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Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
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Curve Sketching
In this calculus instructional activity, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are...
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Curve Sketching
In this calculus worksheet, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
College Board
AP Calculus: Slope Fields
Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...
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Three Calculus Overview Problems
In this calculus overview activity, students: find the equation of a tangent line, curve sketch, and find limits. Students should have covered continuity as well.
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Curve Sketching
In this calculus instructional activity, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
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Worksheet Two
In this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...
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Properties of Curves
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. Answers are...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
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Worksheet 3
In this calculus worksheet, students sketch a level curve on an xy-plane for 10 given equations. Students then sketch the related surface in 3D-space.
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Intro to Derivatives
In this calculus worksheet, students find the line tangent to a curve using the derivative. They graph the slope and identify the line of tangency. There are 6 questions.
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Roller Coaster Robot
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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Worksheet 28 - Spring 1996
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
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Areas Between the Curves
In this algebra worksheet, students solve and complete 12 problems involving sine, cosine, area and function.
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Review For Test On Chapter 5
Students engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The lesson includes an outline of review that should be used by the teacher before...
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Slope Fields
Students sketch a slope field for a given differential equation, given a slope field. They also match a slope field to a differential equation and match a slope field to a solution of a differential equation. Finally, students use a...
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Worksheet 35 - Fall 1995
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.
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Worksheet 17 Practice Exam
For this math worksheet, learners complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.
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Infinite Series
In this math instructional activity, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Worksheet 33 Spring 1996
In this math worksheet, students find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.
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Worksheet 19
In this math worksheet, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).
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Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
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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.