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Definite Integral
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
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AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
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Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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Integration By Substitution
Young scholars calculate the solution using integrals in this calculus lesson plan. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
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Integration By Parts
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
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Elevator Height as Integral of Velocity
Pupils investigate integrals and their relationship to velocity in this calculus lesson. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
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The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus instructional activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, learners solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Integrals by Partial Fractions
Students solve integrals using partial fractions. In this calculus lesson, students solve equations using the Heaviside Method if all the number in the denominators are not repeating. They complete an assignment in the text book also.
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Filling The Urn
Students calculate the area under a curve. In this calculus lesson,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
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Disc/Washer Method
Young scholars calculate the volume of solids. In this calculus activity, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that...
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Riemann Rectangle Errors
Students calculate the area under a curve. In this calculus lesson, 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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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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Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
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Riemann Sums
Students calculate the area under a curve. For 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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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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Slope Fields
Students create and analyze slope fields. In this calculus lesson plan, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
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An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle,...
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Unit Circle Lesson Plan
Learners identify different locations on a unit circle. For this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...