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Final Exam Multiple Choice

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus instructional activity, 12th graders review average rate change, parametric equations, a line tangent to a curve,...
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Final Exam Multiple Choice part B

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get get ready for their test. In this calculus activity, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
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Lesson Plan
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Introduction to Integration

For Teachers 11th - Higher Ed
Students discuss the importance of Integrals as it relates to calculus. In this calculus lesson, students define Integrals and practice taking the integrals of polynomials. They work problems to enhance their understanding of how...
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Test on 3.1-3.5

For Teachers 12th
Twelfth graders assess their knowledge of trig functions and their properties. In this calculus instructional activity, 12th graders take a test on derivatives, trig functions, and the quotient rule. There are 2 different versions of the...
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Lesson Plan
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The Football Kick An Application of Parametric Equations

For Teachers 12th
Twelfth graders define parametric equations and take the derivative of parametric equations. In this calculus lesson plan, 12th graders solve word problems using parametric equations to find x,y and z. They observe graphics and complete...
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Lesson Plan
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Position, Distance, Velocity

For Teachers 9th - 12th Standards
Learners calculate the position, distance and velocity using functions in this calculus lesson. They investigate horizontal motion through the derivative of functions and use the TI to create a visual of their function.
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Infestation to Extermination

For Teachers 9th - 12th Standards
Students solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
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Integrals involving Trig Substitution

For Teachers 12th
Twelfth graders solve derivatives using trig substitution. For this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
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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.
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Simple Harmonic Motion

For Teachers 10th - 12th
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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Velocity, Position, Distance

For Teachers 9th - 10th
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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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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Trapezoid and Midpoint Rule

For Teachers 9th - 11th
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

For Teachers 10th - 12th
Students calculate the area under a curve. In this calculus instructional activity, 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

For Teachers 9th - 12th Standards
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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Differentials

For Teachers 10th - 12th
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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Lesson Plan
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Test on Limits and Continuity

For Teachers 11th - 12th
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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Lesson Plan
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Product Rule

For Teachers 11th - Higher Ed
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

For Teachers 11th - 12th
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

For Teachers 9th - 11th
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

For Teachers 11th - 12th
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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Area Under A Curve

For Teachers 9th - 11th
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

For Teachers 9th - Higher Ed
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Trigonometric Functions of Acute Right Triangles

For Teachers 9th - 11th
Learners derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...