Lesson Plan
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Integration Formulas

For Teachers 12th
Twelfth graders review differential formulas and find their corresponding integration formula. For this calculus lesson, 12th graders review differential and integral formulas as it pertaining to solving calculus problems.  They...
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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...
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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 plan, 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....
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Proof by Induction

For Teachers 12th
Twelfth graders define and prove theorems using induction. For this calculus lesson, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
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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...
Worksheet
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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.
Worksheet
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Limits and Functions

For Students 11th - 12th
In this calculus worksheet, students 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.
Lesson Plan
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Cylindrical Soda Can

For Teachers 10th - 12th Standards
Young scholars explore an application of differentiation in this calculus lesson. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has the...
Worksheet
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Math 16C: Worksheet 10

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

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

For Students 11th - Higher Ed
In this math instructional activity, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.
Worksheet
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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.
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.
Lesson Plan
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Rules For Differentiation

For Teachers 9th - 12th
Pupils 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...
Lesson Plan
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Euler's Method

For Teachers 9th - 12th Standards
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.
Lesson Plan
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Roller Coaster Robot

For Teachers 10th - 12th
Pupils calculate the area under a curve. In this calculus lesson, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
Worksheet
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Worksheet 1

For Students 11th - Higher Ed
In this math worksheet, learners give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
Lesson Plan
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What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Learners take the derivative of a function. In this calculus instructional activity, students define slope fields and what they are used for. They relate slope fields to the real world.
Lesson Plan
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Simple Harmonic Motion

For Teachers 10th - 12th
Learners 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.
Lesson Plan
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Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
Students 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.
Worksheet
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Math 155 Worksheet 7

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

For Students 11th
In this calculus worksheet, 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.
Worksheet
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Average Value of a Function

For Students 12th
In this calculus worksheet, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.
Lesson Plan
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Product Rule

For Teachers 11th - Higher Ed
Students 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 proving...