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Velocity, Position, Distance
Students solve problems involving motion and distance. In this calculus instructional activity, 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
Young scholars 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
Learners 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
Pupils 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
Pupils perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
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What is an Antiderivative? Slope Fields
Students take the derivative of a function. For this calculus lesson, 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
Students 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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Exploring the FTC using the TI
Learners use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson plan, 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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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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Worksheet 31 - Spring 1996
In this math worksheet, learners read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.
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Worksheet 2 - Spring 1996
In this math worksheet, students state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
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Worksheet 2
In this math worksheet, learners state the definition of a definite integral. Then they describe the Fundamental Theorem of Calculus.
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Worksheet 5
For this math worksheet, students describe how to define surface area given a variety of situations from word problems. They solve for the volume using calculus.
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Integration of Functions
In this calculus worksheet, students integrate given functions following the integration rules. They simplify their answers with trig. values. There are 8 questions with an answer key.
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Limits of Functions
In this calculus activity, 12th graders solve problems containing limits using the rules of limits. There are 2 questions on this activity requiring students to show knowledge of the rules of limits.
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Limits and Functions
In this calculus worksheet, students apply the properties of limits as they solve 40 functions with x approaching 1.
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Integrals
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations. The two page worksheet contains sixteen problems. ...
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Related Robots
Students solve problems using implicit differentiation. In this calculus activity, 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
Students 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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Calculus Assignment: Derivative
In this derivative worksheet, students use the definition of the derivative to solve given function problems. This two-page worksheet contains four multi-step problems. Answers are given on page two of the worksheet.
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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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Calculus Test: Integral
In this integral worksheet, students determine the area of a region bounded by given lines. They compute the volume of a solid in a specified region. This two-page worksheet contains 10 multi-step problems.
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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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