Curated OER
Euler Encore 1
In this math worksheet, students use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
College Board
1999 AP® Calculus BC Free-Response Questions
Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...
Curated OER
Worksheet 30 - Intervals
In this interval worksheet, students divide functions into intervals. They computer the upper and lower sums for the partition. This two-page worksheet contains approximately eight multi-step problems.
Curated OER
Discussion Sheet 2: Indefinite Integrals
For this indefinite integral worksheet, students compute the volume of a solid located between planes. They evaluate the average value of functions over a given interval and sketch functions. Students find the sum of numbers in a...
Curated OER
Simpson's Rule
In this integral learning exercise, students use the Simpsons's Rule for evaluating integrals. They use different methods to calculate integrals and compare the results. This eight-page learning exercise contains approximately 16...
Curated OER
Math 155 Worksheet 11
In this college level calculus worksheet, students use Riemann Sums to evaluate the given integrals and compare the answer to the limit. The two page worksheet contains four problems. Answers are not provided.Â
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Matrices
In this calculus learning exercise, learners practice solving equations of area and integrals. There are 14 multi-step problems.
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Worksheet 8 - Spring 1996
For this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
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Worksheet 28 - Fall 1995
In this math worksheet, students define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..
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Worksheet 13
In this math activity, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
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Riemann Rectangle Errors
High schoolers calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
Curated OER
Calculus Test
In this calculus learning exercise, learners integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
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Parabolic Equations
In this parabolic activity, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page activity...
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Integrals with Even Powers of Sine and Cosine
Young scholars discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
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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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Infinite Series: Convergent or Divergent
In this infinite series worksheet, students use the Integral Test to determine if a function is convergent or divergent. They use the Comparison Test to prove convergence and calculate partial sums. This two-page worksheet contains...
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Worksheet 23
In this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Convergence Tests for Infinite Series
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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Precalculus Exam
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Modeling a Planetary Nebula
For this modeling a planetary nebula worksheet, students use a diagram to calculate the intensity at different radii from the center of the nebula. Students use the Pythagorean Theorem to determine the distance between two points on the...
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Worksheet 9
In this math worksheet, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.
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How Atoms Work
High schoolers analyze the way atoms function and how they combine to form molecules and various compounds. Using a software program, they create a diagram of an atom and write a summary about their functions. They complete a worksheet...
Curated OER
Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus lesson plan, students solve areas rotated and bounded by two functions. They solve using the washer method.