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Lesson Plan
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The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
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Worksheet
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AP Calculus Practice Exam

For Students 11th - 12th
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Worksheet
Curated OER

Calculus Exam

For Students 11th
In In this calculus worksheet, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the worksheet.
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Worksheet
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AP Calculus Practice Exam

For Students 12th - Higher Ed
In this calculus worksheet, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
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Lesson Plan
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Video on Integration and Quiz on Induction

For Teachers 11th - Higher Ed
Students investigate proofs through practice and example. In this calculus instructional activity, students watch a video on integration, discuss induction and take a quiz. They prove their understanding of a proof by induction.
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Lesson Plan
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Integrals by Partial Fractions

For Teachers 11th - 12th
Students solve integrals using partial fractions. In this calculus lesson, students solve equations using the Heaviside Method if all the number in the denominators are not repeating. They complete an assignment in the text book also.
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Worksheet
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I Have Who Has Cards - Integration Formulas

For Students 11th - 12th
In this calculus instructional activity, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
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Worksheet
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Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, students practice solving problems that will be on their calculus exam. They evaluate, take the derivative and find the slope of a tangent line. There are 28 questions.
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Lesson Plan
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Numerical Methods of Integration

For Teachers 10th - 12th
Students calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
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Lesson Plan
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Integrals with odd powers of secant and tangent

For Teachers 12th
Twelfth graders solve equations containing powers of sec and tan. For this caclculus lesson, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
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Lesson Plan
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Integrals involving Trig Substitution

For Teachers 12th
Twelfth graders solve derivatives using trig substitution. In 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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Lesson Plan
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MVT for Integrals

For Teachers 10th - 12th
Students identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
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Worksheet
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Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
For this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
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Worksheet
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Changing Order of Integration of a Triple Integral

For Students 11th - Higher Ed
In this math learning exercise, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
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Worksheet
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Numerical Integration

For Students 11th - Higher Ed
In this math activity, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
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AP Test Prep
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Flipped Math

Calculus AB/BC - Unit 7 Review: Differential Equations

For Students 10th - 12th
Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...
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Worksheet
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A.P. Calculus Test Covering Limits, Derivatives, and Integrals

For Students 12th - Higher Ed
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals.  Students should have covered trig limits prior to this worksheet.
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Worksheet
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Calculus Test

For Students 11th - Higher Ed
In this calculus activity, students 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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Worksheet
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AP Calculus Practice Exam

For Students 11th - 12th
For this Calculus worksheet, students are provided with problems of a similar nature to those on their exam.  Problems include limits, derivatives, and integrals.  The four page worksheet contains twenty-eight problems.  Answers are not...
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Worksheet
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Twenty Various Multiple Choice and Free-response Indefinite Integrals

For Students 11th - Higher Ed
For this integrals worksheet, students integrate various indefinite integrals in six multiple choice and fourteen  free response problems.  These problems include: trigonometric functions, u substitutions, and Ln.
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Worksheet
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Math 224 Multivariable Calculus Quiz

For Students 11th - Higher Ed
In this math worksheet, students practice the concept of multiple integration. They take a quiz based on applying the concept and show all their work for the two problems.
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Worksheet
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
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Worksheet
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals worksheet, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...
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Worksheet
Curated OER

Integral Exchange: Applying Integration By Substitution

For Students 11th - Higher Ed
In this math worksheet, students practice using the method of substitution with the integrals. They read the examples and then work in groups to apply the method.

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