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Worksheet Two
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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Engineering in a Calculus Classroom
Young scholars 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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Quiz On Basic Integration Formulas
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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Video On Integration And Quiz On Induction
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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Riemann Rectangle Errors
Learners calculate the area under a curve. In this calculus instructional activity, 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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Riemann Sums
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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Solids of Revolution - Disks
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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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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Gateway Arc Length
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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Inverse Trigonometric Functions (Review)
Learners discuss the importance of inverse functions and derivatives. In this calculus instructional activity, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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Differential Equations
Learners solve derivatives of differential equations. In this calculus lesson, students solve equations using the derivative to obtain no differentials in the equation. They complete an assignment in the text book also.
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Average Value of a Function
Students investigate the average value of a function given different interval values. For this calculus lesson, students explore word problems and apply their knowledge of average value to find the answer. They apply previous knowledge...
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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 activity, 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 Section 6.1-6.6
Learners apply their knowledge of integration on this test. In this calculus instructional activity, students answer question about, riemann sums, integrals and calculate area under a curve. This instructional activity review these...
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Test on Sections 9.1-9.3
Students assess their mastery of integration techniques. In this calculus lesson, students solve problems by integration by parts, long division, and inverse trig. There are 2 versions of the same test.
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Review for Test on 3.1-3.5
Young scholars review integrals and how they apply to solving equations. For this calculus lesson, students assess their knowledge of derivatives, rate of change, and lines tangent to a curve. This assignment contains two version of the...
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Test on Chapter 7
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This assignment...
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Trapezoid and Midpoint Rule
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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Jurassic Park: The Science and Ethics of Genetic Engineering
Explore genetic engineering through an engaging "Jurassic Park" unit, which is an extensive use of a cross-curricular teaching event. Planned for AP Biology, English, and Calculus students, learners and teachers are involved for 4-6...
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Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
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Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on exponential and...
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The Exact Differential
Students integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Students integrate...
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Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus instructional activity, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their...