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Worksheet 3: Graphing Speed and Time
In this graphing speed and time worksheet, students answer 7 questions regarding graphing, speed, distance, derivatives, Newton's method and wheel radius.
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The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The activity introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
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Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
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Rates Problems
Students engage in a lesson that is about the concept of using rates in the context of finding the solution using different types of problems provided in the lesson plan. The lesson includes a review of the strategy to solve problems...
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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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Beginning the Year with Local Linearity
Students investigate an article on local linearity. In this calculus lesson plan, 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...
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Velocity, Position, Distance
Students solve problems involving motion and distance. In this calculus activity, students use to derivative to calculate the velocity-of a function. They observe objects moving along a straight line.
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What is an Antiderivative? Slope Fields
Students take the derivative of a function. In 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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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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Roller Coaster Robot
Young scholars 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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Euler's Method
Learners identify Euler's method of graphing in this calculus instructional activity. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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Parametric Equations
Students investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson plan for...
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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, high schoolers explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...
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Differentials
Students 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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Test on Limits and Continuity
Students review concepts of logarithms for their test. In this calculus lesson plan, 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
Pupils define the product rule and use it to solve problems. For this calculus lesson, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by proving the...
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Implicit Differentiation
Learners 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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Speaking Parametrically
Students solve equations by taking the derivative. In this calculus lesson, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.
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Limits of Trigonometric Functions
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
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Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
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Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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Exploring the Landscape
Young scholars determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.
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Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
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Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.