For Teachers 9th - 12th Standards
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
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Lesson Plan
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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
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Gateway Arc Length

For Teachers 9th - 12th Standards
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.

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