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The Second Derivative Test for Relative Extrema in Three Dimensional Space
In this math worksheet, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.
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The Football Kick:An Application of Parametric Equations
High schoolers investigate the concepts relating to the solving of parametric equations. They take the derivatives of parametric equations during guided and independent practice using the problems provided in the lesson plan. Students...
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Algebra Skills Sections 23
In this algebra skills worksheet, high schoolers solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.
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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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Twelve Related Rates Word Problems
In this word problems learning exercise, students solve twelve related rates word problems. Knowledge of geometry is necessary to complete these problems.
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Distance, Velocity, and Acceleration
Young scholars engage in a lesson that is concerned with the measurement of distance, velocity, and acceleration with the use of derivatives. They follow examples given in the lesson to compute the velocity and acceleration for a...
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Compund Interest and Quiz on Logs
Students discuss compound interest and formulas for compound interest. They listen as the teacher describes continuous compounding and derivations. Students work problems involving compound interest. They compute the effective annual...
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Logarithmic Differentiation
Students engage in a activity that is about the concept of logarithmic differentiation. They practice solving problems to take derivatives of expressions by applying logarithms. The activity includes examples the teacher could use for...
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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.
Mathematics Assessment Project
Bestsize Cans
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The lesson 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.
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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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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Math 150 Limit computations
In this college level calculus instructional activity, students evaluate the given limits and find the indicated derivatives. The two page instructional activity contains ten problems. Answers are not included.
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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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Math 155 Review Worksheet for Exam 1
In this college level calculus worksheet, students evaluate the given limits or show that the limit does not exist. Students determine the derivative of the given functions. The two page worksheet contains twenty-six...
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Math 155 Review Worksheet 5
In this college level Calculus learning exercise, students find the derivative of the given function and find the rate of change of the area of a circle with respect to its circumference. The two page learning exercise contains...
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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
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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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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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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Worksheet 5
In 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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Euler's Method
Learners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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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.