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Area Between Two Curves
Twelfth graders identify and find the area between two curves. In 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
Young scholars perform functional analysis. In 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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What is an Antiderivative? Slope Fields
Students take the derivative of a function. In this calculus lesson plan, students define slope fields and what they are used for. They relate slope fields to the real world.
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Roller Coaster Robot
Learners calculate the area under a curve. In this calculus lesson plan, 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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Velocity, Position, Distance
Young scholars solve problems involving motion and distance. In this calculus lesson, students use to derivative to calculate the velocity-of a function. They observe objects moving along a straight line.
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MVT for Integrals
Students identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
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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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Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus lesson, students solve areas rotated and bounded by two functions. They solve using the washer method.
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Simple Harmonic Motion
Students solve problems involving graphs. In this calculus lesson, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Secant Line Approximation of the Tangent Line
Students perform operation with secant and tangent lines. In this calculus instructional activity, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a...
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Exploring the FTC using the TI
Students use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
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Related Robots
Students solve problems using implicit differentiation. In this calculus lesson plan, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two robots.
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Beginning the Year with Local Linearity
Learners investigate an article on local linearity. In this calculus lesson, students read about the application of math in the real world. They gain insight from the teachers view of how to teach and relate the topic to the real world.
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#3 Differential Calculus
Students create models of the Mean Value Theorem. In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem. They illustrate the meaning of the throrem,...
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Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
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Computation of Limits
Students discuss the importance of limits as it relates to calculus. In this calculus lesson plan, students define limit and memorize the three rules of limits. They work problems to enhance their understanding of how limits function.
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Enumeration
In this calculus lesson, students review counting using the principles of Enumeration. They use random selections to count and convert word problems and count. There are 21 problems with an answer key.
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Intuitive Approach to Limits
Students view examples of art work that illustrate limits in calculus. Students will lecture on limits and then complete practice drill. This lesson plan does not include a defined procedure or practice problems. All the art links work...
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Limits with a Calculator
Students investigate Limits using a graphing calculator or TI. In this calculus lesson, students solve limit problems through modeling and relation to the real world. They use correct notation and solve problems involving more than one...
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Test on Limits and Continuity
Students review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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Product Rule
Young scholars define the product rule and use it to solve problems. In this calculus lesson, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by...
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Differentials
Learners investigate Differential equations using derivatives. In this calculus lesson, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation and circle. They...
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Implicit Differentiation
Students define and use implicit differentiation to solve equations. In this calculus lesson, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
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Logariths
Pupils analyze, discuss and memorize the properties of logs. In this calculus instructional activity, students apply the rules of logs while playing a timed game to see which group can write the equations correctly. They walk away from...
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