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Review of Calculus BC II
In this Calculus learning exercise, 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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Riemann Rectangle Errors
Learners calculate the area under a curve. In this calculus instructional activity, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
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Riemann Sums
Students calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
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Solids of Revolution - Disks
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
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Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
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Inverse Trigonometric Functions (Review)
Learners discuss the importance of inverse functions and derivatives. In this calculus instructional activity, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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Substitution Method
In this calculus worksheet, learners solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.
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Differential Equations
Learners solve derivatives of differential equations. In this calculus lesson, students solve equations using the derivative to obtain no differentials in the equation. They complete an assignment in the text book also.
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Multivariable Calculus: Change of Variables Theorem
In this change of variables activity, students complete integral problems through the use of Jacobi's Theorem. They use various methods to convert from Cartesian coordinates to polar, spherical and cylindrical coordinates. This...
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Test on Chapter 7
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This assignment...
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Applying the Fundamental Theorem of Calculus
In this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
Mrs. Burke's Math Page
Let Them Eat Pi
Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...
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Trapezoid and Midpoint Rule
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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Jurassic Park: The Science and Ethics of Genetic Engineering
Explore genetic engineering through an engaging "Jurassic Park" unit, which is an extensive use of a cross-curricular teaching event. Planned for AP Biology, English, and Calculus students, learners and teachers are involved for 4-6...
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Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on exponential and...
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Partial Fraction Review Problems
For this college Calculus worksheet, students determine the value of the integrals using partial fractions. The one page worksheet contains six problems. Answers are not included.
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Worksheet 2 - Spring 1996
In this math worksheet, students state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
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Sherlock Holmes' Real Train Adventure
In this calculus worksheet, learners use the trapezoid and Simpson's rule to calculate the midpoint sum. They use a specific interval to perform their integration. There are 12 questions.
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The Exact Differential
Students integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Students integrate...
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Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus lesson, students solve areas rotated and bounded by two functions. They solve using the washer method.
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Worksheet 38
In this math learning exercise, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in...
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Worksheet 36 - Fall 1995
In this math worksheet, learners examine the formula for creating a chemical compound. Then they seek to compute the use of an integration.
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Worksheet 3
In this math instructional activity, students calculate the indefinite integrals. They also find the differential functions. Finally social diffusion is used to describe how information is passed through a sample population.