Calculus Teacher Resources
Calculus is the study of change, and the place where one has finally aquired enough of a math background to finally solve some real problems!
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Volumes of Solids and Revolution
Students find the volume under a curve using the washer method. In this calculus lesson, students investigate solids and calculate the volume of an object rotation using the washer method. They investigate solids that rotate around...
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Length of an Arc
Twelfth graders define an arc and find its length. For this calculus lesson, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...
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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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Integration Involving Inverse Trig Functions
Students review the steps for integration and solve equations using integration by parts. In this calculus instructional activity, students apply their knowledge of integration to inverse trig function. Students review their trig and...
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Integration By Parts
Twelfth graders define integration by parts and solve integrals. In this calculus instructional activity, 12th graders integrate functions using the product rule. They work example problems with the teacher before doing it on their own.
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Integration By Parts and Quiz on Basic Integration Formulas
Students solve integrals using integration by parts. In this calculus lesson, students review problems using integration by parts, repeated integration by parts and constant integration. They take a Quiz after they solve review...
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Integrals with even Powers of Sine and Cosine
Twelfth graders define integrals and solve equations with trig functions. In this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
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Integrals with Secant Powers of Secant Tangent
Twelfth graders integrate trig functions with even powers. In this calculus lesson, 12th graders apply their knowledge of trig functions to help them integrate tangents and secants containing even exponents. They integrate the integrals...
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Test on Sections 9.1-9.3
Learners assess their mastery of integration techniques. In this calculus lesson plan, students solve problems by integration by parts, long division, and inverse trig. There are 2 versions of the same test.
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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
Students define and review techniques for integration by parts. For this calculus lesson, 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 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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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,...
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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 instructional activity, 12th graders review average rate change, parametric equations, a line tangent to a...
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Ellipses
Learners define ellipses and their properties. For this calculus lesson, 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 like in 3D.
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Hyperbolas
Students investigate hyperbolas by writing equations and answering specific questions. In this calculus lesson, 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. In this calculus lesson plan, 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 instructional activity, 12th graders review equations of graphs, relationship between graphs and equations, and transformation of graphs. After the review...
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Graphing Polar Coordinates
Young scholars define polar equations and learn to plot them. In this calculus instructional activity, students relate polar equations to real life scenarios such as plants and comic strips. They discuss and define the curves of polar...
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Derivatives
In this calculus worksheet, students take the derivative of functions and identify the instantaneous rata of change. There are 20 questions.
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Curve Sketching
In this calculus worksheet, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are 10 problems...
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