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Worksheet
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A.P. Calculus Exam Prep

For Students 11th - Higher Ed
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
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Multivariable Calculus: The Gradient

For Students Higher Ed
For this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...
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Lesson Plan
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Integration Formulas

For Teachers 12th
Twelfth graders review differential formulas and find their corresponding integration formula. In this calculus lesson, 12th graders review differential and integral formulas as it pertaining to solving calculus problems.  They develop...
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Lesson Plan
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Total Distance versus Displacement

For Teachers 12th
Twelfth graders differentiate between total distance and displacement. In this calculus lesson, 12th graders rewrite word problems using calculus terminology and solve for distance in miles per hour. They analyze and solve word problems...
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Limits and Functions

For Students 11th - 12th
In this calculus activity, learners solve for the limit using special functions such as e and trig. They discuss the special rules differentiating these functions when it comes to taking the limit as x approaches zero.
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Lesson Plan
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Review for Test on Derivatives.

For Teachers 12th - Higher Ed
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...
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Lesson Plan
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Proof by Induction

For Teachers 12th
Twelfth graders define and prove theorems using induction. In this calculus instructional activity, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
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Lesson Plan
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Slope Fields

For Teachers 12th
Twelfth graders define and sketch slope fields. In this calculus lesson, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their work for the right...
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Periodic Functions

For Students 10th - 12th
In this calculus worksheet, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
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Math 16C: Worksheet 10

For Students 12th - Higher Ed
In this calculus worksheet, students answer eleven short-answer problems regarding differentiation methods, common functions, the Maclaurin series, and the Taylor series.
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Applications of Derivatives: Finding Maxima and Minima

For Students 12th - Higher Ed
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
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Worksheet 15 Computer Lab

For Students 11th - Higher Ed
In this math worksheet, learners discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.
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Learning the Anti-differentiation Process

For Students 11th - Higher Ed
In this math worksheet, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
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Worksheet
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Multivariable Calculus: Conservative Vector Fields

For Students Higher Ed
In this vector field worksheet, students explore the properties of conservative vector fields. They solve problems for a given field. This two-page worksheet contains explanations, examples and five equations.
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Lesson Plan
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Zeros of a Cubic

For Teachers 9th - 12th Standards
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function.  The lesson also contains an application of differentiation. 
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Lesson Plan
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Rules For Differentiation

For Teachers 9th - 12th
Students investigate the concepts related to derivatives tat include the Power Rule and then apply the appropriate derivative formula to solve the different problems. They practice reading the rules of derivatives included in the lesson...
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Lesson Plan
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Roller Coaster Robot

For Teachers 10th - 12th
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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Lesson Plan
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Euler's Method

For Teachers 9th - 12th Standards
Learners identify Euler's method of graphing in this calculus 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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Worksheet 1

For Students 11th - Higher Ed
In this math worksheet, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
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Lesson Plan
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Simple Harmonic Motion

For Teachers 10th - 12th
Students solve problems involving graphs. In this calculus lesson plan, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Lesson Plan
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Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
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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Lesson Plan
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What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
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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Worksheet
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Math 155 Worksheet 7

For Students Higher Ed
In this college level Calculus worksheet, students use implicit differentiation to find dx/dy or the rate of change.  The two page worksheet contains six problems.  Answers are not included. 
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Worksheet
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Find the Average Value of a Function

For Students 11th
In this calculus learning exercise, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.