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Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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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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Summary of Techniques of Integration
Young scholars define and review techniques for integration by parts. In this calculus lesson plan, students solve rational expression using integration and apply the partial fraction rule. They practice solving problems online.
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Numerical Methods of Integration
Students calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
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Review of Techniques of Integration
Twelfth graders review techniques of integration. In this calculus lesson, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle puzzle...
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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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Final Exam Multiple Choice
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule, and...
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Final Exam Multiple Choice part B
Twelfth graders review the properties of derivatives without a calculator to get get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule,...
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Ellipses
Students define ellipses and their properties. In this calculus instructional activity, students analyze ellipses for their shape, center, major and minor axes. They create a paper ellipse to have a visual of what an ellipse really looks...
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Hyperbolas
Students investigate hyperbolas by writing equations and answering specific questions. In this calculus instructional activity, students graph a hyperbola given the center, foci and directrix. They write the equation of the given hyperbola.
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Graphing Conics
Students explore conics using four different graphs. For this calculus lesson, students analyze parabola, hyperbolas, circles and ellipses. They find the directrix and discuss how they relate to each type of graph.
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Test on Analytic Geometry/Play Green Globs
Twelfth graders review for their analytic geometry test. In this calculus lesson, 12th graders review equations of graphs, relationship between graphs and equations, and transformation of graphs. After the review students are given a...
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Graphing Polar Coordinates
Young scholars define polar equations and learn to plot them. In this calculus lesson, students relate polar equations to real life scenarios such as plants and comic strips. They discuss and define the curves of polar equations.
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Pick's Theorem
Learners investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.
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Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
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Is There a Limit to Which Side You Can Take?
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
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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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Evaporation Pans & Related Rates
Students calculate evaporation rate using differential equations. In this calculus lesson, students explain how pan evaporation works. They complete a worksheet to sum up the lesson.
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Euler's Method
Learners identify Euler's method of graphing in this calculus lesson plan. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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Exploring Functions and Their Derivatives
Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
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Introduction to Slope Fields
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
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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...
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Area Between Two Curves
Twelfth graders identify and find the area between two curves. For this calculus lesson, 12th graders decide what the best way is to find the shaded area between two curves using examples from previous lessons. They relate areas between...
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Functional Analysis
Students perform functional analysis. For this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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