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Concavity of a Graph
Learners explore the graph of a function. In this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
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Critical Points
Students identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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Mean Value Theorem
Students calculate the slopes of secant lines. In this calculus lesson, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
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Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
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Integration
In this calculus worksheet, learners solve problems by integration and taking the derivatives. There are 34 integration problems to review for major concepts in calculus.
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Implicit Differentiation
In this calculus learning exercise, students solve equations using the derivative and implicit differentiation. There are 14 questions with an answer key.
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Basic Integration and Substitution
In this calculus worksheet, students perform basic integration and substitution. They solve rational expressions through the derivative. There are 26 questions.
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Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the...
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Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus
For this logarithms worksheet, students evaluate and solve equations with logarithms. They derive the formula for a derivative of a given function. Students explain the differences between logarithms. This one-page...
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The Calculus Whiz Who Owned a Box Company
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization activity, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page activity contains two...
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A.P. Calculus Exam Prep
In this A.P. Calculus exam practice test, learners 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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Calculus Test
In this calculus learning exercise, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics. The one page learning exercise contains twenty-eight multiple choice...
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Review of Calculus
In this calculus worksheet, 12th graders solve problems that cover a variety of topics, including limits, derivatives, integrals, and problem solving. The one page interactive worksheet contains forty-eight questions and is self...
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Review of Calculus BC II
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series. The one page...
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Minimums, Maximums and Zeroes
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus instructional activity. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and...
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Optimization
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
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Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson plan, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
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A Tale of Two Lines
Students graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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Position, Distance, Velocity
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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Rules for Differentiation
Twelfth graders review the rules for derivatives and use them to solve problems. In this calculus lesson, 12th graders apply the power rules for derivatives correctly to solve equations. This assignment contains lots of examples of...
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Filling The Urn
Students calculate the area under a curve. In this calculus instructional activity,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
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Newton's Method
Student approximate the roots of E using Newtons Method. In this calculus instructional activity, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.
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Practicing the Chain Rules
In this calculus instructional activity, students solve problems using the chain rule to take the derivative and solve the function. There are 6 questions which require the students to find the correct strategy to solve the equations.